Designing a DPCM encoder and decoder with a Quantization being either Mid-Rise or Mid-Tread

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Abdelrhman Abdelfatah 2022-12-6

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回答： Ganapathi Subramanian 2023-5-26

Hello,

I want to desing a DPCM encoder and decoder, and I need it to be more flexible in terms of Applications.

Thus, I want the Qunatization to be toggled to be either Mid-Rise or Mid-Tread. And, the Predictator to be either first order or second order based on the user's choice. I am still quite lost on how to do it, thus I would apprechiate any guidance.

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Answer 1

Ganapathi Subramanian 2023-5-26

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Hi Abdelrhman,

It is my understanding that you are working on Differential Pulse Code Modulation technique and wants to know how the quantization to be implemented either in Mid-Rise or Mid-Tread. Please refer to the below documentation to know about DPCM and ‘quantiz’ function as these are essential for implementing them.

https://www.mathworks.com/help/comm/ug/differential-pulse-code-modulation.html

https://www.mathworks.com/help/comm/ref/quantiz.html

Refer to the below code for implementing Mid-Rise uniform quantization.

% Sample signal 
x = [-3.5 -2.5 -0.9 1.3 2.6]; 
% Set number of quantization levels 
N = 8; 
% Set quantization step size 
Delta = 1 ; 
% Set quantization levels for midrise quantizer 
L = linspace(-4+(Delta/2),4-(Delta/2),N); 
% Perform midrise quantization 
x_quantized = quantiz(x, L, Delta); 
% Display results 
disp("Original Signal: "); 
disp(x); 
disp("Midrise Quantizer Levels: "); 
disp(L); 
disp("Quantized Signal: "); 
disp(x_quantized); 