This document provides information and formulas related to error control coding and binary cyclic codes. It begins with defining the code vector, message vector, parity check matrix, and generator matrix for error control coding. It then provides the parameters and capabilities for single error correcting Hamming codes. Finally, it presents formulas for non-systematic and systematic cyclic codes, including defining the remainder polynomial, parity check polynomial, and code vector formulations.
VTU E&C,TCE CBCS[NEW] 5th Sem Information Theory and Coding Module-1 notes(15...Jayanth Dwijesh H P
INFORMATION THEORY AND CODING
B.E., V Semester, Electronics & Communication
Engineering /Telecommunication Engineering
[As per Choice Based Credit System (CBCS) scheme]
Subject Code: 15EC54 and 17EC54
Module-1
Information Theory: Introduction, Measure of information, Information content of message, Average Information content of symbols in Long Independent sequences, Average Information content of symbols in Long dependent sequences, Markov Statistical Model of Information Sources, Entropy and Information rate of Mark-off Sources (Section 4.1, 4.2 of Text 1).
Question paper pattern:
The question paper will have ten questions
Each full question consists of 16marks.
There will be 2 full questions (with a maximum of four sub questions) from each module.
Each full question will have sub questions covering all the topics under a Module.
The students will have to answer 5 full questions, selecting one full question From each module.
Text Book:
1. Information Theory and Coding, Muralidhar Kulkarni , K.S. Shivaprakasha, Wiley India Pvt. Ltd, 2015, ISBN:978-81-265-5305-1
2. Digital and analog communication systems, K. Sam Shanmugam, John Wiley India Pvt. Ltd, 1996.
3. Digital communication, Simon Haykin, John Wiley India Pvt. Ltd, 2008.
Reference Books:
1. ITC and Cryptography, Ranjan Bose, TMH, II edition, 2007
2. Principles of digital communication, J. Das, S. K. Mullick, P. K. Chatterjee, Wiley, 1986 - Technology & Engineering
3. Digital Communications – Fundamentals and Applications, Bernard Sklar, Second Edition, Pearson Education, 2016, ISBN: 9780134724058.
4. Information Theory and Coding, K.N.Hari bhat, D.Ganesh Rao, Cengage Learning, 2017.
VTU E&C,TCE CBCS[NEW] 5th Sem Information Theory and Coding Module-5 notes(15...Jayanth Dwijesh H P
INFORMATION THEORY AND CODING
B.E., V Semester, Electronics & Communication
Engineering / Telecommunication Engineering
[As per Choice Based Credit System (CBCS) scheme]
Subject Code: 15EC54 & 17EC54
Module-5
Some Important Cyclic Codes: Golay Codes, BCH Codes (Section 8.4 – Article 5 of Text 3).
Convolution Codes: Convolution Encoder, Time domain approach, Transform domain approach, Code Tree, Trellis and State Diagram, The Viterbi Algorithm) (Section 8.5 – Articles 1,2 and 3, 8.6- Article 1 of Text 3).
Question paper pattern:
The question paper will have ten questions
Each full question consists of 16marks.
There will be 2 full questions (with a maximum of four sub questions) from each module.
Each full question will have sub questions covering all the topics under a Module.
The students will have to answer 5 full questions, selecting one full question From each module.
Text Book:
1. Information Theory and Coding, Muralidhar Kulkarni , K.S. Shivaprakasha, Wiley India Pvt. Ltd, 2015, ISBN:978-81-265-5305-1
2. Digital and analog communication systems, K. Sam Shanmugam, John Wiley India Pvt. Ltd, 1996.
3. Digital communication, Simon Haykin, John Wiley India Pvt. Ltd, 2008.
Reference Books:
1. ITC and Cryptography, Ranjan Bose, TMH, II edition, 2007
2. Principles of digital communication, J. Das, S. K. Mullick, P. K. Chatterjee, Wiley, 1986 - Technology & Engineering
3. Digital Communications – Fundamentals and Applications, Bernard Sklar, Second Edition, Pearson Education, 2016, ISBN: 9780134724058.
4. Information Theory and Coding, K.N.Hari bhat, D.Ganesh Rao, Cengage Learning, 2017.
VTU E&C,TCE CBCS[NEW] 5th Sem Information Theory and Coding Module-2 notes(15...Jayanth Dwijesh H P
INFORMATION THEORY AND CODING
B.E., V Semester, Electronics & Communication
Engineering / Telecommunication Engineering
[As per Choice Based Credit System (CBCS) scheme]
Subject Code:15EC54 and 17EC54
Module-2
Source Coding: Source coding theorem, Prefix Codes, Kraft McMillan Inequality property – KMI (Section 2.2 of Text 2).Encoding of the Source Output,Shannon’s Encoding Algorithm (Sections 4.3, 4.3.1 of Text 1).
Shannon Fano Encoding Algorithm, Huffman codes, Extended Huffman coding, Arithmetic Coding, Lempel – Ziv Algorithm (Sections 3.6, 3.7, 3.8, 3.10 of Text 3).
Question paper pattern:
The question paper will have ten questions
Each full question consists of 16marks.
There will be 2 full questions (with a maximum of four sub questions) from each module.
Each full question will have sub questions covering all the topics under a Module.
The students will have to answer 5 full questions, selecting one full question From each module.
Text Book:
1. Information Theory and Coding, Muralidhar Kulkarni , K.S. Shivaprakasha, Wiley India Pvt. Ltd, 2015, ISBN:978-81-265-5305-1
2. Digital and analog communication systems, K. Sam Shanmugam, John Wiley India Pvt. Ltd, 1996.
3. Digital communication, Simon Haykin, John Wiley India Pvt. Ltd, 2008.
Reference Books:
1. ITC and Cryptography, Ranjan Bose, TMH, II edition, 2007
2. Principles of digital communication, J. Das, S. K. Mullick, P. K. Chatterjee, Wiley, 1986 - Technology & Engineering
3. Digital Communications – Fundamentals and Applications, Bernard Sklar, Second Edition, Pearson Education, 2016, ISBN: 9780134724058.
4. Information Theory and Coding, K.N.Hari bhat, D.Ganesh Rao, Cengage Learning, 2017.
BCH codes, part of the cyclic codes, are very powerful error correcting codes widely used in the information coding techniques. This presentation explains these codes with an example.
A second important technique in error-control coding is that of convolutional coding . In this type of coding the encoder output is not in block form, but is in the form of an encoded
sequence generated from an input information sequence.
convolutional encoding is designed so that its decoding can be performed in some structured and simplified way. One of the design assumptions that simplifies decoding
is linearity of the code. For this reason, linear convolutional codes are preferred. The source alphabet is taken from a finite field or Galois field GF(q).
Convolution coding is a popular error-correcting coding method used in digital communications.
The convolution operation encodes some redundant information into the transmitted signal, thereby improving the data capacity of the channel.
Convolution Encoding with Viterbi decoding is a powerful FEC technique that is particularly suited to a channel in which the transmitted signal is corrupted mainly by AWGN.
It is simple and has good performance with low implementation cost.
VTU E&C,TCE CBCS[NEW] 5th Sem Information Theory and Coding Module-1 notes(15...Jayanth Dwijesh H P
INFORMATION THEORY AND CODING
B.E., V Semester, Electronics & Communication
Engineering /Telecommunication Engineering
[As per Choice Based Credit System (CBCS) scheme]
Subject Code: 15EC54 and 17EC54
Module-1
Information Theory: Introduction, Measure of information, Information content of message, Average Information content of symbols in Long Independent sequences, Average Information content of symbols in Long dependent sequences, Markov Statistical Model of Information Sources, Entropy and Information rate of Mark-off Sources (Section 4.1, 4.2 of Text 1).
Question paper pattern:
The question paper will have ten questions
Each full question consists of 16marks.
There will be 2 full questions (with a maximum of four sub questions) from each module.
Each full question will have sub questions covering all the topics under a Module.
The students will have to answer 5 full questions, selecting one full question From each module.
Text Book:
1. Information Theory and Coding, Muralidhar Kulkarni , K.S. Shivaprakasha, Wiley India Pvt. Ltd, 2015, ISBN:978-81-265-5305-1
2. Digital and analog communication systems, K. Sam Shanmugam, John Wiley India Pvt. Ltd, 1996.
3. Digital communication, Simon Haykin, John Wiley India Pvt. Ltd, 2008.
Reference Books:
1. ITC and Cryptography, Ranjan Bose, TMH, II edition, 2007
2. Principles of digital communication, J. Das, S. K. Mullick, P. K. Chatterjee, Wiley, 1986 - Technology & Engineering
3. Digital Communications – Fundamentals and Applications, Bernard Sklar, Second Edition, Pearson Education, 2016, ISBN: 9780134724058.
4. Information Theory and Coding, K.N.Hari bhat, D.Ganesh Rao, Cengage Learning, 2017.
VTU E&C,TCE CBCS[NEW] 5th Sem Information Theory and Coding Module-5 notes(15...Jayanth Dwijesh H P
INFORMATION THEORY AND CODING
B.E., V Semester, Electronics & Communication
Engineering / Telecommunication Engineering
[As per Choice Based Credit System (CBCS) scheme]
Subject Code: 15EC54 & 17EC54
Module-5
Some Important Cyclic Codes: Golay Codes, BCH Codes (Section 8.4 – Article 5 of Text 3).
Convolution Codes: Convolution Encoder, Time domain approach, Transform domain approach, Code Tree, Trellis and State Diagram, The Viterbi Algorithm) (Section 8.5 – Articles 1,2 and 3, 8.6- Article 1 of Text 3).
Question paper pattern:
The question paper will have ten questions
Each full question consists of 16marks.
There will be 2 full questions (with a maximum of four sub questions) from each module.
Each full question will have sub questions covering all the topics under a Module.
The students will have to answer 5 full questions, selecting one full question From each module.
Text Book:
1. Information Theory and Coding, Muralidhar Kulkarni , K.S. Shivaprakasha, Wiley India Pvt. Ltd, 2015, ISBN:978-81-265-5305-1
2. Digital and analog communication systems, K. Sam Shanmugam, John Wiley India Pvt. Ltd, 1996.
3. Digital communication, Simon Haykin, John Wiley India Pvt. Ltd, 2008.
Reference Books:
1. ITC and Cryptography, Ranjan Bose, TMH, II edition, 2007
2. Principles of digital communication, J. Das, S. K. Mullick, P. K. Chatterjee, Wiley, 1986 - Technology & Engineering
3. Digital Communications – Fundamentals and Applications, Bernard Sklar, Second Edition, Pearson Education, 2016, ISBN: 9780134724058.
4. Information Theory and Coding, K.N.Hari bhat, D.Ganesh Rao, Cengage Learning, 2017.
VTU E&C,TCE CBCS[NEW] 5th Sem Information Theory and Coding Module-2 notes(15...Jayanth Dwijesh H P
INFORMATION THEORY AND CODING
B.E., V Semester, Electronics & Communication
Engineering / Telecommunication Engineering
[As per Choice Based Credit System (CBCS) scheme]
Subject Code:15EC54 and 17EC54
Module-2
Source Coding: Source coding theorem, Prefix Codes, Kraft McMillan Inequality property – KMI (Section 2.2 of Text 2).Encoding of the Source Output,Shannon’s Encoding Algorithm (Sections 4.3, 4.3.1 of Text 1).
Shannon Fano Encoding Algorithm, Huffman codes, Extended Huffman coding, Arithmetic Coding, Lempel – Ziv Algorithm (Sections 3.6, 3.7, 3.8, 3.10 of Text 3).
Question paper pattern:
The question paper will have ten questions
Each full question consists of 16marks.
There will be 2 full questions (with a maximum of four sub questions) from each module.
Each full question will have sub questions covering all the topics under a Module.
The students will have to answer 5 full questions, selecting one full question From each module.
Text Book:
1. Information Theory and Coding, Muralidhar Kulkarni , K.S. Shivaprakasha, Wiley India Pvt. Ltd, 2015, ISBN:978-81-265-5305-1
2. Digital and analog communication systems, K. Sam Shanmugam, John Wiley India Pvt. Ltd, 1996.
3. Digital communication, Simon Haykin, John Wiley India Pvt. Ltd, 2008.
Reference Books:
1. ITC and Cryptography, Ranjan Bose, TMH, II edition, 2007
2. Principles of digital communication, J. Das, S. K. Mullick, P. K. Chatterjee, Wiley, 1986 - Technology & Engineering
3. Digital Communications – Fundamentals and Applications, Bernard Sklar, Second Edition, Pearson Education, 2016, ISBN: 9780134724058.
4. Information Theory and Coding, K.N.Hari bhat, D.Ganesh Rao, Cengage Learning, 2017.
BCH codes, part of the cyclic codes, are very powerful error correcting codes widely used in the information coding techniques. This presentation explains these codes with an example.
A second important technique in error-control coding is that of convolutional coding . In this type of coding the encoder output is not in block form, but is in the form of an encoded
sequence generated from an input information sequence.
convolutional encoding is designed so that its decoding can be performed in some structured and simplified way. One of the design assumptions that simplifies decoding
is linearity of the code. For this reason, linear convolutional codes are preferred. The source alphabet is taken from a finite field or Galois field GF(q).
Convolution coding is a popular error-correcting coding method used in digital communications.
The convolution operation encodes some redundant information into the transmitted signal, thereby improving the data capacity of the channel.
Convolution Encoding with Viterbi decoding is a powerful FEC technique that is particularly suited to a channel in which the transmitted signal is corrupted mainly by AWGN.
It is simple and has good performance with low implementation cost.
In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal. This is in contrast to the other major type of electronic filter, the analog filter, which is an electronic circuit operating on continuous-time analog signals.
This presentation covers noise performance of Continuous wave modulation systems; It explains modelling of white noise , noise figure of DSB-SC, SSB, AM, FM system
Convolution codes - Coding/Decoding Tree codes and Trellis codes for multiple...Madhumita Tamhane
In contrast to block codes, Convolution coding scheme has an information frame together with previous m information frames encoded into a single code word frame, hence coupling successive code word frames. Convolution codes are most important Tree codes that satisfy certain additional linearity and time invariance properties. Decoding procedure is mainly devoted to correcting errors in first frame. The effect of these information symbols on subsequent code word frames can be computed and subtracted from subsequent code word frames. Hence in spite of infinitely long code words, computations can be arranged so that the effect of earlier frames, properly decoded, on the current frame is zero.
Sampling Theorem, Quantization Noise and its types, PCM, Channel Capacity, Ny...Waqas Afzal
Sampling Theorem
Quantization
Noise and its types
Encoding-PCM
Power of Signal
Signal to noise Ratio
Channel Capacity
Nyquist Bandwidth
Shannon Capacity Formula
Multirate Digital Signal Processing-Up/Down Sampling
Applications
Fpga implementation of linear ldpc encodereSAT Journals
Abstract In this paper, a FPGA implementation of linear time LDPC encoder is presented. This encoder implementation can handle large size of input message. Linear Time encoder hardware architecture reduces the Complexity and area of encoder than generator matrix based encoder techniques. This encoder is simulated on different platform which includes Matlab & High level languages for 1/2 rate & up to 4096 code length. FPGA implementation of the encoder is done on Xilinx Spartan 3E Starter Kit. The result shows the speed & area comparison for different FPGA platform. Keywords— LDPC codes, dual-diagonal, Linear encoding, Generator matrix complexity, FPGA Implementation
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology
In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal. This is in contrast to the other major type of electronic filter, the analog filter, which is an electronic circuit operating on continuous-time analog signals.
This presentation covers noise performance of Continuous wave modulation systems; It explains modelling of white noise , noise figure of DSB-SC, SSB, AM, FM system
Convolution codes - Coding/Decoding Tree codes and Trellis codes for multiple...Madhumita Tamhane
In contrast to block codes, Convolution coding scheme has an information frame together with previous m information frames encoded into a single code word frame, hence coupling successive code word frames. Convolution codes are most important Tree codes that satisfy certain additional linearity and time invariance properties. Decoding procedure is mainly devoted to correcting errors in first frame. The effect of these information symbols on subsequent code word frames can be computed and subtracted from subsequent code word frames. Hence in spite of infinitely long code words, computations can be arranged so that the effect of earlier frames, properly decoded, on the current frame is zero.
Sampling Theorem, Quantization Noise and its types, PCM, Channel Capacity, Ny...Waqas Afzal
Sampling Theorem
Quantization
Noise and its types
Encoding-PCM
Power of Signal
Signal to noise Ratio
Channel Capacity
Nyquist Bandwidth
Shannon Capacity Formula
Multirate Digital Signal Processing-Up/Down Sampling
Applications
Fpga implementation of linear ldpc encodereSAT Journals
Abstract In this paper, a FPGA implementation of linear time LDPC encoder is presented. This encoder implementation can handle large size of input message. Linear Time encoder hardware architecture reduces the Complexity and area of encoder than generator matrix based encoder techniques. This encoder is simulated on different platform which includes Matlab & High level languages for 1/2 rate & up to 4096 code length. FPGA implementation of the encoder is done on Xilinx Spartan 3E Starter Kit. The result shows the speed & area comparison for different FPGA platform. Keywords— LDPC codes, dual-diagonal, Linear encoding, Generator matrix complexity, FPGA Implementation
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology
LDPC Encoding and Hamming Encoding using MATLAB.
An LDPC code is a linear block code characterised by a very sparse parity-check matrix. This means that the parity check matrix has a very low concentration of 1’s in it, hence the name is “low-density parity-check” code. The sparseness of LDPC codes is what as it can lead to excellent performance in terms of bit error rates.
Belief Propagation Decoder for LDPC Codes Based on VLSI Implementationinventionjournals
International Journal of Engineering and Science Invention (IJESI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJESI publishes research articles and reviews within the whole field Engineering Science and Technology, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
International Journal of Engineering Research and Development (IJERD)IJERD Editor
journal publishing, how to publish research paper, Call For research paper, international journal, publishing a paper, IJERD, journal of science and technology, how to get a research paper published, publishing a paper, publishing of journal, publishing of research paper, reserach and review articles, IJERD Journal, How to publish your research paper, publish research paper, open access engineering journal, Engineering journal, Mathemetics journal, Physics journal, Chemistry journal, Computer Engineering, Computer Science journal, how to submit your paper, peer reviw journal, indexed journal, reserach and review articles, engineering journal, www.ijerd.com, research journals,
yahoo journals, bing journals, International Journal of Engineering Research and Development, google journals, hard copy of journal
Low complexity design of non binary ldpc decoder using extended min-sum algor...eSAT Journals
Abstract
Low Density Parity Check (LDPC) codes, is a linear block code having the decoding performance closer to Shannon’s limit. Nonbinary
LDPC is the class of binary LDPC, which works on the higher order Galois field. The decoding performance of non-binary
(NB) LDPC is better than binary LDPC for moderate code lengths. The increased computation with the increased order of field is
the major challenge in hardware realization of NB-LDPC. The extension of conventional sum-product algorithm, known as
extended Min-Sum (EMS) algorithm, with reduced computational complexity is used in this paper. However, a tradeoff exists
between computational complexity and decoding performance.
This paper aims at reducing the computational complexity by focusing on the Parity Check Matrix (PCM) modifications. The
bottleneck of the design is large memory requirement and more computation intensive. The modification in the EMS algorithm
can be incorporated to design low complexity hardware architecture of NB-LDPC decoder.
Keywords—Non-binary; LDPC; EMS algorithm; PCM
How to calculte Cyclomatic Complexity through various methodsharsimratDeo
A brief description about cyclomatic complexity is given.Various methods along with an example is described to calculate it. Advantages and disadvantages are also mentioned.
Outsourcing of scientic computations is attracting increasing attention since it enables the customers with limited computing resource and storage devices to outsource the sophisticated computation workloads into powerful service providers. However, it also comes up with some security and privacy concerns and challenges, such as the input and output privacy of the customers, and cheating behaviors of the cloud. Motivated by these issues, this paper focused on privacy-preserving Linear Fractional Programming (LFP) as a typical and practically relevant case for veriable secure multiparty computation. We will investigate the secure and veriable schema with correctness guarantees, by using normal multiparty techniques to compute the result of a computation and then using veriable techniques only to verify that this result was correct.
New Blind Muti-signature Schemes based on ECDLP IJECEIAES
In various types of electronic transactions, including election systems and digital cash schemes, user anonymity and authentication are always required. Blind signatures are considered the most important solutions to meeting these requirements. Many studies have focused on blind signature schemes; however, most of the studied schemes are single blind signature schemes. Although blind multi-signature schemes are available, few studies have focused on these schemes. In this article, blind multi-signature schemes are proposed based on the Elliptic Curve Discrete Logarithm Problem (ECDLP). The proposed schemes are based on the GOST R34.10-2012 digital signature standard and the EC-Schnorr digital signature scheme, and they satisfy blind multi-signature security requirements and have better computational performance than previously proposed schemes. The proposed schemes can be applied in election systems and digital cash schemes.
In this paper, low linear architectures for analyzing the first two maximum or minimum values are of paramount importance in several uses, including iterative decoders. The min-sum giving out step is to that it produces only two diverse output magnitude values irrespective of the number of incoming bit-to check communication. These new micro-architecture structures would utilize the minimum number of comparators by exploiting the concept of survivors in the search. These would result in reduced number of comparisons and consequently reduced energy use. Multipliers are complex units and play an important role in finding the overall area, speed and power consumption of digital designs. By using the multiplier we can minimize the parameters like latency, complexity and power consumption. The decoding algorithms we propose generalize and unify the decoding schemes originally presented the product codes and those of low-density parity-check codes.
Similar to VTU CBCS E&C 5th sem Information theory and coding(15EC54) Module -4 notes (20)
VTU E&C,TCE CBCS[NEW] 5th Sem Information Theory and Coding Module-4 notes(15...Jayanth Dwijesh H P
INFORMATION THEORY AND CODING
B.E., V Semester, Electronics & Communication Engineering /
Telecommunication Engineering
[As per Choice Based Credit System (CBCS) scheme]
Subject Code:15EC54 and 17EC54
Module-4
Error Control Coding:
Introduction, Examples of Error control coding, methods of Controlling Errors, Types of Errors, types of Codes, Linear Block Codes: matrix description of Linear Block Codes, Error Detection and Error Correction Capabilities of Linear Block Codes, Single Error Correcting hamming Codes, Table lookup Decoding using Standard Array.
Binary Cyclic Codes:
Algebraic Structure of Cyclic Codes, Encoding using an (n-k) Bit Shift register, Syndrome Calculation, Error Detection and Correction (Sections 9.1, 9.2, 9.3, 9.3.1, 9.3.2, 9.3.3 of Text 1).
Question paper pattern:
The question paper will have ten questions
Each full question consists of 16marks.
There will be 2 full questions (with a maximum of four sub questions) from each module.
Each full question will have sub questions covering all the topics under a Module.
The students will have to answer 5 full questions, selecting one full question From each module.
Text Book:
1. Information Theory and Coding, Muralidhar Kulkarni , K.S. Shivaprakasha, Wiley India Pvt. Ltd, 2015, ISBN:978-81-265-5305-1
2. Digital and analog communication systems, K. Sam Shanmugam, John Wiley India Pvt. Ltd, 1996.
3. Digital communication, Simon Haykin, John Wiley India Pvt. Ltd, 2008.
Reference Books:
1. ITC and Cryptography, Ranjan Bose, TMH, II edition, 2007
2. Principles of digital communication, J. Das, S. K. Mullick, P. K. Chatterjee, Wiley, 1986 - Technology & Engineering
3. Digital Communications – Fundamentals and Applications, Bernard Sklar, Second Edition, Pearson Education, 2016, ISBN: 9780134724058.
4. Information Theory and Coding, K.N.Hari bhat, D.Ganesh Rao, Cengage Learning, 2017.
VTU E&C,TCE CBCS[NEW]5th Sem Information Theory and Coding Module-3 notes(15&...Jayanth Dwijesh H P
INFORMATION THEORY AND CODING
B.E., V Semester, Electronics & Communication
Engineering / Telecommunication Engineering
[As per Choice Based Credit System (CBCS) scheme]
Subject Code:15EC54 and 17EC54
Module-3
Information Channels: Communication Channels ( Section 4.4 of Text 1). Channel Models, Channel Matrix, Joint probabilty Matrix, Binary Symmetric Channel, System Entropies, Mutual Information, Channel Capacity, Channel Capacity of : Binary Symmetric Channel, Binary Erasure Channel, Muroga,s Theorem, Contineuos Channels (Sections 4.2, 4.3, 4.4, 4.6, 4.7 of Text 3).
Question paper pattern:
The question paper will have ten questions
Each full question consists of 16marks.
There will be 2 full questions (with a maximum of four sub questions) from each module.
Each full question will have sub questions covering all the topics under a Module.
The students will have to answer 5 full questions, selecting one full question From each module.
Text Book:
1. Information Theory and Coding, Muralidhar Kulkarni , K.S. Shivaprakasha, Wiley India Pvt. Ltd, 2015, ISBN:978-81-265-5305-1
2. Digital and analog communication systems, K. Sam Shanmugam, John Wiley India Pvt. Ltd, 1996.
3. Digital communication, Simon Haykin, John Wiley India Pvt. Ltd, 2008.
Reference Books:
1. ITC and Cryptography, Ranjan Bose, TMH, II edition, 2007
2. Principles of digital communication, J. Das, S. K. Mullick, P. K. Chatterjee, Wiley, 1986 - Technology & Engineering
3. Digital Communications – Fundamentals and Applications, Bernard Sklar, Second Edition, Pearson Education, 2016, ISBN: 9780134724058.
4. Information Theory and Coding, K.N.Hari bhat, D.Ganesh Rao, Cengage Learning, 2017.
NETWORK SECURITY
UNIT - 1
Services, mechanisms and attacks, The OSI security architecture, A model for network security. 6 Hrs
UNIT - 2
SYMMETRIC CIPHERS: Symmetric Cipher Model, Substitution Techniques, Transposition Techniques, Simplified DES, Data encryption standard (DES), The strength of DES, Differential and Linear Cryptanalysis, Block Cipher Design Principles and Modes of Operation, Evaluation Criteria for Advanced Encryption Standard, The AES Cipher. 7 Hrs
UNIT - 3
Principles of Public-Key Cryptosystems, The RSA algorithm, Key Management, Diffie - Hellman Key Exchange, Elliptic Curve Arithmetic, Authentication functions, Hash Functions. 6 Hrs
UNIT - 4
Digital signatures, Authentication Protocols, Digital Signature Standard. 7 Hrs
UNIT - 5
Web Security Consideration, Security socket layer (SSL) and Transport layer security, Secure Electronic Transaction. 6 Hrs
UNIT - 6
Intruders, Intrusion Detection, Password Management. 6 Hrs
UNIT - 7
MALICIOUS SOFTWARE: Viruses and Related Threats, Virus Countermeasures. 7 Hrs
UNIT - 8
Firewalls Design Principles, Trusted Systems. 6 Hrs
TEXT BOOK:
1. Cryptography and Network Security, William Stalling, Pearson Education, 2003.
REFERENCE BOOKS:
1. Cryptography and Network Security, Behrouz A. Forouzan, TMH, 2007.
2. Cryptography and Network Security, Atul Kahate, TMH, 2003.
UNIT - 2
SYMMETRIC CIPHERS: Symmetric Cipher Model, Substitution Techniques,
Transposition Techniques, Simplified DES, Data encryption standard (DES), The strength of
DES, Differential and Linear Cryptanalysis, Block Cipher Design Principles and Modes of
Operation, Evaluation Criteria for Advanced Encryption Standard, The AES Cipher.
UNIT - 1
Services, mechanisms and attacks, The OSI security architecture, A model for
network security.
TEXT BOOK:
1. Cryptography and Network Security, William Stalling, Pearson Education, 2003.
REFERENCE BOOKS:
1. Cryptography and Network Security, Behrouz A. Forouzan, TMH, 2007.
2. Cryptography and Network Security, Atul Kahate, TMH, 2003.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
VTU CBCS E&C 5th sem Information theory and coding(15EC54) Module -4 notes
1. INFORMATION THEORY AND
CODING
5th SEM E&C
JAYANTHDWIJESH H P M.tech (DECS)
Assistant Professor – Dept of E&C
B.G.S INSTITUTE OF TECHNOLOGY (B.G.S.I.T)
B.G Nagara, Nagamangala Tq, Mandya District- 571448
2. FORMULAS FOR REFERENCE
MODULE – 4 (error control coding and binary cyclic codes)
Chapter -1 error control coding
The code vector is given by
[C]= [D] [G]
The Message vector is given by
𝟐 𝒌
The Parity check matrix is given by
[H]= [ 𝑷 𝑻
: 𝑰 𝒏−𝒌 ] or [ 𝑰 𝒏−𝒌 : 𝑷 𝑻
]
The generator matrix is given by
[G]= [𝑰 𝑲: P] or [𝑷 ∶ 𝑰 𝑲]
The syndrome is given by
S=R𝑯 𝑻
or r𝑯 𝑻
The corrected code vector is given by
C=R+E
The single error correcting (n, k) Hamming code has the following parameters
Code length: n 𝟐 𝒏−𝒌−𝟏
Number of message bits : k n-𝒍𝒐𝒈 𝟐 (n+1)
Number of parity check bits: (n-k)
Error correcting capability: t =
𝒅 𝒎𝒊𝒏 − 𝟏
𝟐
Error correcting capability: 𝒅 𝒎𝒊𝒏 − 𝟏
𝑯 𝑻
is given by
𝑯 𝑻
= [
𝑷
𝑰 𝒏−𝒌
] or [
𝒅 𝒌 𝑿 (𝒏−𝒌)
𝑰 𝒏−𝒌
]
HAMMING BOUND (perfect code or not)
𝟐 𝒏−𝒌
𝐂𝐢
𝐧𝒕
𝒊=𝟎
3. Chapter-2 binary cyclic codes
The Non systematic cyclic code vector is given by
V(X) =D(X) g(X)
The systematic cyclic :
The remainder polynomial R(X) is given by
R(X) =
𝑫 𝑿 𝑿 𝒏−𝒌
𝒈(𝑿)
The code vector is given by
[V] = [R][D]
The parity check polynomial is given by
h (x) =𝒙 𝟕
+1 / g(x)
The code vector is given by
[V] = [R][D]