Cyclic Code Complete Example with Step by Step Solution
Cyclic Code Complete Example is explained with the following timecodes:
0:00 – Example
1:50 – Generator Matrix of Systematic Cyclic Code
10:49 – Codeword of Systematic Cyclic Code
13:41 – Parity Check Matrix of Systematic Cyclic Code
15:45 – Decoding Matrix of Systematic Cyclic Code
17:56 – Error Syndrome Matrix of Systematic Cyclic Code
22:54 – Error Correction of Systematic Cyclic Code
Cyclic Code Complete Example is explained with the following outlines:
1. Digital Communication
2. Block Codes
3. Cyclic Codes
4. Systematic Cyclic Code
5. Basics of Systematic Cyclic Code
6. Example of Systematic Cyclic Code
7. Cyclic Code Complete Example
Chapter-wise detailed Syllabus of the Digital Communication Course is as follows:
1. Introduction to Digital Communication: • Introduction to Digital Communication
Block Diagram of Digital Communication, Advantages and Disadvantages of Digital Communication, Scrambling Process and Solved Example, Regenerative Repeater, Eye Diagram, Inter Symbol Interference - ISI, Attenuation of Signal, Bit Rate and Baud Rate.
2. Digital Modulation Schemes: • Digital Modulation Schemes
Amplitude Shift Keying - ASK, Signal Space Diagram of ASK, Frequency Shift Keying - FSK, M Array FSK, Phase Shift Keying - PSK, Differential PSK - DPSK, Binary Phase Shift Keying - BPSK, Quadrature Phase Shift Keying - QPSK, Quadrature Amplitude Modulation - QAM, Minimum Shift Keying - MSK, Probability of Error in BPSK, BASK, and BFSK.
3. Sampling Theory: • Sampling Theory
Sampling Theory, Properties of Nyquist Rate, Sampling, Nyquist Rate and Aliasing Effect, Signal Recovery after Sampling Process, Sampling Theorem for Band Pass Signal, Ideal Sampling, Natural Sampling, Flat Top Sampling, Pulse Width Modulation - PWM, Pulse Position Modulation - PPM, Pulse Amplitude Modulation - PAM.
4. Quantization and PCM: • Quantization and PCM
Quantization Process, Dynamic Range of Quantization, SNR of Quantization, Uniform Quantization, Pulse Code Modulation - PCM, PCM Receiver, Quantization Error and SNR, PCM Solved Examples, Quantization Solved Examples, Non-Uniform Quantization, Companding in Quantization, 𝛍 Law Companding, A Law Companding, Data Rate of PCM in India and USA, Differential PCM - DPCM, SQNR of DPCM, Delta Modulation, SQNR of Delta Modulation, Adaptive Delta Modulation.
5. Line Coding: • Line Coding
Line Coding, Pulse Shaping Techniques (Polar, Unipolar and Bipolar), Basic Pulses (NRZ, RZ and Manchester), PSD of NRZ Unipolar Line Coding, PSD of NRZ Polar Line Coding, PSD of NRZ Bipolar Line Coding, PSD of Manchester Line Coding, Unipolar, Polar, Bipolar and Manchester Line Coding, Duobinary Signaling.
6. Information Theory and Coding: • Information Theory and Coding
Information Theory, Entropy, Shannon Fano Encoding, Huffman Coding, Lempel Zip Coding, Channel Capacity by Shannon Hartley.
7. Probability of Random Variables: • Probability of Random Variables
Venn Diagram, Probability of Random Variables, Probability Distribution Function - PDF, Cumulative Distribution Function - CDF, Examples of PDF and CDF, Mean, Variance and Standard Deviation of Random Variables, nth Moment and Central Moment of Random Variables, Chebyshev's Inequality.
8. Error Detection and Error Correction: • Error Detection and Error Correction
Introduction to Block Codes, Block Codes for Parity Check, Block Codes for Product Code, Block Codes for Repetition Code, Hamming Code, Linear Block Code, Cyclic Code, Non-Systematic Cyclic Code, Systematic Cyclic Code, Generator Matrix of Cyclic Code, Cyclic Redundancy Check - CRC, Convolutional Codes, Viterbi Algorithm.
9. Spread Spectrum: • Spread Spectrum
Spread Spectrum, Frequency Hopping Spread Spectrum - FHSS, Direct Sequency Spread Spectrum - DSSS.
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