Error Detection & Error Correction Capability of Linear Block Code in Digital Communication

Error Detection & Error Correction Capability of Linear Block Code with Example is explained by the following outlines:

0. Linear Block Code
1. Basics of Linear Block Code
2. Error Detection Capability of Linear Block Code
3. Error Correction Capability of Linear Block Code
4. Error Detection Capability of Linear Block Code with Example
5. Error Correction Capability of Linear Block Code With Example

Chapter-wise detailed Syllabus of the Digital Communication Course is as follows:

Block Diagram of Digital communication system, Advantages, and disadvantages of digital communication system, Scrambling, Regenerative Repeater, Eye Diagram, Attention of signal, Bit rate and Baud rate.

Amplitude Shift Keying ASK, Frequency Shift Keying FSK, Phase Shift Keying PSK, Differential Phase Shift keying DPSK, Quadrature Phase Shift Keying QPSK, Binary Phase Shift Keying BPSK, M array Frequency Shift Keying MFSK, Quadrature Amplitude Modulation QAM, Comparison of QAM and PSK.

Sampling, Aliasing, Nyquist rate, Types of sampling, Performance comparison of sampling, PWM - Pulse width modulation, PPM - Pulse Position modulation, Performance comparison of PAM, PWM and PPM, Quantization and its parameters, SNR of Quantization, Uniform Quantization, Pulse Code Modulation PCM, Nonuniform Quantization, Companding basics, A law and Mu law for Nonuniform quantization, Differential Pulse Code Modulation DPCM, Delta Modulation DM, Adaptive Delta Modulation ADM.

Examples on TDM, Examples on T1 carrier system.

Basic of Line Coding Techniques, Pulse shaping techniques, NRZ, RZ & Manchester coding, PSD of NRZ unipolar line coding scheme, PSD of NRZ polar line coding scheme, PSD of NRZ bipolar line coding scheme, PSD of Manchester polar line coding scheme, Comparison of Unipolar, Polar, Bipolar and Manchester Line coding scheme.

Basics of Information, Basics of Entropy, Shannon Fano Encoding, Huffman Coding, Lempel Ziv Coding, Shannon Hartley theorem, basics of probability, Random variables, Cumulative distribution function CDF, Probability Density function PDF.

Block Codes, Hamming Codes, Linear Block Codes, Cyclic Codes, Convolutional Codes, Code Trellis, Viterbi Algorithm, Block Codes for single parity checks, Block Codes for product codes, Block Codes for Repetition codes, Cyclic codes for a systematic codeword, Cyclic codes for nonsystematic codeword.

Basics of Spread Spectrum Modulation, Frequency Hoping Spread Spectrum FHSS, Direct Sequence Spread Spectrum DSSS.

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[calvinsaxon]

Your presentation is very clear. I'm not criticizing how you accomplished what you set out to accomplish, but for me, if given the formula, it's not hard to figure out error detection and error correction capacity for any dmin. The hard part is understanding WHY this is the case. It would be great if you had shown two actual codes and explained WHY it is true that we can detect/correct only up to a certain amount by assuming the contrary or some other technique. If, in a code with dmin=3, and char A = and char B = 001111 and I receive "000011", how can I correct even one error since I don't know if it's supposed to be A or B? Do you mean I "can" correct up to one error (but might not be able to)? It would be nice to make this clear as well: "can" detect as in "potentially in some cases (but not in others)" or "can" detect as in "will always be able to"?

[yashkulkarni]

thank you so much sir. very useful concept in DCOM

[PETAJOULE]

Error detection and error correction capability of the code explained well.

[commieTerminator]

what is the error correction capacity when dmin is an even number?

[nirajjayswal]

and what if Dmin=2 then how much the error correcting capability?

[vrj-uute]

1:25 Errection & Correction Capability 😂

[Tulasi_tulasi]

Sir how to calculate the minimum distance

[mananjagani]

can you upload the pdf and the slides of the notes from which you explain