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Performance Optimization of Polar Code for Mobile Communication Application

Performance Optimization of Polar Code for Mobile Communication Application
Author: Makarand Mohan Jadhav
Publisher: Classicsbooks
Total Pages: 0
Release: 2023-09-18
Genre:
ISBN:

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Two important topics of information theory are compression and error correction codes. These are known as source and channel coding techniques. Source coding helps to compress the data and improves bandwidth utilization. Channel coding adds redundancy to make data more reliable. Error correction coding is the means whereby errors can be detected and corrected using redundant bits. Error correction codes are of two types, forward error correction and automatic repeat request. Mobile communications have seminal importance in present telecommunication systems. Wireless transmission is used to convey data between user end and base stations. The communication errors are caused due to noise, interference and poor signal strength. Mobile communication system presently uses Turbo channel code to detect and correct errors. Presently, there is a high demand for mobile services and its applications. Usage of smart phones has increased largely and that is demanding higher data rate and large network capacity to meet intensive service requirements. This demands large bandwidth which is limited and valuable resource. The requirements to support real time voice communication in mobile system with different available standards are Bit Error Rate and Latency. Further, the capacity to scale up in channels, coverage area and seamless integration of Polar-code based systems with minimum design efforts are thrust areas. Shannon, pioneer of information theory expressed in year 1948, that data can be transmitted reliably through the channel at maximal possible rate. The prime goal of coding theory since 1948 till date is to design a practical error correcting coding scheme that can be implemented in real time communication. The work focuses on developing such practical Polarcode based system. Polar-codes was introduced by Erdal Arikan in 2009. The application considered in present work is voice and data for mobile communication. Polar-code is used along with spectrum efficient MPSK modulation techniques in the presence of additive white Gaussian noise. The main objective is to increase the number of users with same bandwidth. Simulation is carried out to optimize the Power, Bandwidth and Latency parameters for acceptable Bit Error Rate of 10-4. Taguchi and Response Surface Methodology techniques are used for performance optimization using Polar-code. A single transmission time interval mechanism is used for circuit switching technique. Based on this, a Polar-code based OFDM system is simulated with 12 subcarriers. It is observed that the SNR required to achieve BER of 10-4 is 5.84 dB, 12.62 dB, 18.84 dB for QPSK, 8 PSK and 16 PSK modulations respectively. To extend the applicability to packet switching technique with BER of 10-4, three transmission time intervals mechanism is simulated with Polar-code OFDM system. The SNR of 2.84 dB, 9.62 dB, 15.84 dB is obtained for QPSK, 8 PSK and 16 PSK modulations respectively. The experimentation has been carried on a frame of length 528 bits with QPSK and 16 PSK OFDM system. Here Polar-code is used for bit error correction and CRC of 8-bit, for frame error detection. The frame error rate considered is of 10-3 and 10-4. This system provides link utilization of 32.43% and 32.46 % for data rate of 100 Mbps. With 10 Mbps data rate, link utilization achieved is 75% and 83.32 %.


Code Optimization and Analysis for Multiple-input and Multiple-output Communication Systems

Code Optimization and Analysis for Multiple-input and Multiple-output Communication Systems
Author: Guosen Yue
Publisher:
Total Pages:
Release: 2005
Genre:
ISBN:

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Design and analysis of random-like codes for various multiple-input and multiple-output communication systems are addressed in this work. Random-like codes have drawn significant interest because they offer capacity-achieving performance. We first consider the analysis and design of low-density parity-check (LDPC) codes for turbo multiuser detection in multipath CDMA channels. We develop techniques for computing the probability density function (pdf) of the extrinsic messages at the output of the soft-input soft-output (SISO) multiuser detectors as a function of the pdf of input extrinsic messages, user spreading codes, channel impulse responses, and signal-to-noise ratios. Using these techniques, we are able to accurately compute the thresholds for LDPC codes and design good irregular LDPC codes. We then apply the tools of density evolution with mixture Gaussian approximations to optimize irregular LDPC codes and to compute minimum operational signal-to-noise ratios for ergodic MIMO OFDM channels. In particular, the optimization is done for various MIMO OFDM system configurations which include different number of antennas, different channel models and different demodulation schemes. We also study the coding-spreading tradeoff in LDPC coded CDMA systems employing multiuser joint decoding. We solve the coding-spreading optimization based on the extrinsic information SNR evolution curves for the SISO multiuser detectors and the SISO LDPC decoders. Both single-cell and multi-cell scenarios will be considered. For each of these cases, we will characterize the extrinsic information for both finite-size systems and the so-called large systems where asymptotic performance results must be evoked. Finally, we consider the design optimization of irregular repeat accumulate (IRA) codes for MIMO communication systems employing iterative receivers. We present the density evolution-based procedure with Gaussian approximation for optimizing the IRA code ensemble. We adopt an approximation method based on linear programming to design an IRA code with the extrinsic information transfer (EXIT) chart matched to that of the soft MIMO demodulator.


Joint Source-Channel Decoding

Joint Source-Channel Decoding
Author: Pierre Duhamel
Publisher: Academic Press
Total Pages: 337
Release: 2009-11-26
Genre: Technology & Engineering
ISBN: 0080922449

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Treats joint source and channel decoding in an integrated way Gives a clear description of the problems in the field together with the mathematical tools for their solution Contains many detailed examples useful for practical applications of the theory to video broadcasting over mobile and wireless networks Traditionally, cross-layer and joint source-channel coding were seen as incompatible with classically structured networks but recent advances in theory changed this situation. Joint source-channel decoding is now seen as a viable alternative to separate decoding of source and channel codes, if the protocol layers are taken into account. A joint source/protocol/channel approach is thus addressed in this book: all levels of the protocol stack are considered, showing how the information in each layer influences the others. This book provides the tools to show how cross-layer and joint source-channel coding and decoding are now compatible with present-day mobile and wireless networks, with a particular application to the key area of video transmission to mobiles. Typical applications are broadcasting, or point-to-point delivery of multimedia contents, which are very timely in the context of the current development of mobile services such as audio (MPEG4 AAC) or video (H263, H264) transmission using recent wireless transmission standards (DVH-H, DVB-SH, WiMAX, LTE). This cross-disciplinary book is ideal for graduate students, researchers, and more generally professionals working either in signal processing for communications or in networking applications, interested in reliable multimedia transmission. This book is also of interest to people involved in cross-layer optimization of mobile networks. Its content may provide them with other points of view on their optimization problem, enlarging the set of tools which they could use. Pierre Duhamel is director of research at CNRS/ LSS and has previously held research positions at Thomson-CSF, CNET, and ENST, where he was head of the Signal and Image Processing Department. He has served as chairman of the DSP committee and associate Editor of the IEEE Transactions on Signal Processing and Signal Processing Letters, as well as acting as a co-chair at MMSP and ICASSP conferences. He was awarded the Grand Prix France Telecom by the French Science Academy in 2000. He is co-author of more than 80 papers in international journals, 250 conference proceedings, and 28 patents. Michel Kieffer is an assistant professor in signal processing for communications at the Université Paris-Sud and a researcher at the Laboratoire des Signaux et Systèmes, Gif-sur-Yvette, France. His research interests are in joint source-channel coding and decoding techniques for the reliable transmission of multimedia contents. He serves as associate editor of Signal Processing (Elsevier). He is co-author of more than 90 contributions to journals, conference proceedings, and book chapters. Treats joint source and channel decoding in an integrated way Gives a clear description of the problems in the field together with the mathematical tools for their solution Contains many detailed examples useful for practical applications of the theory to video broadcasting over mobile and wireless networks


High-Speed Decoders for Polar Codes

High-Speed Decoders for Polar Codes
Author: Pascal Giard
Publisher: Springer
Total Pages: 108
Release: 2017-08-30
Genre: Computers
ISBN: 3319597825

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A new class of provably capacity achieving error-correction codes, polar codes are suitable for many problems, such as lossless and lossy source coding, problems with side information, multiple access channel, etc. The first comprehensive book on the implementation of decoders for polar codes, the authors take a tutorial approach to explain the practical decoder implementation challenges and trade-offs in either software or hardware. They also demonstrate new trade-offs in latency, throughput, and complexity in software implementations for high-performance computing and GPGPUs, and hardware implementations using custom processing elements, full-custom application-specific integrated circuits (ASICs), and field-programmable-gate arrays (FPGAs). Presenting a good overview of this research area and future directions, High-Speed Decoders for Polar Codes is perfect for any researcher or SDR practitioner looking into implementing efficient decoders for polar codes, as well as students and professors in a modern error correction class. As polar codes have been accepted to protect the control channel in the next-generation mobile communication standard (5G) developed by the 3GPP, the audience includes engineers who will have to implement decoders for such codes and hardware engineers designing the backbone of communication networks.


Error Detecting Codes

Error Detecting Codes
Author: Torleiv Kløve
Publisher: Springer Science & Business Media
Total Pages: 272
Release: 1995-09-30
Genre: Technology & Engineering
ISBN: 9780792396291

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Error detecting codes are very popular for error control in practical systems for two reasons. First, such codes can be used to provide any desired reliability of communication over any noisy channel. Second, implementation is usually much simpler than for a system using error correcting codes. To consider a particular code for use in such a system, it is very important to be able to calculate or estimate the probability of undetected error. For the binary symmetric channel, the probability of undetected error can be expressed in terms of the weight distribution of the code. The first part of the book gives a detailed description of all known methods to calculate or estimate the probability of undetected error, for the binary symmetric channel in particular, but a number of other channel models are also considered. The second part of the book describes a number of protocols for feedback communication systems (ARQ systems), with methods for optimal choice of error detecting codes for the protocols. Results have been collected from many sources and given a unified presentation. The results are presented in a form which make them accessible to the telecommunication system designer as well as the coding theory researcher and student. The system designer may find the presentation of CRC codes as well as the system performance analysis techniques particularly useful. The coding theorist will find a detailed account of a part of coding theory which is usually just mentioned in most text books and which contains a number of interesting and useful results as well as many challenging open problems. Audience: Essential for students, practitioners and researchers working in communications and coding theory. An excellent text for an advanced course on the subject.


Polar Codes

Polar Codes
Author: Orhan Gazi
Publisher: Springer
Total Pages: 174
Release: 2018-06-08
Genre: Technology & Engineering
ISBN: 9811307377

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This book explains the philosophy of the polar encoding and decoding technique. Polar codes are one of the most recently discovered capacity-achieving channel codes. What sets them apart from other channel codes is the fact that polar codes are designed mathematically and their performance is mathematically proven. The book develops related fundamental concepts from information theory, such as entropy, mutual information, and channel capacity. It then explains the successive cancellation decoding logic and provides the necessary formulas, moving on to demonstrate the successive cancellation decoding operation with a tree structure. It also demonstrates the calculation of split channel capacities when polar codes are employed for binary erasure channels, and explains the mathematical formulation of successive cancellation decoding for polar codes. In closing, the book presents and proves the channel polarization theorem, before mathematically analyzing the performance of polar codes.


Polarization and Polar Codes

Polarization and Polar Codes
Author: Eren Şaşoǧlu
Publisher: Now Pub
Total Pages: 136
Release: 2012
Genre: Computers
ISBN: 9781601985965

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Polarization and Polar Codes: A Tutorial is the first in-depth tutorial on this exciting new technique that promises to offer major improvements in digital communications systems."


Polar Codes: from Theory to Practice

Polar Codes: from Theory to Practice
Author: Rowshan
Publisher: Wiley-Blackwell
Total Pages: 0
Release: 2024-09-26
Genre:
ISBN: 9781119911739

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Channel Coding Techniques for Wireless Communications

Channel Coding Techniques for Wireless Communications
Author: K. Deergha Rao
Publisher: Springer Nature
Total Pages: 484
Release: 2019-11-22
Genre: Mathematics
ISBN: 9811505616

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This book discusses the latest channel coding techniques, MIMO systems, and 5G channel coding evolution. It provides a comprehensive overview of channel coding, covering modern techniques such as turbo codes, low-density parity-check (LDPC) codes, space–time coding, polar codes, LT codes, and Raptor codes as well as the traditional codes such as cyclic codes, BCH, RS codes, and convolutional codes. It also explores MIMO communications, which is an effective method for high-speed or high-reliability wireless communications. It also examines the evolution of 5G channel coding techniques. Each of the 13 chapters features numerous illustrative examples for easy understanding of the coding techniques, and MATLAB-based programs are integrated in the text to enhance readers’ grasp of the underlying theories. Further, PC-based MATLAB m-files for illustrative examples are included for students and researchers involved in advanced and current concepts of coding theory.