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Dissertations / Theses on the topic 'Error control'

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Published: 4 June 2021

Last updated: 9 February 2022

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1

Abdelhamid, Awad Aly Ahmed Sala. "Quantum error control codes." Diss., Texas A&M University, 2008. http://hdl.handle.net/1969.1/85910.

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It is conjectured that quantum computers are able to solve certain problems more quickly than any deterministic or probabilistic computer. For instance, Shor's algorithm is able to factor large integers in polynomial time on a quantum computer. A quantum computer exploits the rules of quantum mechanics to speed up computations. However, it is a formidable task to build a quantum computer, since the quantum mechanical systems storing the information unavoidably interact with their environment. Therefore, one has to mitigate the resulting noise and decoherence effects to avoid computational errors. In this dissertation, I study various aspects of quantum error control codes - the key component of fault-tolerant quantum information processing. I present the fundamental theory and necessary background of quantum codes and construct many families of quantum block and convolutional codes over finite fields, in addition to families of subsystem codes. This dissertation is organized into three parts: Quantum Block Codes. After introducing the theory of quantum block codes, I establish conditions when BCH codes are self-orthogonal (or dual-containing) with respect to Euclidean and Hermitian inner products. In particular, I derive two families of nonbinary quantum BCH codes using the stabilizer formalism. I study duadic codes and establish the existence of families of degenerate quantum codes, as well as families of quantum codes derived from projective geometries. Subsystem Codes. Subsystem codes form a new class of quantum codes in which the underlying classical codes do not need to be self-orthogonal. I give an introduction to subsystem codes and present several methods for subsystem code constructions. I derive families of subsystem codes from classical BCH and RS codes and establish a family of optimal MDS subsystem codes. I establish propagation rules of subsystem codes and construct tables of upper and lower bounds on subsystem code parameters. Quantum Convolutional Codes. Quantum convolutional codes are particularly well-suited for communication applications. I develop the theory of quantum convolutional codes and give families of quantum convolutional codes based on RS codes. Furthermore, I establish a bound on the code parameters of quantum convolutional codes - the generalized Singleton bound. I develop a general framework for deriving convolutional codes from block codes and use it to derive families of non-catastrophic quantum convolutional codes from BCH codes. The dissertation concludes with a discussion of some open problems.

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2

Zhou, Tingxian, Xiaohua Yin, and Xianming Zhao. "A New Error Control Scheme for Remote Control System." International Foundation for Telemetering, 1994. http://hdl.handle.net/10150/611658.

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International Telemetering Conference Proceedings / October 17-20, 1994 / Town & Country Hotel and Conference Center, San Diego, California
How to rise the reliability of the data transmission is one of the main problem faced by modern digital communication designers. This paper studies the error-correcting codes being suitable for the channel existing both the random and burst error. A new error control scheme is given. The scheme is a concatenated coding system using an interleaved Reed-Solomon code with symbols over GF (24) as the outer code and a Viterbi-decoded convolutional code as the inner code. As a result of the computer simulation, it is proved that the concatenated coding system has a output at a very low bit error rate (BER)and can correct a lot of compound error patterns. It is suitable for the serious disturb channel existing both the random and burst error. This scheme will be adopted for a remote control system.

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3

Yankopolus, Andreas George. "Adaptive Error Control for Wireless Multimedia." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5237.

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Future wireless networks will be required to support multimedia traffic in addition to traditional best-effort network services. Supporting multimedia traffic on wired networks presents a large number of design problems, particularly for networks that run connectionless data transport protocols such as the TCP/IP protocol suite. These problems are magnified for wireless links, as the quality of such links varies widely and uncontrollably. This dissertation presents new tools developed for the design and realization of wireless networks including, for the first time, analytical channel models for predicting the efficacy of error control codes, interleaving schemes, and signalling protocols, and several novel algorithms for matching and adapting system parameters (such as error control and frame length) to time-varying channels and Quality of Service (QoS) requirements.

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4

Joe, Inwhee. "Error control for wireless ATM networks." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/15643.

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5

Popplewell, Andrew. "Combined line and error control coding." Thesis, Bangor University, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236394.

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6

Matrakidis, Chris. "Error control coding for constrained channels." Thesis, University College London (University of London), 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.324963.

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7

Ishihara, Abraham K. "Feedback error learning in neuromotor control /." May be available electronically:, 2008. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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8

Pu, Jianfeng. "Error Control in Wireless ATM Network." Diss., Virginia Tech, 2000. http://hdl.handle.net/10919/28114.

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Asynchronous Transfer Mode (ATM) protocol was designed to support real-time traffic steams over high quality links like fiber optics where the transmission error is extremely low. ATM performs poorly in an error-prone environment such as wireless communications. The purpose of this research is to investigate error control schemes in wireless ATM (W-ATM) to support real-time service, such that the physical layer error conditions are handled in lower layers under ATM transport layer. Automatic Repeat reQuest schemes (ARQ) and Forward Error Correction (FEC) have been widely used for reliable data transmissions. However, the current existing ARQ schemes can potentially introduce unbounded delay in high error rate environments like W-ATM network due to the lack of delay control mechanism. As a result, they are not appropriate for real-time data communications in which there are strict packet delay requirements. In this dissertation, we explored the issues related to W-ATM area. Adaptation of FEC, specifically Reed-Solomon code, to channel error conditions in W-ATM is investigated. The quality-of-service (QoS)-aware error control algorithm is originated and its performance is evaluated. The algorithm is further simplified to make it more suitable for practical applications. The requirements of ARQ applicability for real-time communication environment like W-ATM is extensively analyzed. An ARQ scheme, called D-bit protocol, is developed to satisfy the real-time requirements. The scheme supports reliable packet discarding while allowing retransmissions without compromising user-level QoS for real-time stream applications. Simulations show the effectiveness and liveness of the protocol.
Ph. D.

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9

Chen, Bainan. "Hardware Implementation of Error Control Decoders." Case Western Reserve University School of Graduate Studies / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=case1209531418.

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10

Grymel, Martin-Thomas. "Error control with binary cyclic codes." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/error-control-with-binary-cyclic-codes(a5750b4a-e4d6-49a8-915b-3e015387ad36).html.

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Error-control codes provide a mechanism to increase the reliability of digital data being processed, transmitted, or stored under noisy conditions. Cyclic codes constitute an important class of error-control code, offering powerful error detection and correction capabilities. They can easily be generated and verified in hardware, which makes them particularly well suited to the practical use as error detecting codes.A cyclic code is based on a generator polynomial which determines its properties including the specific error detection strength. The optimal choice of polynomial depends on many factors that may be influenced by the underlying application. It is therefore advantageous to employ programmable cyclic code hardware that allows a flexible choice of polynomial to be applied to different requirements. A novel method is presented in this thesis to realise programmable cyclic code circuits that are fast, energy-efficient and minimise implementation resources.It can be shown that the correction of a single-bit error on the basis of a cyclic code is equivalent to the solution of an instance of the discrete logarithm problem. A new approach is proposed for computing discrete logarithms; this leads to a generic deterministic algorithm for analysed group orders that equal Mersenne numbers with an exponent of a power of two. The algorithm exhibits a worst-case runtime in the order of the square root of the group order and constant space requirements.This thesis establishes new relationships for finite fields that are represented as the polynomial ring over the binary field modulo a primitive polynomial. With a subset of these properties, a novel approach is developed for the solution of the discrete logarithm in the multiplicative groups of these fields. This leads to a deterministic algorithm for small group orders that has linear space and linearithmic time requirements in the degree of defining polynomial, enabling an efficient correction of single-bit errors based on the corresponding cyclic codes.

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11

Bai, Chenyao. "Error control in bacterial quorum communications." Thesis, University of Warwick, 2016. http://wrap.warwick.ac.uk/80028/.

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Quorum sensing (QS) is used to describe the communication between bacterial cells, whereby a coordinated population response is controlled through the synthesis, accumulation and subsequent sensing of specific diffusible chemical signals called autoinducers, enabling a cluster of bacteria to regulate gene expression and behavior collectively and synchronously, and assess their own population. As a promising method of molecular communication (MC), bacterial populations can be programmed as bio-transceivers to establish information transmission using molecules. In this work, to investigate the key features for MC, a bacterial QS system is introduced, which contains two clusters of bacteria, specifically Vibrio fischeri, as the transmitter node and receiver node, and the diffusive channel. The transmitted information is represented by the concentration of autoinducers with on-off keying (OOK) modulation. In addition, to achieve better reliability and energy efficiency, different error control techniques, including forward error correction (FEC) and Automatic Repeat reQuest (ARQ) are taken into consideration. For FEC, this work presents a comparison of the performance of traditional Hamming codes, Minimum Energy Codes (MEC) and Luby Transform (LT) codes over the channel. In addition, it applied several ARQ protocols, namely Stop-N-Wait (SW-ARQ), Go-Back-N (GBN-ARQ), and Selective-Repeat (SR-ARQ) combined with error detection codes to achieve better reliability. Results show that both the FEC and ARQ techniques can enhance the channel reliability, and that ARQ can resolve the issue of out-of-sequence and duplicate packet delivery. Moreover, this work further addresses the question of optimal frame size for data communication in this channel capacity and energy constrained bacterial quorum communication system. A novel energy model which is constructed using the experimental validated synthetic logic gates has been proposed to help with the optimization process. The optimal fixed frame length is determined for a set of channel parameters by maximizing the throughput and energy efficiency matrix.

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12

Eriksson, Oskar. "Error Control in Wireless Sensor Networks : A Process Control Perspective." Thesis, Uppsala universitet, Signaler och System, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-160784.

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The use of wireless technology in the process industry is becoming increasingly important to obtain fast deployment at low cost. However, poor channel quality often leads to retransmissions, which are governed by Automatic Repeat Request (ARQ) schemes. While ARQ is a simple and useful tool to alleviate packet errors, it has considerable disadvantages: retransmissions lead to an increase in energy expenditure and latency. The use of Forward Error Correction (FEC) however offers several advantages. We consider a Hybrid-ARQ-Adaptive-FEC scheme (HAF) based on BCH codes and Channel State Information. This scheme is evaluated on AWGN and fading channels. It is shown that HAF offers significantly improved performance both in terms of energy efficiency and latency, as compared to ARQ.

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13

Rice, Michael D. (Michael David). "Adaptive error control over slowly varying channels." Diss., Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/13396.

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14

Zhang, Liang. "Error control coding in ADSL DMT system." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape17/PQDD_0001/MQ36760.pdf.

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15

Nieuwenhuis, Sander Tjalling. "Control failures, error processing, and cognitive aging." [Amsterdam : Amsterdam : EPOS, experimenteel-psychologische onderzoekschool] ; Universiteit van Amsterdam [Host], 2001. http://dare.uva.nl/document/58548.

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16

Catterall, Noel James. "Public key cryptosystems based error control coding." Thesis, Lancaster University, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.538580.

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17

Ives, Robert W. "Error Control Coding for Multi-Frequency Modulation." Thesis, Monterey, California: Naval Postgraduate School, 1990. http://hdl.handle.net/10945/27762.

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Approved for public release; distribution is unlimited.
Multi-frequency modulation (MFM) has been developed at NPS using both quadrature-phase-shift-keyed (QPSK) and quadrature-amplitude-modulated (QAM) signals with good bit error performance at reasonable signal-to-noise ratios. Improved performance can be achieved by the introduction of error control coding. This report documents a Fortran simulation of the implementation of error control coding into an MFM communication link with additive white Gaussian noise. Four Reed-Solomon codes were incorporated, two for 16-QAM and two for 32- QAM modulation schemes. The error control codes used were modified from the conventional Reed-Solomon codes in that one information symbol was sacrificed to parity in order to use a simplified decoding algorithm which requires no iteration and enhances error detection capability. Bit error rates as a function of SNR and EbN0 were analyzed, and bit error performance waa weighed against reduction in information rate to determine the value of the codes.

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18

Higham, D. J. "Error control in nonstiff initial value solvers." Thesis, University of Manchester, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.234210.

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19

Wang, Hui. "Error equivalence theory for manufacturing process control." [Tampa, Fla.] : University of South Florida, 2007. http://purl.fcla.edu/usf/dc/et/SFE0002252.

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20

McPhail, Bernard N. B. (Bernard Nicolas Bruce) Carleton University Dissertation Engineering Electrical. "Error control coding for land mobile communications." Ottawa, 1986.

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21

Marple, Steven Robert. "Improved error control techniques for data transmission." Thesis, Lancaster University, 2000. http://eprints.lancs.ac.uk/8074/.

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Error control coding is frequently used to minimise the errors which occur naturally in the transmission and storage of digital data. Many methods for decoding such codes already exist. The choice falls mainly into two areas: hard-decision algebraic decoding, a computationally-efficient method, and soft-decision combinatorial decoding, which although more complex offers better error-correction. The work presented in this Thesis is intended to provide practical decoding algorithms which can be implemented in real systems. Soft-decision maximum-likelihood decoding of Reed-Solomon codes can be obtained by using the Viterbi algorithm over a suitable trellis. Two-stage decoding of Reed-Solomon codes is presented. It is an algorithm by which near-optimum performance may be achieved with a complexity lower than the Viterbi algorithm. The soft-output Viterbi algorithm (SOVA) has been investigated as a means of providing soft-decision information for subsequent decoders. Considerations of how to apply SOVA to multi-level codes are given. The use of SOVA in a satellite downlink channel is discussed. The results of a computer simulation, which showed a 1.8dB improvement in coding gain for only a 20% increase in decoding complexity, are presented. SOVA was also used to improve the decoding performance when applied to an RS product code. Several different decoding methods were evaluated, including cascade decoding, and a method where the row and columns were decoded alternately. A complexity measurement was developed which allows accurate comparisons of decoding complexity for trellis-based and algebraic decoders. With this technique the decoding complexity of all the algorithms implemented are compared. Also included in the comparison are the Euclidean and Berlekamp-Massey algorithms.

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22

GUO, WENGE. "GENERALIZED ERROR CONTROL IN MULTIPLE HYPOTHESIS TESTING." University of Cincinnati / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186500727.

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23

Toundas, Panayiotis. "Mobile specific error control (MSEC), a proposed error control scheme for supporting quality of service in wireless ATM networks." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq24254.pdf.

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24

Du, Bing Bing. "ECC Video: An Active Second Error Control Approach for Error Resilience in Video Coding." Queensland University of Technology, 2003. http://eprints.qut.edu.au/15847/.

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To support video communication over mobile environments has been one of the objectives of many engineers of telecommunication networks and it has become a basic requirement of a third generation of mobile communication systems. This dissertation explores the possibility of optimizing the utilization of shared scarce radio channels for live video transmission over a GSM (Global System for Mobile telecommunications) network and realizing error resilient video communication in unfavorable channel conditions, especially in mobile radio channels. The main contribution describes the adoption of a SEC (Second Error Correction) approach using ECC (Error Correction Coding) based on a Punctured Convolutional Coding scheme, to cope with residual errors at the application layer and enhance the error resilience of a compressed video bitstream. The approach is developed further for improved performance in different circumstances, with some additional enhancements involving Intra Frame Relay and Interleaving, and the combination of the approach with Packetization. Simulation results of applying the various techniques to test video sequences Akiyo and Salesman are presented and analyzed for performance comparisons with conventional video coding standard. The proposed approach shows consistent improvements under these conditions. For instance, to cope with random residual errors, the simulation results show that when the residual BER (Bit Error Rate) reaches 10-4, the video output reconstructed from a video bitstream protected using the standard resynchronization approach is of unacceptable quality, while the proposed scheme can deliver a video output which is absolutely error free in a more efficient way. When the residual BER reaches 10-3, the standard approach fails to deliver a recognizable video output, while the SEC scheme can still correct all the residual errors with modest bit rate increase. In bursty residual error conditions, the proposed scheme also outperforms the resynchronization approach. Future works to extend the scope and applicability of the research are suggested in the last chapter of the thesis.

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25

Schantin, Andreas [Verfasser]. "Error control for Radio Frequency Identification / Andreas Schantin." Siegen : Universitätsbibliothek der Universität Siegen, 2015. http://d-nb.info/1075911567/34.

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Hetey, Laszlo. "Idealisation error control for aerospace virtual structural testing." Thesis, Cranfield University, 2009. http://hdl.handle.net/1826/4432.

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This thesis addresses idealisation error control for the nonlinear finite element method. The focus is on accurate failure prediction of mid-size aerospace structures. The objective is the development of technologies that shorten the certification process of new airplanes, by replacing expensive and time consuming testing with reliable calculation methods. The SAFESA (Safe Structural Analysis) approach was applied to the collapse analyses of stiffened metal panels. ABAQUS/Standard was thereby the utilised nonlinear solver. Because the original SAFESA procedure is tailored for linear analyses, the methodology needed an update. The first analysis case is a stiffened panel compression test which was arranged as a lecture demonstration at Cranfield University. The analysis behaviour is highly nonlinear due to the thin-walled properties of the panel. The second analysis investigates an Airbus compression panel. Until failure, the panel behaves geometrically less complicated because the major load bearing parts are thick-walled and bend smoothly. The main research work is the critical analysis of important modelling assumptions concerning the used material model, boundary conditions and geometrical imperfections. In both cases, the method helped to identify idealisation errors and to build a reliable FEM model. In order to deal with the nonlinear error sources, minor extensions to the original method had to be made. The major achievement is the development of the first expert system which applies the idealisation error control methodology. CAD data import, geometry visualization, a knowledge-based decision making advisor and audit trail functionality were implemented. The expert system leads the user through a step-by-step idealisation process. Each decision is documented and a confidence level must be supplied. This way, every uncertainty is flagged out as potential error source. An interactive interface was created, which provides the user with expert advice on how to treat the idealisation errors. The software has been validated and shown to meet the program objectives.

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Selnes, Stian. "Feedback-based Error Control Methods for H.264." Thesis, Norwegian University of Science and Technology, Department of Electronics and Telecommunications, 2007. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-8802.

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Many network-based multimedia applications transmit real-time media over unreliable networks, i.e. data may be lost or corrupted on its route from sender to receiver. Such errors may cause a severe degradation in perceptual quality. It is important to apply techniques that improve the robustness against errors, in order to ensure that the receiver is able to playback the media with the best attainable quality. Today, most ER schemes for video employ proactive error resilient encoding. These schemes add redundant information into the encoded video stream in order to increase the robustness against potential errors. Because of this, most proactive schemes suffer from a significant reduction of the coding efficiency. Another approach is to adjust the encoder operations based on feedback information from the decoder, e.g. to repair corrupted regions based on reports of lost data. Feedback-based ER schemes normally improves the coding efficiency compared with proactive schemes. Moreover, they adjust rapidly to time-varying network conditions. The objective of this thesis is to develop and evaluate a feedback-based ER scheme conforming to the H.264/AVC standard and applicable for real-time low-delay video applications. The scheme is referred to as FBIR. The performance of FBIR will be compared with an existing proactive ER scheme, known as IPLR. Special attention is given to the applied feedback mechanism, RTP/AVPF. RTP/AVPF is a new (2006) feedback protocol. Basically, it specifies two modifications/additions to the RTCP: First, it modifies the timing algorithm to enable early feedback, while not exceeding the RTCP bandwidth constraint. Second, new RTCP message types are defined, which provides information useful for error control purposes. FBIR employs RTP/AVPF to provide timely feedback of lost packets from the decoder to the encoder. Upon reception of this feedback, the encoder use a fast error tracking algorithm to locate the erroneous regions. Finally, the regions that are assumed to be visually corrupted after decoding are intra refreshed. IPLR is an ER scheme developed for use in a commercial video communication system. It applies a motion-based intra refresh routine. The comparison is carried out by online simulations with various network environments (0, 1, 3 and 5% loss rate; 50 and 200 ms latency), bit rates (64, 144 and 384 kbit/s) and video sequences. First, the video is encoded and transmitted in real-time to the decoder via a network emulator. This emulator generates the desired network characteristics. The receiver decodes the video in real-time and transmits feedback information back to the encoder. The encoder adjusts its encoding process according to this feedback. The H.264/AVC reference software is modified and used as codec. Finally, objective quality measures are obtained by calculating the PSNR of the decoded videos. In addition, some visual inspection is performed. Isolated measures on the RTP/AVPF transmission algorithm are also performed. These show that RTP/AVPF is able to provide timely feedback for error control purposes for a great number of applications and network environments. However, the experienced feedback delay may be increased by numerous factors, e.g. the network latency, the packet loss rate, the session bandwidth, and the number of receivers. This may decrease the performance of ER schemes utilizing RTP/AVPF. RTP/AVPF is fairly easy to implement since it only modifies the RTCP timing algorithm and adds new RTCP message types. RTP/AVPF may be used in combination with other standards in order to extend the available feedback information. Hence, RTP/AVPF enables timely feedback for use in a wide range of multimedia applications. The PSNR measurements show that FBIR always obtains higher objective quality than IPLR for error free transmissions. This does not, however, necessarily affect the perceptual quality if the bit rate is high. FBIR achieves higher PSNR in other situations as well, such as for very low loss rates, low or medium bit rates, and for sequences with high or medium motion activity. Conversely, IPLR performs better for low motion sequences encoded at high bit rates when the loss rate exceeds a certain threshold, typically about 1%. It is also shown that the performance of FBIR may be reduced if the network latency increases. Visually, the main difference between the two schemes is that FBIR recovers all corrupted regions at one instant, while IPLR performs a gradual refresh. The average time before recovery is somewhat shorter for IPLR. The differences between FBIR and IPLR are mainly caused by two factors. First, using FBIR results in less intra coding and thus better coding efficiency. Second, the FBIR scheme does not repair errors until the encoder receives the feedback. Usually, this happens after IPLR has repaired most of the corrupted region. In short, one can say that FBIR provides medium error robustness and high coding efficiency, in contrast to IPLR's high robustness and low coding efficiency. While FBIR's performance may be reduced by network characteristics such as increased latency, IPLR is unaffected by these factors. For error free transmissions, FBIR does not significantly reduce the coding gain compared with a non-robust encoding scheme. Still, it provides a good robustness against corruption in error-prone networks. Thus, all real-time video systems that benefit from immediate feedback should strongly consider to employ FBIR or similar feedback-based ER schemes.

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Lundqvist, Henrik. "Error and Traffic Control for High-Speed Networks." Doctoral thesis, Stockholm : Laboratory for Communication Networks, Department of Signals, Sensors and Systems, KTH, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-468.

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Lakhany, Asif. "Finite element recovery techniques in adaptive error control." Thesis, Brunel University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.262505.

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Zhang, Zaichen, and 張在琛. "Network-supported internet multicast congestion and error control." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B31243915.

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Katsaros, A. "An adaptable high-speed error-control algebraic decoder." Thesis, University of Kent, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.374159.

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Daniel, J. S. "Synthesis and decoding of array error control codes." Thesis, University of Manchester, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.374587.

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Date, Paresh. "Identification for control : deterministic algorithms and error bounds." Thesis, University of Cambridge, 2000. https://www.repository.cam.ac.uk/handle/1810/251751.

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This dissertation deals with frequency domain identification of linear dynamic systems in a deterministic set-up. Various untuned algorithms are suggested, including one which is robustly convergent and asymptotically optimal (in n-width sense) for a finite model order. The suggested algorithms can easily be implemented in commercially available software for convex optimization.

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Kawelke, Jens. "Perturbation and error analysis considerations in robust control." Thesis, University of Leicester, 1997. http://hdl.handle.net/2381/30177.

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This thesis deals with perturbation and error analysis in robust control, mainly H control, but the H2 norm is also considered. Perturbation analysis investigates the sensitivity of a solution or structure to perturbations or uncertainties in the input data. Error analysis is used to make statements about the numerical stability of an algorithm and uses results from perturbation analysis. Although perturbation and error analysis is a well-developed field in linear algebra, very little work has been done to introduce these concepts into the field of control. This thesis attempts to improve this situation. The main emphasis of the thesis is on H norm computations. Nonlinear and linear perturbation bounds are derived for the H norm. A rigorous error analysis is presented for two methods of computing the H norm: the Hamiltonian method and the SVD method. Numerical instability of the Hamiltonian method is shown with several examples. The SVD method, which is shown to be numerically stable, is updated with new upper and lower bounds for the frequency response between two given frequency points. Then using an upper frequency bound, a new algorithm is presented. This new algorithm can be implemented in a parallel process and has a similar performance to the Hamiltonian method in terms of computing time. In addition, nonlinear and linear perturbation bounds are derived for the H2 norm, and for the solutions of Lyapunov equations. Finally the H control problem is considered and perturbation bounds for the corresponding parameterized Riccati equations are derived. This leads to an estimation of the norm of the perturbation in the H controller.

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Rice, Michael. "Applications of Type-I Hybrid-ARQ Error Control." International Foundation for Telemetering, 1992. http://hdl.handle.net/10150/608893.

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International Telemetering Conference Proceedings / October 26-29, 1992 / Town and Country Hotel and Convention Center, San Diego, California
Hybrid-ARQ schemes employ the simultaneous application of error-detection and error-correction to combat transmission errors in a data communications system. In this way automatic repeat request (ARQ) and forward error correction (FEC) schemes are combined to offer effective error control. The key to implementation is the identification of reliability information in the FEC decoding process which is used to alter the FEC decoding algorithm. Under certain channel conditions, the realized efficiency is superior to that of either FEC or ARQ.

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36

Ahlkrona, Josefin. "Computational Ice Sheet Dynamics : Error control and efficiency." Doctoral thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-283442.

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Ice sheets, such as the Greenland Ice Sheet or Antarctic Ice Sheet, have a fundamental impact on landscape formation, the global climate system, and on sea level rise. The slow, creeping flow of ice can be represented by a non-linear version of the Stokes equations, which treat ice as a non-Newtonian, viscous fluid. Large spatial domains combined with long time spans and complexities such as a non-linear rheology, make ice sheet simulations computationally challenging. The topic of this thesis is the efficiency and error control of large simulations, both in the sense of mathematical modelling and numerical algorithms. In the first part of the thesis, approximative models based on perturbation expansions are studied. Due to a thick boundary layer near the ice surface, some classical assumptions are inaccurate and the higher order model called the Second Order Shallow Ice Approximation (SOSIA) yields large errors. In the second part of the thesis, the Ice Sheet Coupled Approximation Level (ISCAL) method is developed and implemented into the finite element ice sheet model Elmer/Ice. The ISCAL method combines the Shallow Ice Approximation (SIA) and Shelfy Stream Approximation (SSA) with the full Stokes model, such that the Stokes equations are only solved in areas where both the SIA and SSA is inaccurate. Where and when the SIA and SSA is applicable is decided automatically and dynamically based on estimates of the modeling error. The ISCAL method provides a significant speed-up compared to the Stokes model. The third contribution of this thesis is the introduction of Radial Basis Function (RBF) methods in glaciology. Advantages of RBF methods in comparison to finite element methods or finite difference methods are demonstrated.
eSSENCE

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37

Attwal, Preet Singh. "Objective error measure techniques for error analysis and control within the finite element analysis process." Thesis, Cranfield University, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340874.

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Dixdotter, Maja. "vemod(en) : -A tribute to the perfect error." Thesis, Högskolan i Borås, Akademin för textil, teknik och ekonomi, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:hb:diva-172.

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In this collection I have explored the paradox of perfection. The collection is an epic tribute to my prior self and discovers how the unperfect can be transformed to something, perceived, perfect. I flirt with my past obsessions in finding mathematically measured legs, exact tailored arms and perfectly fitted stockings. In a fun, poetic and melancholy way I invite the viewer on a highly visual voyage to my childhood where the obsession of finding costume perfection "Vemoden" the act of control becomes visual through statuesque frozen looks, where the previous unperfect becomes perfection.

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Martin, Ian. "Practical error control techniques for transmission over noisy channels." Thesis, Lancaster University, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.287254.

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40

Fragiacomo, Simon. "Development in channel coding for error and spectral control." Thesis, University College London (University of London), 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.265072.

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Fan, Xiaopeng. "Wyner-ziv coding and error control for video communication /." View abstract or full-text, 2009. http://library.ust.hk/cgi/db/thesis.pl?ECED%202009%20FAN.

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COSTA, PAULO WERNECK DE ANDRADE. "ADAPTIVE CONTROL OF A MACROECONOMETRIC MODEL WITH MEASUREMENT ERROR." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1991. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=9400@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
O Planejamento econômico, abordado como um problema de controle, tem por objetivo estabelecer trajetórias ótimas (ou sub-ótimas) para as variáveis que estão sujeitas ao controle do Governo. Isto significa dizer que as varáveis de política (controle) não mais serão arbitrariamente determinadas pelos seus planejadores, sendo agora resultantes de um processo de otimização , tendo em vista o cumprimento de metas previamente estabelecidas. Neste artigo aplicamos um controlador adaptativo de certeza equivalente a um modelo macroeconométrico da economia brasileira, considerando erro de medida nas variáveis de estado. A adoção de um controlador adaptativo é justificada tendo em vista as críticas (principalmente a crítica de Lucas) que recaíram sobre os modelos macroeconométricos estacionários. Uma das formas adequadas de se tratar a não estacionariedade de tais modelos é por intermédio de um controlador adaptativo cujo objetivo será controlar e identificar simultaneamente o modelo em questão. Apresentamos uma pequena resenha das aplicações de controle ótimo e controle adaptativo em problema econômicos, ressaltando a aplicação de ambas as técnicas em modelos macroeconométricos com expectativas racionais. Por intermédio de simulações comparamos a política realmente efetivada pelo governo federal e a política ótima obtida via controle ótimo não adaptativo.
Economic planning, when considered as a control problem, has as its objective establishing optimal (or sub-optimal) trajectories for the variables subject to Government Control. This means that the policy variables (control), instead of being arbitrarily determined by the policymakers, will be the result of an optimization process, with the objective of reaching pre-established goals. In this work a Certainly Equivalence Adaptative Control is applied to a macroeconometric model of the Brazilian economy with measurement error. Since the employment of time-invariant models has been widely criticized (Lucas critique) the model used here is time- varying. An adequate way to treat such a case is through an adaptative control scheme, in which control and identification of the model are perfomed simultaneously. By means of simulations the policy obtained with the adaptative controller is compared to the policy adopted by the Brazilian Government.

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Platt, Edward L. "Effects of control error on an adiabatic quantum algorithm." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/36123.

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Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2006.
Includes bibliographical references (p. 59-60).
Noise in adiabatic quantum computation can be modelled as a perturbation of the problem Hamiltonian. For a type of noise called control error, the perturbation can be considered to have the same structure as the problem Hamiltonian. If the problem Hamiltonian, and therefore the noise, are 2-local, then the result of the adiabatic algorithm can be simulated somewhat more efficiently than an algorithm with an arbitrary problem Hamiltonain. Using optimized numerical methods, I present an analysis of the effect of 1-local and 2-local control error on the success of an adiabatic algorithm that solves the agree problem. Furthermore, I examine how the maximum allowable noise, or success threshold, scales with the number of qubits. These analyses suggest the existence of a minimum success threshold for the particular algorithm considered in the presence of only 2-local noise on an arbitrarily large number of qubits, as well as a polynomial decrease in success threshold with the number of qubits.
by Edward L. Platt.
S.B.

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Wey, Shou-Jen. "Performance analysis of error control protocols in computer communications /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487681788254348.

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Ghiglino, Pablo. "Quaternion error-based optimal control applied to pinpoint landing." Thesis, University of Surrey, 2016. http://epubs.surrey.ac.uk/809777/.

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Accurate control techniques for pinpoint planetary landing - i.e., the goal of achieving landing errors in the order of 100m for unmanned missions - is a complex problem that have been tackled in different ways in the available literature. Among other challenges, this kind of control is also affected by the well known trade-off in UAV control that for complex underlying models the control is sub-optimal, while optimal control is applied to simplifed models. The goal of this research has been the development new control algorithms that would be able to tackle these challenges and the result are two novel optimal control algorithms namely: OQTAL and HEX2OQTAL. These controllers share three key properties that are thoroughly proven and shown in this thesis; stability, accuracy and adaptability. Stability is rigorously demonstrated for both controllers. Accuracy is shown in results of comparing these novel controllers with other industry standard algorithms in several different scenarios: there is a gain in accuracy of at least 15% for each controller, and in many cases much more than that. A new tuning algorithm based on swarm heuristics optimisation was developed as well as part of this research in order to tune in an online manner the standard Proportional-Integral-Derivative (PID) controllers used for benchmarking. Finally, adaptability of these controllers can be seen as a combination of four elements: mathematical model extensibility, cost matrices tuning, reduced computation time required and finally no prior knowledge of the navigation or guidance strategies needed. Further simulations in real planetary landing trajectories has shown that these controllers have the capacity of achieving landing errors in the order of pinpoint landing requirements, making them not only very precise UAV controllers, but also potential candidates for pinpoint landing unmanned missions.

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Trichard, Marc Henri. "Study of Trellis Coded Modulation and error control coding." Thesis, University of Ottawa (Canada), 1995. http://hdl.handle.net/10393/9658.

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In this thesis, we examine some general theoretical features of Trellis Coded Modulation. The codes in use are the recursive Ungerboeck convolutional codes and they are combined with Quadrature Amplitude Modulation over an Additive White Gaussian Noise channel. The search of optimum mappings is first treated and the question of having some smaller punctured constellations from a larger one is considered. Performance evaluation of TCM codes is provided according to geometric conditions that the mappings must stand in order to reduce the complexity of the calculation. Computation of transfer function is provided and this leads to a theoretical analysis for probability expressions of even, symbol and bit errors. A second order term expression is also elaborated which takes into consideration both error events on the trellis and errors on parallel transitions. Computer simulations have been run along with High Density Television transmission parameters. The results are presented and discussed. The use of error control coding techniques makes a great improvement in performance. For this purpose, Reed-Solomon codes have been concatenated with TCM codes, and gone through interleaving to ensure a higher error recovery efficiency.

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Shafer, Benjamin Michael. "Error sensor placement for active control of an axial cooling fan /." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd2119.pdf.

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Aissa, Sonia. "Robust image transmission over wireless CDMA channels using combined error-resilient source coding and channel error control." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq44343.pdf.

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Duke, Connor R. "Optimization of control source and error sensor locations in free field active noise control /." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd2087.pdf.

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Duke, Connor Raymond. "Optimization of Control Source and Error Sensor Locations in Free Field Active Noise Control." BYU ScholarsArchive, 2007. https://scholarsarchive.byu.edu/etd/1169.

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Previous work has shown that active noise control (ANC) can be applied to axial cooling fans. Optimization of the control source and error sensor placement is desired to maximize the attenuation using ANC. A genetic algorithm was developed to find the optimal placement of control sources for a given primary source. The optimal configuration of control sources around a single primary source was shown to be a linear arrangement of the sources. This holds true for both two-dimensional as well as three-dimensional configurations. The higher-order radiation of the linear arrangement has also been verified experimentally, but the improvement in the experimental apparatus was not as dramatic as the theoretical model. Multiple flow visualization techniques have been used to find optimal near field error sensor locations. When there is little obstruction to the flow field of the fan, minimal airflow is found along the near field null that is created by minimizing the sound power of the system. Surface mounting of the error sensors can lead to a small increase in the signal-to-noise ratio of the error sensors if vortices exist in the near field of the fan due to obstructions in the main flow. It has also been shown that the introduction of the ANC system does not affect the flow field of the fan.

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