Viterbi decoder MATLAB source code
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This section of MATLAB source code covers viterbi decoder matlab code including viterbi decoder specifications for convolutional encoder of constraint length 5. It mentions code snippet and steps to develop Viterbi decoder matlab code.
What is a punctured convolutional code? How does puncturing affect the free distance of the code? Using the zero-tail construction and the binary memory 2 rate ‰ code with generators (5,7), construct a binary linear block code C of dimension k =5. Determine (i) the length and minimum Hamming distance of code C (ii) the WDS A(x) of C. A Convolutional Encoder and Viterbi Decoder in C++. - xukmin/viterbi. GitHub is home to over 28 million developers working together to host and review code, manage projects, and build software together. This program implements both a Convolutional Encoder and a Viterbi Decoder in C++. Running ViterbiCodec. Compile: make. The convolutional encoder function accepts as arguments the pointers to the input and output arrays and the number of bits in the input array. It then performs the specified convolutional encoding and fills the output array with one/zero channel symbols. The convolutional code parameters are in the header file vdsim.h.
Specifications of convolutional encoder
Convolution Encoder (3, 1, 4) specifications
Coding rate: 1/3
Constraint length: 5
Output bit length: 3
Message bit length: 1
Maximal memory order / no. of memory elements = 4
Generator Polynomials: 25 (8), 33 (8), 37 (8)
Specifications of viterbi decoder
codeword length: 20
coding rate: 1/3
constraint length: 5
trace back length: 20
quantization levels: two (Hard decision type)
generator Polynomials: 25 (8), 33 (8), 37 (8)
This viterbi is designed for the above convolutional encoder specifications. Refer convolution encoder basics and Convolutional Encoder matlab code.
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Viterbi decoder MATLAB Code STEPS
%Make up a symbol.
STEP-2: Transition Table For Trace Back.
STEP-3:find the length of input and LOOP FOR NUMBER OF TIME UNITS.
STEP-4:CHECKING FOR REDUNDANT STATES
Viterbi decoder MATLAB Code
Following is the part of the viterbi decoder matlab code.
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%Concatenate three consecutive bits of received encoded sequence to
%Make up a symbol
input=[];
for j=1:3:length(rcvd)
input=[ input (rcvd(j)* 2^2) + (rcvd(j+1) * 2^1) + (rcvd(j+2) * 2^0)];
end
%%Initialize Ouput Table
Output_Table = [ ..
0 0 7; ..
1 7 0; ..
2 3 4; ..
3 4 3; ..
4 5 2; ..
5 2 5; ..
6 6 1; ..
7 1 6; ..
7 3 4; ..
8 4 3; ..
9 0 7; ..
10 7 0; ..
11 6 1; ..
12 1 6; ..
13 5 2; ..
14 2 5];
%%Initialize Next-State(Ouput State) Table
Next_State =[ ..
0 0 8; ..
1 0 8; ..
2 1 9; ..
3 1 9; ..
4 2 10; ..
5 2 10; ..
6 3 11; ..
7 3 11; ..
8 4 12; ..
9 4 12; ..
10 5 13; ..
11 5 13; ..
12 6 14; ..
13 6 14; ..
14 7 15; ..
15 7 15];
%T R A C E - B A C K
%%%%%%%%%%%%%%%%%%%
slm = min(aem(:, 21));
slm_loc =find( aem(:, 21)slm );
sseq(21) = (slm_loc(1)-1);
for t=20:-1:1
sseq(t) = State_Hist(sseq(t+1) + 1,t+1);
end
dec_op=[];
for k =1 : 20
dec_op(k) = Transition_Table(sseq(k)+1, sseq(k+1)+1);
end
RELATED LINKS
Register and download following paper:
https://www.academia.edu/5406231/
Design_and_Implementation_of_Convolution_Encoder_with_Viterbi_Decoder
https://apt.cs.manchester.ac.uk/ftp/pub/apt/theses/Shao07_phd.pdf
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