Systematic Generator Matrix and Conversion of Non Systematic generator Matrix into Systematic Matrix

Systematic Generator Matrix and Conversion of Non Systematic generator Matrix into Systematic Matrix in Linear Block Code with example is explained by the following outlines:

0. Linear Block Code
1. Basics of Linear Block Code
2. Systematic Generator Matrix in Linear Block Code
3. Conversion of Non Systematic generator Matrix into Systematic Matrix
4. Example of Linear Block Code

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.

Engineering Funda channel is all about Engineering, Technology, and Science. This video is a part of Digital communication.

#ErrorCoding #BlockCodes #DigitalCommunication @EngineeringFunda

[EngineeringFunda]

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[wolfboos]

Thanks, although there were a few mistakes here and there, you quickly fixed them and explained why.
This makes so much more sense now, I pretty much understood what you said.


Also, for those who don't get why at 8:40 he added R3 to R1...
The way I understand it is that in order to fix R3, you should use R2.
And in order to correct R1, you should use R3.
And finally, in order to correct R2 (if it was false), you should use R1.
That's why at 6:14 he said "we need to know who is correct first".
(Of course this would be slightly different depending on if the generator had more or less rows)


Thanks again.

[Evowar]

You are the best and you saved me from my agonizing university course. Thank you.

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[aboozix]

Adding R1+R3 won’t give the same as moving the last column instead of the second column which would make R1 equals 10010 not 10011 !

[lesanimauxaquatiques]

Thank you for this explanation. Could you please explain why we can add a row to another row in the generator matrix and still be a valid generator matrix ? Thanks in advance

[kudipudipraneeth]

9:47, why we only perform row operation?, can i perform column operation also?
And one more doubt, while multipling two matrixs instead of addition you used EXOR operation ?
Thanks for making videos ❤❤❤❤❤❤❤❤❤❤❤❤

[seupedits]

For all of you those confused at 8:40 its actually 'xor' operations not 'or'
This makes full sense..

[SunnySingh-smvs]

sir, can you upload a video on Galva field...! And, thank you so much for explaining in very easy laguage.

[jhansilakshmi]

Sir, Your videos are very good to learn & please provide the topic " algebriac structure of convolution codes "

[anugodly]

For non systematic we will be performing xor addition right

[AnthonyAllieo]

What is the motivation to convert a non-systematic generator matrix to a systematic matrix? Thanks.

[Bil-Tiger]

By adding R2 and R3 new row values is '0 0 1 1 1' not '0 0 1 1 0' correct it otherwise it is not the correct systematic Generator matrix.

[bipulsingh]

sir in gmatrix also i1, i2---- in is ther and in multiplyin also we are multiplying with same is ther diffrenc

[bipulsingh]

sir in row transformation normal add will haapen on xor gate transformation

[venkataraomedara]

R2 is correct and R1 and R2 is false so we add for r3 we add r2 and r3 for r1 we add r1 and r3 if r1 and r2 is wrong which row add to get identity matrix

[LarryRichardson]

I thought the parity matrix needed to contain unique values, which the final version of the systematic matrix does not. There are two (1, 1) pairs.

[shrinand]

What if any of the rows are not correct

[saranshbhole]

sir, can you upload a video on Galva field...! And, thank you so much for explaining in very easy laguage.