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Journal articles on the topic 'IIR FILTER DESIGN'

Author: Grafiati

Published: 11 September 2023

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1

Mewada, Hiren K., and Jitendra Chaudhari. "Low computation digital down converter using polyphase IIR filter." Circuit World 45, no. 3 (August 5, 2019): 169–78. http://dx.doi.org/10.1108/cw-02-2019-0015.

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Purpose The digital down converter (DDC) is a principal component in modern communication systems. The DDC process traditionally entails quadrature down conversion, bandwidth reducing filters and commensurate sample rate reduction. To avoid group delay, distortion linear phase FIR filters are used in the DDC. The filter performance specifications related to deep stopband attenuation, small in-band ripple and narrow transition bandwidth lead to filters with a large number of coefficients. To reduce the computational workload of the filtering process, filtering is often performed as a two-stage process, the first stage being a down sampling Hoegenauer (or cascade-integrated comb) filter and a reduced sample rate FIR filter. An alternative option is an M-Path polyphase partition of a band cantered FIR filter. Even though IIR filters offer reduced workload to implement a specific filtering task, the authors avoid using them because of their poor group delay characteristics. This paper aims to propose the design of M-path, approximately linear phase IIR filters as an alternative option to the M-path FIR filter. Design/methodology/approach Two filter designs are presented in the paper. The first approach uses linear phase IIR low pass structure to reduce the filter’s coefficient. Whereas the second approach uses multipath polyphase structure to design approximately linear phase IIR filter in DDC. Findings The authors have compared the performance and workload of the proposed polyphase structured IIR filters with state-of-the-art filter design used in DDC. The proposed design is seen to satisfy tight design specification with a significant reduction in arithmetic operations and required power consumption. Originality/value The proposed design is an alternate solution to the M-path polyphase FIR filter offering very less number of coefficients in the filter design. Proposed DDC using polyphase structured IIR filter satisfies the requirement of linear phase with the least number of computation cost in comparison with other DDC structure.

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2

Yue, Dachao, and Haikuan Liu. "The Design Of Intelligent Filter For EEG." MATEC Web of Conferences 232 (2018): 04023. http://dx.doi.org/10.1051/matecconf/201823204023.

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EEG data processing method is usually digital filter designed by the traditional method. Its disadvantage is the transition zone is wide and the filtering effect is poor. Using an improved particle swarm optimization algorithm on IIR digital filters design, the performances of filters designed by various methods are compared and analyzed. Experiments illustrate particle swarm optimization algorithm is effective in IIR filter design and its performance is promising.

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3

Konopacki, Jacek, and Katarzyna Mościńska. "A Procedure for Quasi-Equiripple Linear-Phase IIR Filters Design." International Journal of Electronics and Telecommunications 56, no. 4 (November 1, 2010): 393–98. http://dx.doi.org/10.2478/v10177-010-0052-x.

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A Procedure for Quasi-Equiripple Linear-Phase IIR Filters DesignThe linear-phase IIR filters are described in many cases, mainly due to distortion-free transmission of signals. One of the major problems of IIR filter design is stability, which can be obtained with suitable value of group delay τ. This paper concerns calculation of filter orderNand group delay τ in case of quasi-equiripple design of IIR filters. We propose a novel procedure for determiningNand τ values; the procedure is valid for all types of filters with arbitrary number of zeros and a few non-zero poles. Evaluation of the proposed approach as well as examples illustrating its application are provided in the paper.

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4

Pan, Shing-Tai. "CSD-Coded Genetic Algorithm on Robustly Stable Multiplierless IIR Filter Design." Mathematical Problems in Engineering 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/560650.

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A Canonic-Signed-Digit-(CSD-) coded genetic algorithm (GA) is proposed to find the optimal design of robustly stable infinite impulse response digital filter (IIR). Under the characteristics of the CSD structure, the circuit of the filter can be simplified and also the calculation speed can be raised to increase the hardware’s efficiency. However, the design of CSD has a big challenge: the CSD structure of the system parameters will be destroyed by an optimal design procedure. To solve this problem, in this research a CSD-coded GA is proposed so that the CSD structure can be maintained. Moreover, the robustly stable IIR filters design problem is included in this paper. The robustness of the IIR filters is achieved by ensuring that all poles of the filters are located inside a diskD(α,r)contained in the unit circle, in whichαis the center,ris the radius of the disk, and|α|+r<1. Consequently, in this paper, a new and more efficientD(α,r)-stability criterion will be derived and then embedded in GA for the design of robust IIR filters. It is worthwhile to note that to design an IIR filter simultaneously with CSD-structured parameters and robust stability is difficult and is not well explored so far. An example will be presented to show the efficiency of the proposed strategy for design of IIR filters.

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5

Li, Qi Rui, Ming Ming Jiang, Bing Luo, Xiao Ping Hu, and Kang Hua Tang. "Design of Fast Second-Order IIR Low-Pass Filter Based on Parameter Optimization." Applied Mechanics and Materials 644-650 (September 2014): 4382–86. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.4382.

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Second-order IIR low-pass filter is widely used in digital signal processing. A fast filter algorithm without multiplication is proposed for it in this paper. A configuration method for the filter coefficient of fast algorithm is put forward, considering the characteristic of second-order IIR low-pass filter coefficient and the filter’s mathematical model. A performance analysis of fast second-order IIR low-pass filter without multiplication is shown in the paper, and the performance of the fast filter is shown by example using MATLAB simulation. What’s more, the algorithm’s rapidity is verified by an implementation of the filter on FPGA, which turns out that fast filtering algorithm takes only 54.7% of common algorithm’s operation time to realize the same filer function.

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6

Mirkovic, Dejan, Miona Andrejevic-Stosovic, Predrag Petkovic, and Vanco Litovski. "Design of IIR digital filters with critical monotonic passband amplitude characteristic: A case study." Facta universitatis - series: Electronics and Energetics 29, no. 2 (2016): 269–83. http://dx.doi.org/10.2298/fuee1602269m.

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A case study is reported related to the design of IIR digital filters exhibiting critical monotonic amplitude characteristic (CMAC) in the pass band. This kind of amplitude characteristic offers several advantages as compared to its non-monotonic counterparts, although it has not been studied thoroughly so far, if at all. After giving a short overview of the way of CMACs generation, arguments will be listed in favor of the IIR version of the digital filter function realization. Next, the IIR implementation of the digital filters will be considered in short. The main part of the paper will be devoted to the design sequence of this kind of filters which will be illustrated on the example of a band-pass filter obtained by a set of transformations from an all-pole low-pass analogue prototype. This will be the first time a CMAC band-pass IIR digital filter is reported.

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7

Hamad, Rasha W. "Design and FPGA implementation of 11th order Efficient IIR Wavelet Filter Banks with Approximate Linear-phase." Academic Journal of Nawroz University 7, no. 4 (December 21, 2018): 207. http://dx.doi.org/10.25007/ajnu.v7n4a291.

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In this paper. Bireciprocal Lattice Wave Digital Filters (BLWDFs) are utilized in an approximate linear-phase in pass-band design of order IIR wavelet filter banks (FBs). These filter banks are efficiently designed by replacement one of branches for (BLWDFs) by only a unit delay. The coefficients of the designed filter are achieved by simulating the IIR response suggested in [1]. The design is first simulated using Matlab programming in order to investigate the resulting wavelet filter properties and to find the suitable wordlength for the BLWDFs coefficients. FPGA implemtation of the proposed IIR wavelet filter bank is also achived for three levels with less complexity and high operating frequency.

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8

Hamad, Rasha W. "Design and FPGA implementation of 11th order Efficient IIR Wavelet Filter Banks with Approximate Linear-phase." Academic Journal of Nawroz University 7, no. 4 (December 21, 2018): 207. http://dx.doi.org/10.25007/ajnu.v7n4a301.

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In this paper. Bireciprocal Lattice Wave Digital Filters (BLWDFs) are utilized in an approximate linear-phase in pass-band design of order IIR wavelet filter banks (FBs). These filter banks are efficiently designed by replacement one of branches for (BLWDFs) by only a unit delay. The coefficients of the designed filter are achieved by simulating the IIR response suggested in [1]. The design is first simulated using Matlab programming in order to investigate the resulting wavelet filter properties and to find the suitable wordlength for the BLWDFs coefficients. FPGA implemtation of the proposed IIR wavelet filter bank is also achived for three levels with less complexity and high operating frequency.

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9

Murdika, Umi, and Yessi Mulyani. "Perancangan Dan Simulasi Filter IIR Menggunakan Graphical User Interface (GUI)." Electrician 11, no. 3 (January 26, 2018): 114–18. http://dx.doi.org/10.23960/elc.v11n3.2060.

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Intisari--- Pada makalah ini telah disajikan metode mensimulasikan filter IIR menggunakan GUI. Metode ini tidak hanya tergantung pada kode matlab, tetapi juga menampilkan control penggunaan yang dibangun berdasarkan GUI, sehingga semua operasi pemfilteran dapat diselesaikan oleh GUI. Makalah ini menggunakan metode Pole-zero placement, Impulse invariant, Matched z-transform , dan Bilinear z-transfor dalam merealisasikan filter IIR dan untuk sebagai contoh untuk merancang filter low-pass, high-pass and band-pass. Dari simulasi menunjukkan bahwa perancangan berdasrkan GUI ini sangatlah nyaman, cepat, dan fleksibelKata kunci--- GUI, IIR, Filter Digital, Simulasi Abstract--- A method to simulate the IIR filter based on GUI(Graphic User Interface) is introduced in this paper. This method not only depended on Matlab code, but also made use of controls which generate a GUI, All the operations have been done by GUI. This paper took Pole-zero placement, Impulse invariant, Matched z-transform method to realize IIR filter for example to design digital low-pass, high-pass and band-pass filters. The simulation results showthat the design based on GUI is convenient, fast, and flexible.Keywords--- GUI, IIR, Digital Filter, Simulation

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10

Melzer, Alexander, Andreas Pedross, and Manfred Mücke. "Holistic Biquadratic IIR Filter Design for Communication Systems Using Differential Evolution." Journal of Electrical and Computer Engineering 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/741251.

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Digital IIR filter implementations are important building blocks of most communication systems. The chosen number format (fixed-point, floating-point; precision) has a major impact on achievable performance and implementation cost. Typically, filter design for communication systems is based on filter specifications in the frequency domain. We consider IIR filter design as an integral part of communication system optimisation with implicit filter specification in thetime domain(via symbol/bit error rate). We present a holistic design flow with the system's bit error rate as the main objective. We consider a discrete search space spanned by the quantised filter coefficients.Differential Evolutionis used for efficient sampling of this huge finite design space. We present communication system performance (based on bit-true simulations) and both measured and estimated receiver IIR chip areas. The results show that very small number formats are acceptable for complex filters and that the choice between fixed-point and floating-point number formats is nontrivial if precision is a free parameter.

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11

Matei, Radu. "Design of Adjustable Square-Shaped 2D IIR Filters." ISRN Signal Processing 2013 (September 11, 2013): 1–10. http://dx.doi.org/10.1155/2013/796830.

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This paper proposes an analytical design method for two-dimensional square-shaped IIR filters. The designed 2D filters are adjustable since their bandwidth and orientation are specified by parameters appearing explicitly in the filter matrices. The design relies on a zero-phase low-pass 1D prototype filter. To this filter a frequency transformation is next applied, which yields a 2D filter with the desired square shape in the frequency plane. The proposed method combines the analytical approach with numerical approximations. Since the prototype transfer function is factorized into partial functions, the 2D filter also will be described by a factorized transfer function, which is an advantage in implementation.

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12

Zhang, Hui, Kun Yang, Si Ming He, and Jun Li. "Design of IIR Digital Filter Based on FPGA." Applied Mechanics and Materials 427-429 (September 2013): 1968–71. http://dx.doi.org/10.4028/www.scientific.net/amm.427-429.1968.

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From the request of practical applications,according to the basic theory of IIR filters, a scheme of hardware implementation is worked out combining with the fact that coefficients of numerator and denominator of transfer function are fixed and the structural feature of selected FPGA. From the clew of implementing stratified ,modularized and parameterized design ,the thesis describes the hardware implementation of the IIR filter with VHDL and schematic diagram design method.

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13

Su, Te-Jen, Tsang-Chi Yang, Wen-Pin Tsai, and Jia-Wei Liu. "Design Two-Dimensional IIR Filters Based on Clonal Selection Algorithm with Singular Value Decomposition." Research Letters in Signal Processing 2007 (2007): 1–5. http://dx.doi.org/10.1155/2007/32081.

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In this letter, clonal selection algorithm (CSA) with singular value decomposition (SVD) method is investigated for the realization of two-dimentional (2D) infinite-impulse response (IIR) filters with arbitrary magnitude responses. The CSA is applied to optimize the sampled frequencies of transition band of digital filters, then producing a planar response matrix of a 2D IIR digital filter. By using the SVD, 2D magnitude specifications can be decomposed into a pair of 1D filters, and thus the problem of designing a 2D digital filter can be reduced to the one of designing a pair of 1D digital filters or even only one 1D digital filter. The stimulation results show the proposed method has the better performance of the minimum attenuation between the passband and stopband.

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14

Wang, Chun Mei, and Wei Cai Xiao. "Second-Order IIR Notch Filter Design and Implementation of Digital Signal Processing System." Applied Mechanics and Materials 347-350 (August 2013): 729–32. http://dx.doi.org/10.4028/www.scientific.net/amm.347-350.729.

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In this paper the AC power 50Hz power interference, we use IIR digital notch filter method for industrial frequency interference filter. From the design of IIR digital filter method proceed with, on the IIR digital notch filter simulation, the algorithm deduced, on the fixed-point DSP programming method and overflow handling problems made elaborate incisively, and in digital audio signal processing system has been applied.

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15

Zhuang, Yongjie, and Yangfan Liu. "A Stable IIR Filter Design Approach for High-Order Active Noise Control Applications." Acoustics 5, no. 3 (July 25, 2023): 746–58. http://dx.doi.org/10.3390/acoustics5030044.

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In commercial non-adaptive active noise control (ANC) applications, an IIR filter structure is often used to reduce real-time computations. On the contrary, an FIR filter structure is usually preferred in the filter design phase because the FIR filter design formulation can be convex and is simple to solve. To combine the benefits of both FIR and IIR filter structures, one common approach in ANC applications is to use an IIR filter structure to fit a pre-designed FIR filter. However, to ensure stability, most of the common IIR filter fitting approaches involve the computation and relocation of poles which can be difficult for high-order cases. In this current work, a stable IIR filter design approach that does not need the computation and relocation of poles is improved to be applicable in ANC applications. The results demonstrate that the proposed method can achieve better fitting accuracy and steady-state noise control performance in high-order non-adaptive applications when the pre-designed noise control FIR filter is fitted. Besides fitting the noise control filter, the proposed method can also be used to fit the secondary path and acoustic feedback path to reduce the required real-time computations if adaptive controllers are applied.

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Sidhu, D. S., J. S. Dhillon, and Dalvir Kaur. "Design of Digital IIR Filter with Conflicting Objectives Using Hybrid Gravitational Search Algorithm." Mathematical Problems in Engineering 2015 (2015): 1–16. http://dx.doi.org/10.1155/2015/282809.

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In the recent years, the digital IIR filter design as a single objective optimization problem using evolutionary algorithms has gained much attention. In this paper, the digital IIR filter design is treated as a multiobjective problem by minimizing the magnitude response error, linear phase response error and optimal order simultaneously along with meeting the stability criterion. Hybrid gravitational search algorithm (HGSA) has been applied to design the digital IIR filter. GSA technique is hybridized with binary successive approximation (BSA) based evolutionary search method for exploring the search space locally. The relative performance of GSA and hybrid GSA has been evaluated by applying these techniques to standard mathematical test functions. The above proposed hybrid search techniques have been applied effectively to solve the multiparameter and multiobjective optimization problem of low-pass (LP), high-pass (HP), band-pass (BP), and band-stop (BS) digital IIR filter design. The obtained results reveal that the proposed technique performs better than other algorithms applied by other researchers for the design of digital IIR filter with conflicting objectives.

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17

Bui, H. H. "The Application of LQG Balanced Truncation Algorithm to the Digital Filter Design Problem." Engineering, Technology & Applied Science Research 12, no. 6 (December 15, 2022): 9458–63. http://dx.doi.org/10.48084/etasr.5235.

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This paper presents a method for using a model reduction algorithm to design low-order digital filters. Designing an IIR digital filter that meets the specifications often leads to a high-order digital filter. To reduce the computation time and increase the response rate of the filter, we need to reduce the order of the high-order digital filter. Applying the LQG balanced truncation algorithm to reduce the demand for high-order digital filters shows that low-order filters can completely replace high-order digital filters. The simulation results show that the use of the LQG balanced truncation algorithm in order to reduce the filter order is correct and efficient.

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18

Gupta, Aashu, Dr Vijay Lamba, and Er Munish Verma. "Design of IIR Filter using Remez Algorithm." INTERNATIONAL JOURNAL OF COMPUTERS & TECHNOLOGY 3, no. 1 (August 1, 2012): 117–20. http://dx.doi.org/10.24297/ijct.v3i1b.2751.

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In this paper, we present a numerical method for the equiripple approximation of Impulse Infinite Response digital filters. The proposed method is based on the formulation of a generalized eigenvalue problem by using Rational Remez Exchange algorithm. In this paper, conventional Remez algorithm is modified to get the ratio of weights in the different bands exactly. In Rational Remez, squared magnitude response of the IIR filter is approximated in the Chebyshev sense by solving for an eigenvalue problem, in which real maximum eigenvalue is chosen and corresponding to that eigenvectors are found, and from that optimal filter coefficients are obtained through few iterations with controlling the ratio of ripples.Â The design algorithm is computationally efficient because it not only retains the speed inherent in the Remez exchange algorithm but also simplifies the interpolation step.

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19

Nilsson, Peter. "Architectures and Arithmetic for Low Static Power Consumption in Nanoscale CMOS." VLSI Design 2009 (January 17, 2009): 1–10. http://dx.doi.org/10.1155/2009/749272.

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This paper focuses on leakage reduction at architecture and arithmetic level. A methodology for considerable reduction of the static power consumption is shown. Simulations are done in a typical 130 nm CMOS technology. Based on the simulation results, the static power consumption is estimated and compared for different filter architectures. Substantial power reductions are shown in both FIR-filters and IIR-filters. Three different types of architectures, namely, bit-parallel, digit-serial, and bit-serial structures are used to demonstrate the methodology. The paper also shows that the relative power ratio is strongly dependent on the used word length; that is, the gain in power ratio is larger for longer word lengths. A static power ratio at 0.48 is shown for the bit-serial FIR-filter and a power ratio at 0.11 is shown in the arithmetic part of the FIR-filter. The static power ratio in the IIR-filter is 0.36 in the bit-serial filter and 0.06 in the arithmetic part of the filter. It is also shown that the use of storage, such as registers, relatively the arithmetic part, affects the power ratio. The relatively lower power consumption in the IIR-filter compared to the FIR-filter is due to the lower use of registers.

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20

Islamiyah, Murni Sri Rahayu, Rachmad Saptono, and Hadiwiyatno Hadiwiyatno. "Implementasi Metode Transformasi Biliniear Pada Filter Digital Infinite Impulse Response (IIR) Menggunakan Raspberry Pi." Jurnal Jartel: Jurnal Jaringan Telekomunikasi 11, no. 1 (March 31, 2021): 37–43. http://dx.doi.org/10.33795/jartel.v11i1.28.

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Proses pengiriman informasi selalu terdapat gangguan atau noise, sifat noise tidak dapat dihilangkan namun dapat diminimalisir. Dalam penelitian ini penulis menggunakan Filter Digital IIR dikarenakan filter IIR memiliki impulse berdurasi tak hingga sehingga dapat dicocokkan dengan filter analog yang juga memiliki respon impuls durasi tak hingga.Pada penelitian ini akan dirancang Filter Digital IIR menggunakan metode transformasi bilinier dengan respon filter butterworth, chebyshev tipe 1 dan chebyshev tipe 2 pada MATLAB. MATLAB code digunakan untuk membuat program design filter sesuai dengan spesifikasi yang telah dibuat. MATLAB Simulink digunakan untuk membuat design block filter untuk di implementasikan pada Raspberry Pi. Raspberry pi digunakan sebagai perangkat untuk memproses filter tersebut. Hasil dari running MATLAB code dan juga Simulink dibandingkan untuk melihat apakah hasil implementasi sama dengan hasil program.Dari hasil pengujian dapat diketahui hasil respon frekuensi pada berbagai jenis filter yang digunakan pada pengujian sesuai dengan karakteristik masing-masing filter. Jenis filter yang baik digunakan pada filter digital IIR adalah filter Butterworth dan filter Chebyshev 2 karena pada passband tidak terdapat ripple. Jenis filter yang tidak baik digunakan pada filter digita IIR adalah filter Chebyshev 1. Pengaruh perubahan ripple terhadap nilai orde yaitu semakin kecil nilai ripple semakin besar nilai orde yang dihasilkan. Pengaruh perubahan attenuasi stopband yaitu semakin attenuasi stopband semakin kecil orde yang dihasilkan.

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21

Basiri M, Mohamed Asan, and Noor Mahammad Sk. "Configurable Folded IIR Filter Design." IEEE Transactions on Circuits and Systems II: Express Briefs 62, no. 12 (December 2015): 1144–48. http://dx.doi.org/10.1109/tcsii.2015.2468917.

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22

SHARMA, SANJAY, R. C. CHAUHAN, and SANJAY ATTRI. "A TUNABLE HETERODYNE FILTER DESIGN ON RECONFIGURABLE FABRIC." Journal of Circuits, Systems and Computers 13, no. 05 (October 2004): 981–98. http://dx.doi.org/10.1142/s0218126604001805.

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This paper presents the design of tunable heterodyne filter that can be used very effectively in the elimination of narrowband interference in wide-band communications. The filter makes use of the heterodyne process to create a tunable notch filter from a fixed coefficient high-pass filter. It has been shown that it is possible to generate a signal that can be used to set the heterodyne frequency to match the tunable heterodyne notch filter to the center of the detected interference through the use of a simple second order IIR band-pass filter to detect the narrowband interference. Moreover various options have been illustrated for the implementation of heterodyne filters using Xilinx Virtex field programable gate arrays (FPGAs).

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23

Ren, Xue Hai, and Fang Qi Yu. "A Novel Octave Filter Bank Design Method Based upon Cascaded Filters." Advanced Materials Research 834-836 (October 2013): 1122–27. http://dx.doi.org/10.4028/www.scientific.net/amr.834-836.1122.

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A novel octave or fractional octave filter design method is presented here. In this method, a cascaded IIR filter is applied to overcome the Finite Word-Length Effect. Compared with the traditional octave filter bank, this method does not require 1/2 extraction or a corresponding anti-aliasing filter. The filter frequency response is improved. Filter attenuation values conform to the standard IEC1260-1995 defined class 0 filters. Simulation and experimental studies shows that the filter bank obtains a more accurate result than does the traditional method, especially in the low-frequency part. The 1/3 octave filter bank can analyze speech signals effectively.

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Pushpalatha, P., and K. Babulu. "Design and implementation of systolic architecture based FIR filter." i-manager's Journal on Digital Signal Processing 10, no. 1 (2022): 17. http://dx.doi.org/10.26634/jdp.10.1.18852.

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In signal processing, a filter is a device or process that removes some unwanted components or features from a signal. Digital filters are mainly divided into Infinite Impulse Response (IIR) filters and Finite Impulse Response (FIR) filters. FIR filters are mostly used in applications like image processing, communications, Digital Signal Processing (DSP) etc. One of the most used filters for designing of VLSI circuits is FIR filter. Systolic architecture is a Processing Element (PE) network that generates and passes data rhythmically through the system. The concept of systolic architecture can map high-level computing into hardware structures. FIR filter with systolic architectures provide better examples for efficient VLSI and FPGA implementations of many digital signal processing applications because of their modularity and regularity features.

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Horváth, Dušan, Zuzana Červeňanská, and Janette Kotianová. "Digital Implementation of Butterworth First–Order Filter Type IIR." Research Papers Faculty of Materials Science and Technology Slovak University of Technology 27, no. 45 (September 1, 2019): 85–93. http://dx.doi.org/10.2478/rput-2019-0030.

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Abstract The paper deals with the solution of the first–order passive filters (low–pass and high–pass) applying electrotechnical elements (resistor, capacitor - analogue filter) and digital Butterworth filter type IIR (Infinite Impulse Response). Procedure of the filters design and implementation is described, and the analogue and digital filter outputs with the same input signal are compared. The designed filters have already served for education purposes with the intention to bring an explanation of techniques for designing required functionality of the signal processing filters.

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Kušljević, Miodrag D., Vladimir V. Vujičić, Josif J. Tomić, and Predrag D. Poljak. "IIR Cascaded-Resonator-Based Complex Filter Banks." Acoustics 5, no. 2 (May 30, 2023): 535–52. http://dx.doi.org/10.3390/acoustics5020032.

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The use of a filter bank of IIR filters for the spectral decomposition and analysis of signals has been popular for many years. As such, a new filter-bank resonator-based structure, representing an extremely hardware-efficient structure, has received a good deal of attention. Recently, multiple-resonator (MR)-based and general cascaded-resonator (CR)-based filters have been proposed. In comparison to single-resonator-based analyzers, analyzers with a higher multiplicity of resonators in the cascade provide lower side lobes and a higher attenuation in stopbands. In previous works, it was shown that the CR-based filter bank with infinite impulse response (IIR) filters, which is numerically more efficient than one with finite impulse response (FIR) filters, is suitable for dynamic harmonic analysis. This paper uses the same approach to design complex digital filter banks. In the previous case, the optimization task referred to the frequency responses of harmonic filters. In this work, the harmonic filters of the mother filter bank are reshaped so that the frequency response of the sum (or difference, depending on the parity of the number of resonators in the cascade) of two adjacent harmonic filters is optimized. This way, an online adaptive filter base can be obtained. The bandwidth of the filters in the designed filter bank can be simply changed online by adding or omitting the output signals of the corresponding harmonics of the mother filter.

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Zheng, Haotian, and Guobing Qian. "Generalized Maximum Complex Correntropy Augmented Adaptive IIR Filtering." Entropy 24, no. 7 (July 21, 2022): 1008. http://dx.doi.org/10.3390/e24071008.

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Augmented IIR filter adaptive algorithms have been considered in many studies, which are suitable for proper and improper complex-valued signals. However, lots of augmented IIR filter adaptive algorithms are developed under the mean square error (MSE) criterion. It is an ideal optimality criterion under Gaussian noises but fails to model the behavior of non-Gaussian noise found in practice. Complex correntropy has shown robustness under non-Gaussian noises in the design of adaptive filters as a similarity measure for the complex random variables. In this paper, we propose a new augmented IIR filter adaptive algorithm based on the generalized maximum complex correntropy criterion (GMCCC-AIIR), which employs the complex generalized Gaussian density function as the kernel function. Stability analysis provides the bound of learning rate. Simulation results verify its superiority.

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28

Kumar, Vinay, and Sunil Bhooshan. "Design of One-Dimensional Linear Phase Digital IIR Filters Using Orthogonal Polynomials." ISRN Signal Processing 2012 (October 16, 2012): 1–7. http://dx.doi.org/10.5402/2012/870276.

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In the present paper, we discuss a method to design a linear phase 1-dimensional Infinite Impulse Response (IIR) filter using orthogonal polynomials. The filter is designed using a set of object functions. These object functions are realized using a set of orthogonal polynomials. The method includes placement of zeros and poles in such a way that the amplitude characteristics are not changed while we change the phase characteristics of the resulting IIR filter.

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Saha, S. K., Rajib Kar, D. Mandal, and S. P. Ghoshal. "Digital Stable IIR Band Pass Filter Design Using Seeker Optimization Technique." Advanced Materials Research 905 (April 2014): 406–10. http://dx.doi.org/10.4028/www.scientific.net/amr.905.406.

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This paper presents a novel, control parameter independent evolutionary search technique known as Seeker Optimization Algorithm (SOA) for the design of a eighth order Infinite Impulse Response (IIR) Band Pass (BP) filter. A new fitness function has also been adopted in this paper to improve the stop band attenuation to a great extent. The performance of the SOA based IIR BP filter design has proven to be much superior as compared to those obtained by real coded genetic algorithm (RGA) and standard particle swarm optimization (PSO) in terms of highest sharpness at cut-off, smallest pass band ripple, highest stop band attenuation, smallest stop band ripple and also the fastest convergence speed with assured stability recognized by the pole-zero analysis of the designed optimized IIR filter.

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Ding, Dan, Peisheng Wang, and Yiming Wang. "An active noise control filter design method based on machine learning algorithms." Journal of the Acoustical Society of America 152, no. 4 (October 2022): A99. http://dx.doi.org/10.1121/10.0015673.

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Filter design is the essential problem in active noise control. In the case of FIR filter design, the whole problem can be formulated as a convex optimization. In practice, limited by computation capability, IIR filters are preferred but more challenging to design. On the one hand, the existence of zeros could cause instablity; on the other hand, the problem can not be formulated as a convex optimization problem. This work introduces a new IIR filter design method, which stablizes the system by modeling the ANC controller as casade parametric biquadratic IIRs and optimizes their cofficients by using machine learning algorithms. A neural network with zero input but learnable bias and network weights is used to generate the filter coefficients; and the loss function consists of a reward term for reducing noise and penalty terms for breaking the constraints. Training the neural network with gradient based machine learning algorithm directly leads to a group of coefficients that achieves good ANC performance and is subject to given constraints. It turned out that no big and deep neurual network is required for this method to perform well and therefore it is computationally efficient. Experiments showed that the proposed method was able to consistently yield good ANC filters for a variety of given acoustical environments.

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Avalos, Omar, Erik Cuevas, Jorge Gálvez, Essam H. Houssein, and Kashif Hussain. "Comparison of Circular Symmetric Low-Pass Digital IIR Filter Design Using Evolutionary Computation Techniques." Mathematics 8, no. 8 (July 26, 2020): 1226. http://dx.doi.org/10.3390/math8081226.

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The design of two-dimensional Infinite Impulse Response (2D-IIR) filters has recently attracted attention in several areas of engineering because of their wide range of applications. Synthesizing a user-defined filter in a 2D-IIR structure can be interpreted as an optimization problem. However, since 2D-IIR filters can easily produce unstable transfer functions, they tend to compose multimodal error surfaces, which are computationally difficult to optimize. On the other hand, Evolutionary Computation (EC) algorithms are well-known global optimization methods with the capacity to explore complex search spaces for a suitable solution. Every EC technique holds distinctive attributes to properly satisfy particular requirements of specific problems. Hence, a particular EC algorithm is not able to solve all problems adequately. To determine the advantages and flaws of EC techniques, their correct evaluation is a critical task in the computational intelligence community. Furthermore, EC algorithms are stochastic processes with random operations. Under such conditions, for obtaining significant conclusions, appropriate statistical methods must be considered. Although several comparisons among EC methods have been reported in the literature, their conclusions are based on a set of synthetic functions, without considering the context of the problem or appropriate statistical treatment. This paper presents a comparative study of various EC techniques currently in use employed for designing 2D-IIR digital filters. The results of several experiments are presented and statistically analyzed.

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Omar, Abdussalam, Dale Shpak, Panajotis Agathoklis, and Belaid Moa. "A Nonlinear Optimization Design Algorithm for Nearly Linear-Phase 2D IIR Digital Filters." Signals 4, no. 3 (August 2, 2023): 575–90. http://dx.doi.org/10.3390/signals4030030.

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In this paper, a new optimization method for the design of nearly linear-phase two-dimensional infinite impulse (2D IIR) digital filters with a separable denominator is proposed. A design framework for 2D IIR digital filters is formulated as a nonlinear constrained optimization problem where the group delay deviation in the passband is minimized under prescribed soft magnitude constraints and hard stability requirements. To achieve this goal, sub-level sets of the group delay deviations are utilized to generate a sequence of filters, from which the one with the best performance is selected. The quality of the obtained filter is evaluated using three quality factors, namely, the passband magnitude quality factor Qh and the group delay deviation quality factor Qτ, while the third one is a new quality factor Qs that assesses the performance in the stopband relative to the minimum filter gain in the passband. The proposed framework is implemented using the interior-point (IP) method in a MATLAB environment, and the experimental results show that filters designed using the proposed method have good magnitude response and low group delay deviation. The performance of the resulting filters is compared with the results of other methods.

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Caroline, Caroline, Nabila Husna Shabrina, Melania Regina Ao, Nadya Laurencya, and Vanessa Lee. "Analisis Aplikasi Filter FIR dan Filter IIR dalam Pra-pemrosesan Sinyal Elektroensefalografi." Ultima Computing : Jurnal Sistem Komputer 12, no. 1 (July 2, 2020): 40–48. http://dx.doi.org/10.31937/sk.v12i1.1621.

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Abstract – Electroencephalography (EEG) is a method used to analyze brain activities, detect abnormalities in brain, and diagnose brain-related disease. To extract information from EEG signal, preprocessing steps such as Fast Fourier Transform (FFT), filter, and wavelet decomposition will be needed. This paper primarily focuses on implementation of Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) filter design in EEG signal preprocessing in MATLAB software. The result of the simulation indicates that each filter design implemented in EEG preprocessing has different performance and side effect toward signal processing parameters such as phase distortion, amplitude ratio, and processing time. Filter design type implementation also affect power and entropy calculation result. Keywords – EEG, FIR filter digital, IIR filter digital, Wavelet Decomposition, GUI-MATLAB

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AVERBUCH, AMIR Z., and VALERY A. ZHELUDEV. "WAVELET TRANSFORMS GENERATED BY SPLINES." International Journal of Wavelets, Multiresolution and Information Processing 05, no. 02 (March 2007): 257–91. http://dx.doi.org/10.1142/s0219691307001756.

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In this paper, we design a new family of biorthogonal wavelet transforms that are based on polynomial and discrete splines. The wavelet transforms are constructed via lifting steps, where the prediction and update filters are derived from various types of interpolatory and quasi-interpolatory splines. The transforms use finite and infinite impulse response (IIR) filters and are implemented in a fast lifting mode. We analyze properties of the generated scaling functions and wavelets. In the case when the prediction filter is derived from a polynomial interpolatory spline of even order, the synthesis scaling function and wavelet are splines of the same order. We formulate conditions for the IIR filter to generate an exponentially decaying scaling function.

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Hoang Duong Tuan, T. T. Son, P. Apkarian, and T. Q. Nguyen. "Low-order IIR filter bank design." IEEE Transactions on Circuits and Systems I: Regular Papers 52, no. 8 (August 2005): 1673–83. http://dx.doi.org/10.1109/tcsi.2005.851673.

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Xi Zhang. "Maxflat Fractional Delay IIR Filter Design." IEEE Transactions on Signal Processing 57, no. 8 (August 2009): 2950–56. http://dx.doi.org/10.1109/tsp.2009.2019231.

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Radonjic, Aleksandar, and Jelena Certic. "Analysis of half-band approximately linear phase IIR filter realization structure in MATLAB." Facta universitatis - series: Electronics and Energetics 28, no. 4 (2015): 611–23. http://dx.doi.org/10.2298/fuee1504611r.

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In this paper a detailed analysis of an atypical filter structure in MATLAB Filter Design and Analysis (FDA) Tool is presented. As an example of atypical filter structure, the IIR half-band filter with approximately linear phase realized as a parallel connection of two all-pass branches was examined. We compare two types of those filters obtained by two different design algorithms. FDA tool was used for the experiment because different effects of the fixed point implementation can be simulated easily. One of the goals of this paper was to compare results obtained by two different design algorithms. In addition, different realizations of the filter structure based on the parallel connection of two all-pass branches were examined.

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Hidayat, Rahmad, Ninik Sri Lestari, Herawati Herawati, Givy Devira Ramady, Sudarmanto Sudarmanto, and Farhan Adani. "An approach of adaptive notch filtering design for electrocardiogram noise cancellation." Indonesian Journal of Electrical Engineering and Computer Science 22, no. 3 (June 1, 2021): 1303. http://dx.doi.org/10.11591/ijeecs.v22.i3.pp1303-1311.

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An electrocardiogram (ECG) is a means of measuring and monitoring important signals from heart activity. One of the major biomedical signal issues such as ECG is the issue of separating the desired signal from noise or interference. Different kinds of digital filters are used to distinguish the signal components from the unwanted frequency range to the ECG signal. To address the question of noise to the ECG signal, in this paper the digital notch filter IIR 47 Hz is designed and simulated to demonstrate the elimination of 47 Hz noise to obtain an accurate ECG signal. The full architecture of the structure and coefficient of the IIR notch filter was carried out using the FDA Tool. Then the model is finished with the help of Simulink and the MATLAB script was to filter out the 47 Hz noise from the signal of ECG. For this purpose, the normalized least mean square (NLMS) algorithm was used. The results indicate that before being filtered and after being filtered it clearly shows the elimination of 47 Hz noise in the signal of the ECG. These results also show the accuracy of the design technique and provide an easy model to filter out noise in the ECG signal.

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Beqal Asmae, El, Kritele Loubna, Benhala Bachir, and Zorkani Izeddine. "Meta-heuristic techniques for optimal design of analog and digital filter." Indonesian Journal of Electrical Engineering and Computer Science 19, no. 2 (August 1, 2020): 669. http://dx.doi.org/10.11591/ijeecs.v19.i2.pp669-679.

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In this paper, two Meta-heuristic techniques; namely Ant Colony Optimization (ACO) and Genetic Algorithm (GA) have been applied for the optimal design of digital and analog filters. Those techniques have been used to solve multimodal optimization problem in Infinite Impulse Response (IIR) filter design and to select the optimal component values from industrial series as well as to minimize the total design error of a 2nd order Sallen-Key active band-pass filter, also a comparison between the performances reached by those two Meta-heuristics was made in this article.

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Wang, Xiu Min, Ting Ting Li, and Liang Shan. "The Design of Adaptive Noise Cancellation Filter Based on DSP Chip." Advanced Materials Research 971-973 (June 2014): 1786–90. http://dx.doi.org/10.4028/www.scientific.net/amr.971-973.1786.

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The speech signal usually could not be extracted correctly from the digital speech communication system with strong interference. As for this kind of system, the common fixed coefficient digital filters (FIR, IIR) are unable to achieve the best effect of filtering. Whereas the adaptive filter could extract the available signals properly by adjusting the filter coefficient automatically without knowing the change characteristics of the noise signal. In this paper, we designed an adaptive noise cancellation filter based on LMS algorithm on the DSP chip and verification of the filter was done on the TMS320C5509 platform. The results show that the adaptive noise cancellation designed in this paper could extract the available signals properly and improve the quality of the speech communication.

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41

Soo-Chang Pei and Chien-Cheng Tseng. "IIR multiple notch filter design based on allpass filter." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 44, no. 2 (1997): 133–36. http://dx.doi.org/10.1109/82.554450.

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42

Win, Ohnmar. "IIR Filter Design for De-Nosing Speech Signal using Matlab." International Journal of Trend in Scientific Research and Development Volume-3, Issue-3 (April 30, 2019): 4–8. http://dx.doi.org/10.31142/ijtsrd21576.

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Zhang, Xi, and Toshinori Yoshikawa. "Design of orthonormal IIR wavelet filter banks using allpass filters." Signal Processing 78, no. 1 (October 1999): 91–100. http://dx.doi.org/10.1016/s0165-1684(99)00049-3.

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Thamrongmas, Amnart, and Chalie Charoenlarpnopparut. "Modified Pole Re-position Technique for Optimal IIR Multiple Notch Filter Design." ECTI Transactions on Electrical Engineering, Electronics, and Communications 9, no. 1 (August 1, 2009): 7–15. http://dx.doi.org/10.37936/ecti-eec.201191.172250.

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This paper presents a novel and useful technique based on pole optimal re-position techniques and Groebner basis theory for solving the gain non-uniformity problem in the frequency band between notch frequencies, normally emerged when cascading several single notch filters to form a multiple notch filter. The previously proposed pole-reposition technique can apply only to the two notch case and does not consider the minimization of the passband gain deviation. The optimality considered in this paper is based on the minimization of resulting filter magnitude response from the ideal notch magnitude response, measured in term of numerical sum of error square. Furthermore, by using GrÄobner basis, the symbolic solution and design method can be generalized to the higher number of notch frequencies case. The design algorithm can be implemented directly on Matlab platform and optimal ¯lter coe±cients can be found via numerical optimization/search. The proposed method can 1) limit the maximum passband gain 2) maximize the passband gain flatness and 3) generalize to the higher order of multi-notch filter. The searching space of the possible filters are maximized by increasing the number of free-variables, namely the gains at critical frequencies. In addition, the proposed technique allows the inclusion of stability margin of the IIR (in¯nite impulse response) notch filter as one of optimization objectives, resulting in a robustly stable filter.

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Damjanovic, Sanja, and Ljiljana Milic. "A family of IIR two-band orthonormal QMF filter banks." Serbian Journal of Electrical Engineering 1, no. 3 (2004): 45–56. http://dx.doi.org/10.2298/sjee0403045d.

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The design and characteristics of orthonormal two-band QMF filter banks, with perfect reconstruction and linear phase properties, are considered in this paper. The analysis and synthesis filter banks are implemented using all pass filters. Filters in the synthesis bank are ant causal and unstable filters and the block processing technique and an appropriate causal filter are applied for their real time application. The generated filter banks characteristics and the finite block length influence of the block processing technique applied for ant causal filtering are illustrated for a rectangular input signal case. The corresponding wavelet and scaling functions, generated after five iterations of the analysis bank in a low pass branch, are shown.

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Harigae, Yuta, and Kenji Suyama. "Hybrid Search Strategy for IIR Filter Design." IEEJ Transactions on Electronics, Information and Systems 141, no. 3 (March 1, 2021): 426–35. http://dx.doi.org/10.1541/ieejeiss.141.426.

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Soo-Chang Pei and Chien-Cheng Tseng. "Two dimensional IIR digital notch filter design." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 41, no. 3 (March 1994): 227–31. http://dx.doi.org/10.1109/82.279208.

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Harigae, Yuta, and Kenji Suyama. "IIR Filter Design Using Cat Swarm Optimization." IEEJ Transactions on Electronics, Information and Systems 140, no. 5 (May 1, 2020): 547–48. http://dx.doi.org/10.1541/ieejeiss.140.547.

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Jaw, S. B., and S. C. Pei. "Two-band IIR quadrature mirror filter design." Electronics Letters 26, no. 20 (1990): 1687. http://dx.doi.org/10.1049/el:19901079.

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Wang, Jun, Peng Shi, and Hong Peng. "Membrane computing model for IIR filter design." Information Sciences 329 (February 2016): 164–76. http://dx.doi.org/10.1016/j.ins.2015.09.011.

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