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1
Krukowski, Artur. "Flexible IIR digital filter design and multipath realisation." Thesis, University of Westminster, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.322993.
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Sundaralingam, Sathiaseelan. "Evolving optimal IIR and adaptive filters." Thesis, University of Glasgow, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300977.
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Yin, Shishu, and 殷仕淑. "New design and factorization methods for perfect reconstruction causalstable IIR filter banks." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2006. http://hub.hku.hk/bib/B38674592.
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Yin, Shishu. "New design and factorization methods for perfect reconstruction causal stable IIR filter banks." Click to view the E-thesis via HKUTO, 2006. http://sunzi.lib.hku.hk/hkuto/record/B38674592.
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Yoo, CheolWoo 1962. "Minimax IFIR filter design using subband decomposition." Thesis, The University of Arizona, 1991. http://hdl.handle.net/10150/558157.
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Sun, Yi-Ran. "Generalized Bandpass Sampling Receivers for Software Defined Radio." Doctoral thesis, Stockholm, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4009.
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Nicolson, Laurence John. "The design of IIR digital filters to magnitude and delay specifications." Thesis, University of Liverpool, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.320608.
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Dai, L. Barbara. "Design and realization methods for IIR multiple notch filters and high-speed narrow-band and wide-band filters." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0015/MQ56117.pdf.
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Arumemi-Ikhide, Martin Ikpehai Idemudia. "Empirical design of an evolutionary algorithm for optimisation of 1-D digital IIR filters." Thesis, University of Warwick, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444848.
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Niu, I.-Ching, and 牛挹青. "Optimal Design of 1-D IIR Filter Banks and 2-D IIR Filters." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/83124583717594043411.
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碩士國立臺灣大學
電信工程學研究所
87
Owing to the increasing use of digital signal processing, the design of digital filters and digital filter banks has become more and more important.In this thesis, it should be noted that a systematic algorithm is proposed as the basis to design the IIR filters and filter banks. However, this basic algorithm, in the various designing structure, is sometimes aided by WLS and Karmarkar''s algorithms to achieve a good design in certain optimal senses. To control the stability of the IIR filter, we replace the denominator of filter with lattice structure. That is, the reflection coefficients have been considered as the coefficients in the design. We therefore can directly control the stability of the filters by controlling the magnitude of these coefficients. The structure has been used in this thesis to design 1-D filter banks and 2-D filters. The satisfactory results as shown in the design examples given in this thesis have therefore successfully proven that the proposed design methods to be sound and viable.
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Sha, Chun-Shen, and 謝忠賢. "Design of IIR Filter via Genetic Algorithm." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/95820337348167246766.
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碩士國立清華大學
電機工程研究所
82
A new method is proposed for IIR digital filter design with desired magnitude and phase response simultaneously. L-1 norm, L-2 norm, L-infinity norm criterion are all considered for the optimal IIR filter approximation. The techniques of genetic algorithm is employed to directly solve these optimization design problem at the same time. Genetic algorithms are optimization and machine learning algorithms, initially inspired from the process of natural selection and evolutionary genetics. Several design examples are given to illustrate the design procedure and the performance of the proposed design method.
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Cheng, Tsai Hsu, and 鄭才旭. "Minimax design of IIR digital filters and filter banks with discrete coefficients." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/39101302198631182122.
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碩士國立臺灣大學
電信工程學研究所
94
Owing to the increasing use of digital signal processing, the design of digital filters and filter banks plays an important role in this filed .In this thesis we present genetic algorithm and WLS algorithm with CORDIC algorithm for QMF banks and non-uniform division filter banks based on 1-D IIR all-pass filters with discrete coefficients . The resulting two-channel QMF banks and non-uniform division filter banks can possess approximately linear phase response without magnitude distortion. The effectiveness of the proposed techniques is achieved by forming an appropriate Chebyshev approximation of a desired phase response . In each chapter，we design some examples and the simulation examples are demonstrated and satisfy，
13
Yang, Kai-Shiang, and 楊凱翔. "Optimal IIR Filter Design in ECG Filtering Implementations." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/54719486531831154507.
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碩士亞洲大學
光電與通訊學系碩士班
100
ECG is an important front-end signal in healthcare applications. However, ECG equipment used in magnetic resonance imaging (MRI) or implemented by miniature mechanisms is susceptible to noise. In this paper, we use the mode of fixed-point arithmetic Infinite Impulse Response (IIR) filters to reduce ECG noise. We utilize the properties of less computational consumptions of IIR filters, and use the microprocessor with lower register length to achieve the cost-effective purposes. We propose an optimal transformation matrix that can transfer any initial filter parameters to obtain the optimal realization by using developed closed-form solutions. Finally, computer simulations are performed to illustrate the effectiveness of the proposed approach.
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ANKITA. "IIR FILTER DESIGN USING MULTI OBJECTIVE PARTICLE SWARM OPTIMIZATION." Thesis, 2016. http://dspace.dtu.ac.in:8080/jspui/handle/repository/14487.
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IIR filter design is considered very important and difficult task in digital signal processing. One of the disadvantages of IIR filters is their non linear phase characteristics. Evolutionary algorithms are introduced in recent past into IIR filter design methods. IIR filter design requires concurrent minimization of order of filter, magnitude response error and linear phase response error. The proposed method designs an IIR filter with minimum order, linear phase and minimum magnitude response error. The algorithm finds the coefficients of the transfer function of desired filter. The filter is designed using Pareto based multi-objective optimization approach minimizing three objective functions simultaneously. In this thesis Multi Objective problem is solved using Pareto based Multi Objective Particle Swarm Optimization (MOPSO). Pareto based algorithms produces a set of non-dominated solutions called Pareto optimal set in one run of algorithm. It is left to the decision maker to select one solution from Pareto optimal set based on application of the filter. In literature, only Genetic based algorithms have been used in IIR filter design. PSO results in a better convergence rate. Results of proposed approach are compared with conventional approaches. Different filter types namely Low pass, High pass, Band pass and Band stop are designed. Performance of the approach depend upon some factors like number of iterations, size of repository, population size and other parameters of swarm. Experimental results show that proposed approach result in better magnitude response and have more linear phase than other approaches.
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Lin, Yu-Wei, and 林煜偉. "Design of Variable FIR Filters and IIR All-Pass Filters and Filter Banks with Discrete Coefficients." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/20542395782371250093.
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碩士國立臺灣大學
電信工程學研究所
92
In this thesis, we consider three kinds of digital filters with filter coefficients taking on -1, 0, +1 only. One is variable fractional delay FIR filter and the others are IIR allpass filter and filter banks. We design these two kinds of digital filters with continuous coefficients using WLS algorithm and Karmarkar algorithm, in minmax criteria methods are proposed.. When we implement a filter of conventional structure, we always need multibit multipliers. But the circuit complexity and high cost of multibit multipliers always confuse us. Thus, we adopt a new filter structure [25] whose main part consists of a transversal filter with tap coefficients restricted to -1, 0, +1 only and cascaded with an appropriate recursive network with some specific resetting function. Therefore, it is not necessary for transversal filter to use multipliers; the adopted configuration is suitable for hardware implementation. We apply the new structure to the design of the digital filter we discuss above. In this thesis, we design variable delay FIR filter, IIR allpass filter, and IIR filter banks. The design examples are demonstrated to illustrate the effectiveness of the new structure.
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Wu, Mau-Lin, and 吳茂霖. "FIR and IIR Digital Filter Design by Remez Exchange Algorithm." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/62216325405190209169.
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碩士國立臺灣大學
電機工程研究所
84
There are many algorithms for designing digital FIR and IIR filters. Among them, Remez exchange algorithm and the second Remez exchange algorithm are the most efficient methods for designing optimal digital filters. The characteristics of this algorithm are fast convergent speed, low computation complexity and with fast computation algorithm. Remez exchange algorithm has been famous for its application to design of optimal linear- phase FIR filter and we extend its application to designs of log FIR and log IIR filters, IIR filter and Complex FIR filter. The difficulty encountered in the algorithm is that the approximation equations are nonlinear equations but not traditional linear ones. It requires some linearization technique for solving the filter's coefficients in the approximation equations. We solve this problem by taking the Taylor's expansion in this paper. Some examples are proposed to prove that this method is very efficient. There had been many methods applied to design FIR and IIR filters similar to this paper. Several examples are illustrated for comparisons with other algorithms and it is recognized that the proposed algorithm in this paper is better than others.
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Yang, Yuan-Hau, and 楊元豪. "Optimal Design of IIR All-Pass Filters and Filter Banks Based on L-infinite Criterion." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/39424859461508032538.
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碩士國立臺灣大學
電信工程學研究所
91
Owing to the increasing use of digital signal processing, the design of digital filters and filter banks plays an important role in this field. The work of this thesis is to devise novel and efficient techniques for optimally designing digital filters and QMF banks based on IIR all-pass filters. With the aid of WLS and Karmarkar’s algorithms, several minimax design methods are proposed. The resulting two-channel QMF banks can possess approximately linear phase response without magnitude distortion. The effectiveness of the proposed techniques is achieved by forming an appropriate Chebyshev approximation of a desired phase response and then to find its solution from a linear subspace in a few iterations. From the simulation examples demonstrated in each chapter of this thesis, the satisfactory and efficient design results can be confirmed.
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Yang, Chin Kai, and 楊智凱. "Design of the Architecture for Real Time Reconfigurable Digital IIR Filter." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/47299398120415975280.
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碩士元智大學
電機工程學系
91
The Architecture for Real time Reconfigurable Digital IIR Filter is proposed in thesis. It used SRAM (Static Random Access Memory) technology of FPGA (Field Programmable Gate Arrays) to achieve a Reconfigurable function and to build up a Co-processor system to deal with large amount of information. Reconfigurable FPGA technology provided the capability to dynamically alter a computer’s hardware resource to optimally service the immediate computational needs. In addition, the Co-processor will achieve higher performance, due to hardware’s faster capability . As to Co-processor of system, digital IIR (Infinite Impulse Response) filter was chosen. The main reasons for digital IIR filter being used because it needs lesser hardware and it deals with high in frequency signals.
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CHEN, JIN-MING, and 陳晉明. "IIR filter design based on finite state machine with LNS method." Thesis, 1987. http://ndltd.ncl.edu.tw/handle/70156966114878314942.
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Kumar, Vinay. "POLYNOMIAL BASED RECURSIVE AND NON RECURSIVE FILTER DESIGN." Phd thesis, 2009. http://tel.archives-ouvertes.fr/tel-00371385.
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In this dissertation, several algorithms to design linear phase Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) filters have been discussed.Contrary to various already existing standard algorithms,the proposed methods approximate magnitude and phase characteristics simultaneously. The basic mechanism used in this study is polynomial based design of digital filters. We have used several already existing polynomials; e.g., Chebyshev polynomials, Legendre polynomials, to develop linear phase digital filters and developed some two dimensional polynomials following orthogonal properties to design digital filters for image processing, their design methodology have also been discussed.
Filters of proposed type can be used for applications where exact linear phase is required. Another application of this type of filters is the design of filters with zero group delay. IIR filters are designed with absolute linear phase and zero group delay.
The algorithms proposed in the present thesis allow user to design filters with his set of constraints, which is required in practical filter design problems. Very narrow band 1D and 2D linear phase FIR filters can easily be designed by the proposed methodology. The IIR filters proposed provide the guarantee to result in a stable filter.
All the algorithms have been discussed stepwise to make sure that any one with basic programming capability can easily design them. We have not used any standard routine of any particular platform, therefore any freely available programming platform (like C, C++, Scilab, Octave, etc.) can be used to design these filters.
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Hsieh, Chi-Chuan, and 謝吉泉. "Optimal Design of Digital IIR Filter by Using Real-Coded Genetic Algorithms." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/26259976245514419477.
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碩士樹德科技大學
電腦與通訊研究所
97
This thesis applies an optimal algorithm called real-coded genetic algorithm (RGA) to the design of digital infinite impulse response (IIR) filter. The RGA used is quite different from the traditional binary-coded algorithm (BGA) because the optimized variables are directly in the form of real numbers. It is more convenient and efficient in solving the physical engineering optimization problem. To evaluate the performance of each chromosome, the mean squared error (MSE) is taken as the system’s error function. Moreover, for dealing with more complicated problem, a weighted function is incorporated into the error function in order to improve the design performance. On the other hand, the stability problem for IIR digital filter design needs to further be considered due to its structure in nature. In this study, a robust stable rule is employed to check every evolved chromosome such that the resulting IIR digital filter is always stable. In the simulations, we consider three different kinds of filter designs, including magnitude response design of low-pass and band-pass filters, and phase response design of all-pass filter, respectively. All simulation results reveal that the proposed RGA with a robust stable rule can successfully obtain the IIR digital filters that are required and all poles of the designed IIR filters are located inside the unit circle.
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Chen, Hung-Chi, and 陳鴻基. "Optimal Design of FIR and IIR Digital Filter Banks with Signed Power of Two coefficients." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/12520157087976390843.
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碩士國立臺灣大學
電機工程學研究所
95
Quadrature Mirror Filter banks is widely used in multirate system. It can divid input signal into several subband signals. Owing to human sense, like sense of hearing , sense of sight, is not uniformly distributed in frequency, Non-uniform Division Filter banks is even more important than QMF in some aspects. In this thesis, we focus on both structure of filter banks. CORDIC algorithm is an approach to perform angle quantization. It can quantize coefficients in angle space which is denser than coefficient space. Besides, coefficients quantized by CORDIC algorithm can be represented in signed power of two form. In addition, the algorithm can be realized high speed and low complexity VLSI circuits, without using multiplier, need only shifter, multiplexer and adder. For these reasons, we propose CORDIC algorithm for optimal design. We also combine WLS algorithm and CORDIC algorithm or use genetic algorithm based on CORDIC algorithm. The results designed by these kinds of algorithm approximate to the results designed by continuous coefficient algorithm. Some design parameters are even better than later. We prove these algorithm which is worthy for further application.
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Guindon, David Leo. "Design of nearly linear-phase recursive digital filters by constrained optimization." Thesis, 2007. http://hdl.handle.net/1828/296.
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The design of nearly linear-phase recursive digital filters using constrained optimization is investigated. The design technique proposed is expected to be useful in applications where both magnitude and phase response specifications need to be satisfied. The overall constrained optimization method is formulated as a quadratic programming problem based on Newton’s method. The objective function, its gradient vector and Hessian matrix as well as a set of linear constraints are derived. In this analysis, the independent variables are assumed to be the transfer function coefficients. The filter stability issue and convergence efficiency, as well as a ‘real axis attraction’ problem are solved by integrating the corresponding bounds into the linear constraints of the optimization method. Also, two initialization techniques for providing efficient starting points for the optimization are investigated and the relation between the zero and pole positions and the group delay are examined. Based on these ideas, a new objective function is formulated in terms of the zeros and poles of the transfer function expressed in polar form and integrated into the optimization process. The coefficient-based and polar-based objective functions are tested and compared and it is shown that designs using the polar-based objective function produce improved results. Finally, several other modern methods for the design of nearly linear-phase recursive filters are compared with the proposed method. These include an elliptic design combined with an optimal equalization technique that uses a prescribed group delay, an optimal design method with robust stability using conic-quadratic-programming updates, and an unconstrained optimization technique that uses parameterization to guarantee filter stability. It was found that the proposed method generates similar or improved results in all comparative examples suggesting that the new method is an attractive alternative for linear-phase recursive filters of orders up to about 30.
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Ahmad, Sabbir U. "Design of digital filters using genetic algorithms." Thesis, 2008. http://hdl.handle.net/1828/1294.
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In recent years, genetic algorithms (GAs) began to be used in many disciplines such as pattern recognition, robotics, biology, and medicine to name just a few. GAs are based on Darwin's principle of natural selection which happens to be a slow process and, as a result, these algorithms tend to require a large amount of computation. However, they offer certain advantages as well over classical gradient-based optimization algorithms such as steepest-descent and Newton-type algorithms. For example, having located local suboptimal solutions they can discard them in favor of more promising local solutions and, therefore, they are more likely to obtain better solutions in multimodal problems. By contrast, classical optimization algorithms though very efficient, they are not equipped to discard inferior local solutions in favour of more optimal ones.
This dissertation is concerned with the design of several types of digital filters by using GAs as detailed bellow.
In Chap. 2, two approaches for the design of fractional delay (FD) filters based on a GA are developed. The approaches exploit the advantages of a global search technique to determine the coefficients of FD FIR and allpass-IIR filters based on the so-called Farrow structure. The GA approach was compared with a least-squares approach and was found to lead to improvements in the amplitude response and/or delay characteristic.
In Chap. 3, a GA-based approach is developed for the design of delay equalizers. In this approach, the equalizer coefficients are optimized using an objective function based on the passband filter-equalizer group delay. The required equalizer is built by adding new second-order sections until the desired accuracy in terms of the flatness of the group delay with respect to the passband is achieved. With this approach stable delay equalizers satisfying arbitrary prescribed specifications with the desired degree of group-delay flatness can easily be obtained.
In Chap. 4, a GA-based approach for the design of multiplierless FIR filters is developed. A recently-introduced GA, called orthogonal GA (OGA) based on the so-called experimental design technique, is exploited to obtain fixed-point implementations of linear-phase FIR filters. In this approach, the effects of finite word length are minimized by considering the filter as a cascade of two sections. The OGA leads to an improved amplitude response relative to that of an equivalent direct-form cascade filter obtained using the Remez exchange algorithm.
In Chap. 5, a multiobjective GA for the design of asymmetric FIR filters is proposed. This GA uses a specially tailored elitist nondominated sorting GA (ENSGA) to obtain so-called Pareto-optimal solutions for the problem at hand. Flexibility is introduced in the design by imposing phase-response linearity only in the passband instead of the entire baseband as in conventional designs. Three objective functions based on the amplitude-response error and the flatness of the group-delay characteristic are explored in the design examples considered. When compared with a WLS design method, the ENSGA was found to lead to improvements in the amplitude response and passband group-delay characteristic.
In Chap. 6, a hybrid approach for the design of IIR filters using a GA along with a quasi-Newton (QN) algorithm is developed. The hybrid algorithm, referenced to as the genetic quasi-Newton (GQN) algorithm combines the flexibility and reliability inherent in the GA with the fast convergence and precision of the QN algorithm. The GA is used as a global search tool to explore different regions in the parameter space whereas the QN algorithm exploits the efficiency of a gradient-based algorithm in locating local solutions. The GQN algorithm works well with an arbitrary random initialization and filters that would satisfy prescribed amplitude-response specifications can easily be designed
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Badyal, Rajeev. "VLSI implementation of adaptive BIT/serial IIR filters." Thesis, 1992. http://hdl.handle.net/1957/36521.
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A new structure for the implementation of bit/serial adaptive IIR filter is
presented. The bit level system consists of gated full adders for the arithmetic
unit and data latches for the data path. This approach allows recursive
operation of the IIR filter to be implemented without any global
interconnections, minimal delay time, chip area and I/O pins. The
coefficients of the filter can be updated serially in real time for time invariant
and adaptive filtering. A fourth order bit/serial IIR filter is implemented on a
2 micron CMOS technology clocked at 55 MHz.Graduation date: 1992
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Li, Kun-Chou, and 李坤洲. "Design of Digital IIR Filters Using Taguchi-Genetic Algorithm." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/68445580786363672020.
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碩士國立高雄第一科技大學
機械與自動化工程所
92
The hybrid Taguchi-genetic algorithm (HTGA) approach is presented in this thesis to design digital IIR filters having equiripple behavior in both magnitude and group delay response. The proposed HTGA is modified from the traditional genetic algorithm(GA) with arithmetic crossover and non-uniform mutation. We apply Taguchi method to crossover and mutation operations. The systematic reasoning ability of the Taguchi method can promote the crossover efficiency and generate better offspring. The Taguchi method applied into mutation operations can enhance the neighborhood search and avoid premature convergence with controllable deteriorating probability, as well as avoiding the difficulty of choosing the mutation rate. It will also be shown that the HTGA performs batter than traditional GA by using some benchmark test functions . The proposed HTGA is applied to find the solution of an norm approximation problem having two objective functions representing the magnitude and group-delay requirements, respectively. Several design examples are given to illustrate the design procedure and performance of the proposed design method. Simulation results show that the proposed HTGA approach can obtain better performances than the classic technique and the existing GA-based method reported recently in the literature.
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Huang, Ping-Hsiu, and 黃秉修. "Design of Digital IIR Filters Using Taguchi-Immune Algorithm." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/38236927058425813063.
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碩士國立高雄第一科技大學
系統與控制工程研究所
93
In this study the Taguchi-immune algorithm (TIA) is proposed to solve the problem of designing the digital infinite impulse response (IIR) filters. The algorithm is based on specificity and memory characteristics of biological immune system. The Taguchi method is applied to recombination and mutation operations. The systematic reasoning ability of the Taguchi method is executed in the recombination operation to select the better genes to achieve the recombination. The mutation operation using the Taguchi method can enhance the neighborhood search and avoid premature convergence. Therefore, the TIA approach can be more robust and quickly convergent. We further compare hybrid Taguchi-genetic algorithm (HTGA) and TIA. It can be shown that the performance of the TIA is better than that of the HTGA. The proposed TIA approach is effectively applied to solve the digital low-pass (LP), high-pass (HP), bandpass (BP) and bandstop (BS) filters. Several design examples are given to illustrate the design procedures and performances of the proposed TIA approach. Simulation results show that the proposed TIA approach can obtain better results than the classic technique and the existing GA-based method reported recently in the literature.
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Lee, Ming I., and 李明毅. "Design of IIR Allpass Filters Using Higher-Order Statistics." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/80026225360898282752.
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Liao, Wen Yuan, and 廖文淵. "Design of discrete coefficient FIR and IIR digital Filters." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/24407580375330851011.
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WEN, SHI-JIE, and 聞士傑. "The architectural designs of high-speed IIR filters." Thesis, 1991. http://ndltd.ncl.edu.tw/handle/63858178632948763349.
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Li, Jing. "Design of approximately flat group delay selective IIR filters based on wave digital allpass filters." 2002. http://hdl.handle.net/1993/19674.
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Hsu, Shun-neng, and 許順能. "Design of Digital IIR Filters Using Least P-power Error Criterion." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/17432501134416309973.
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碩士國立高雄第一科技大學
電腦與通訊工程所
92
The least p-power error criterion is presented to design digital Infinite Impulse Response (IIR) filter in this thesis. It is clear that the advantage of IIR filter is to obtain the same accuracy as Finite Impulse Response (FIR) filter using less filter coefficients . However, the IIR filters will encounter the stability problem in practice; so we try to incorporate the stability constraint into the design method such that the designed IIR filter is stable . In chapter two, the least p-power frequency response error criterion is used to design IIR filter to assure stability. The proposed method easily incorporate the linear constraint of frequency response and can be extended to two-dimensional (2-D) IIR filter design. Design examples of lowpass filters are demonstrated to illustrate the effectiveness of the proposed method. In chapter three, the least p-power phase error criterion is adopted to design allpass filters and design examples of Hilbert transformer, fractional delay filter and notch filter are demonstrated to illustrate the effectiveness of the proposed method. Finally, I make some conclusions for this thesis.
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徐忠技. "Eigenfilter Approach to the Design of FIR and IIR Digital Filters." Thesis, 1991. http://ndltd.ncl.edu.tw/handle/49459139523041498591.
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Chang, Pablo, and 張耀仁. "Design of Minimum-Phase IIR Digital Filters by using Evolutionary Algorithms." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/43105296782213293455.
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碩士國立中央大學
通訊工程研究所
94
Relative to FIR filters, IIR filters have better realization structure. Because it uses less filter orders and saves memories and computation. However, IIR filters have two major problems, which cannot be neglected in communication engineering. One is stability and the other is linear phase. The minimum-phase IIR digital filter will be designed in the thesis so that one not only reforms the system’s unstability but also minimizes the group delay. In conventional algorithm, the search for the filter coefficients may drop into local minimum. An evolutionary algorithm will be used in this thesis for designing minimum-phase IIR digital filter. Because it has better opportunities to converge to global optimum. In addition, we have designed the fitness functions by using three kinds of error functions (LMS, MSE, MAE) simultaneously so that the filter model tends to more ideal. The optimum filter coefficients designed by evolutionary algorithm are assumed the infinitely-precision. For this reason, we propose that a group of IIR digital filter coeficients of global optimum can be searched by using signed power-of-two allocation scheme. It utilizes shifter registers to replace multiplications for improving hardware efficiency. Moreover, designed filter coeficients can be applied directly to hardware realization without taking risk of quantification inaccuracy of coefficients, which is the merit of finitely-precision.
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Joshi, Yashwant Vasantrao. "On the design of infinite impulse response(IIR) digital notch filters." Thesis, 1997. http://localhost:8080/xmlui/handle/12345678/5527.
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Chang, Che-Yu, and 張哲毓. "Design of One-Dimensional and Two-Dimensional Digital IIR Filters Using Genetic Algorithm." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/33746568025732176405.
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碩士國立高雄第一科技大學
電腦與通訊工程所
93
In this thesis, the genetic algorithm is presented to design stable one-dimensional (1-D) and two-dimensional (2-D) digital IIR filters. Two steps involved are as follows: First, the IIR design problem is reduced to a constrained optimization problem in which the errors between the ideal frequency response and the actual response of cascade-form IIR filter are minimized. Second, the genetic algorithm is applied to solve this constrained optimization problem such that the optimal coefficients of cascade-form IIR filters can be obtained. Because the stability constraints are imposed on the design of the initial population and fitness function, we can not only improve the design speed of the genetic algorithm but also guarantee the resultant filter is stable. Moreover, the proposed migration operator would ensure the diversity of individuals in the crossover pool and avoid premature convergence of genetic algorithm. The effectiveness of the proposed method is demonstrated by numerical design examples with arbitrary magnitude specifications. Also, the comparisons with the results of some conventional design methods are made. Finally, we conclude this thesis and suggest some future works.
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Chen, Chia-Peng, and 陳家鵬. "Design of FIR/IIR Digital Filters with Linear Constraints by Multiple Exchange Algorithm." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/15239623989865222221.
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碩士國立臺灣大學
電信工程學研究所
89
Traditionally, when we design filters, what we are only concerned about is whether the designed filters satisfy frequency response specifications. However, we also need to impose some linear constraints on filters in some situations, such as when we design Nyquist filters, when the better accuracy of the frequency response around a specific frequency is required, and so on. In this dissertation, we will design several FIR (Finite Impulse Response) and IIR (Infinite Impulse Response) digital filters with linear constraints by applying generalized multiple exchange algorithm. The multiple exchange algorithm is very efficient for linear phase FIR digital filter design, and we will introduce some similar algorithms for designs of other filters including FIR multirate filters, IIR differentiators, IIR Nyquist filters, complex IIR filters, etc. Besides multiple exchange algorithms, other design methods such as Lagrange multiplier and eigenfilter approach are also discussed for comparison. Several design examples are included to demonstrate the feasibility of our design algorithms.
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Chang, Hsin-Chih, and 張信志. "A New WLS Chebyshev Approximation Method for the Design of IIR Digital Filters." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/83373246513680110483.
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碩士國立清華大學
電機工程研究所
82
This thesis proposes a new approximation method using the weighted least squares (WLS) algorithm for the design of IIR filters. The WLS algorithm used by Chi and Chiou's approxima- tion method for the design of FIR filters is modified for the designed of IIR filters. When the desired frequency response including magnitude and phase is specified, the designed IIR filter is nearly equiripple in absolute (complex) approxima- tion error, but it is not guaranteed to be stable. The pro- posed approximation method can also be used for the design of allpass filters by taking into account of some constraint in filter coefficients. The designed allpass filter is equiripple in phase and will be stable by adding an appropriate positive group delay to the desired group delay response. On the other hand, when only magnitude of the desired frequency response is specified, the designed IIR filter is minimum-phase. Six de- signed examples are provided to support the proposed approxi- mation method. Finally, we draw some conclusions.
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YE, XUN-HONG, and 葉遜鴻. "The computer-aided design of two-dimensional IIR digital filters using mirror-image technique." Thesis, 1988. http://ndltd.ncl.edu.tw/handle/51731357791278963445.
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Bokhari, Syed. "Design and Discrete Optimization of BIBO Stable FRM Digital Filters Incorporating IIR Digital Interpolation Subfilters." Master's thesis, 2010. http://hdl.handle.net/10048/1014.
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Digital filters having sharp transition band play a vital role in modern digital signal processing (DSP) applications. Emerging technologies require digital filters to be both computationally efficient in software/hardware realizations. This thesis is concerned with the design and structural-level optimization of sharp transition band digital filters employing the well known frequency response masking (FRM) approach. Unlike the conventional finite impulse response (FIR) based FRM approach, the FRM technique used in this thesis incorporates infinite impulse response (IIR) digital interpolation subfilters, thereby reducing the overall filter order that results in a reduction of hardware complexity. Two realization methods are discussed in this thesis, namely, the bilinear-lossless-discrete-integrators (bilinear-LDI) digital filter design technique, and the lattice wave digital filter (lattice WDF) digital filter design technique.
Diversity controlled (DC) genetic algorithm (GA) is employed to optimize both types of IIR based FRM digital filters over the efficient canonical signed digit (CSD) multiplier coefficient space. DCGAs represent FRM digital filters by a binary chromosome and proceed from a population pool of candidate chromosomes to future generations in order
to arrive at the desired FRM digital filter satisfying the design specifications. A novel cost-function is used that allows the DCGA to simultaneously optimize both the amplitude-frequency and group-delay frequency response. A fast convergence speed has been observed.Communications
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Yang, Wen Xin, and 楊文信. "Eigen approach to the design of FIR and IIR digital filters with time/frequency constraints." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/90541290223960835743.
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Lin, Huei-Shan, and 林慧珊. "Design of FIR/IIR Maximally Flat Fractional Delay Filters and Fractional Hilbert Transformers Using Cepstral Methods." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/80830534593883615885.
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博士國立臺灣大學
電信工程學研究所
99
In this dissertation, we introduce several designs on digital fractional delay(FD) filters and fractional Hilbert transformer(FHT), the latter of which is the generalization of the normal Hilbert transformer(HT). Both FIR and IIR designs are considered for these filters. Two major techniques employed to design these filters are maximally flat(MF) condition and cepstral analysis, which are introduced in Chapter 1 and Chapter 2, respectively. MF filters has the advantage of possessing flat and accurate desired response around the concerned band. With MF condition only, in Chapter 3, we design six types of FIR MF FD filters, among which four types save half the multipliers, respectively appropriate for different frequency band requirements. In Chapter 4, eight types of IIR MF HTs with integer delay are designed, through Eneström-Kakeya theorem and loosening its constraint, the resultant IIR filters are stable for most cases. While compared with existing FIR and allpass Hilbert transformer, our IIR design is more flexible and capable of balancing the bandwidth requirement and the delay constraint. Since the FD filter and the FHT are phase-oriented filters, it is very appropriate to apply cepstrum design directly on the phase response of these filters. In Chapter 5, we further apply MF condition in cepstral domain to design FD filters and FHT, where the obtained complex cepstrum(CC) is proportional to the design parameters and facilitates update of parameters. Such proportionality is further utilized in Chapter 6 to obtain several tunable structures for FIR and IIR allpass FD filters, including the well known Farrow structure. Compared with other two existing Farrow structures, our Farrow structure largely saves numbers of multipliers while remains more accurate than some non-MF-based Farrow structure. While the involved problem is two-dimensional and above, the complexity of traditional cepstral analysis tool, specifically, the differential cepstrum(DC) technique, grows dramatically. In Chapter 7, we simplify this technique by defining a new type of cepstrum, named partially differential cepstrum(PDC). The simplicity makes PDC a more efficient tools for cepstral analysis. Besides, a PDC-based phase-unwrapping method is proposed, which is simple for implementation and robust against noisy phase.
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Suneet, Tuli. "Computer-aided design,fabrication and characterisation of surface acoustic wave dispersive filters with metal and proton exchanged dots." Thesis, 1995. http://localhost:8080/iit/handle/2074/2566.
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Nagamuthu, Natarajan. "Fast and efficient techniques for the design of 2-D elliptically and circularly symmetric FIR and IIR digital filters using McClellan transformation." Thesis, 1989. http://spectrum.library.concordia.ca/5843/1/NL51328.pdf.
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