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Differential Pulse Code Modulation DPCM Explained using MATLAB | ADC 4.13

Differential Pulse Code Modulation DPCM explained and a how to do dpcm using MATLAB (code in description) simulation is the content of this video. DPCM is basically a signal encoder which uses the baseline of pulse code modulation PCM but adds some functionalities based on the prediction of the samples of the signal. % DPCM implementation by Ahmad Kamal Hassan clear all; close all; clc rng(1,'twister') % For reproducibility k = 0:1:10; %Time Index x_k = [randn(1,11)]; %Random Numbers figure(1) stem(k,x_k,'r') xlabel('time index [k]'); ylabel('Amplitude') keyboard %%%%%%Transmitter Side x_kdelay = [0 x_k(1:end-1)]; %Delay by 1 unit d_k = x_k - x_kdelay; figure(2) stem(k,d_k, 'b') xlabel('time index [k]'); ylabel('Amplitude') hold on keyboard %Quantization Level L = 2^n, n=2 dq_tx = []; for i1 = 1:11 if (d_k(i1) %=1) % Correct the greater than sign dqe = 1.5; elseif (d_k(i1) %=0) % Correct the greater than sign dqe = 0.5; elseif (d_k(i1) %=-1) % Correct the greater than sign dqe = -0.5; else (d_k(i1) %-1); % Correct the greater than sign dqe = -1.5; end dq_tx = [dq_tx dqe]; end stem(k,dq_tx,'g') keyboard %%%%%%Reciver pred = 0; x_hat = []; for i2 = 1:11 x_ind = pred +dq_tx(i2); x_hat = [x_hat x_ind]; pred = x_ind; end figure (3) stem(k,x_k,'r') hold on stem(k,x_hat, 'm') xlabel('time index [k]'); ylabel('Amplitude') keyboard % Quantization Noise q_n = x_k - x_hat; figure(4) plot(k,q_n) xlabel('time index [k]'); ylabel('Quantization Error')