making use of the dip system toolbox write matlab code to decimate incoming signal by 12x in 4 stages using cic filters in matlab

To decimate an incoming signal by 12x in 4 stages using CIC (Cascade Integrator-Comb) filters in Matlab, you can make use of the Digital Signal Processing (DSP) System Toolbox. Here is an example Matlab code that demonstrates this process:

main.m
% Define the parameters for CIC filters
R = 12;         % Decimation factor
N = 4;          % Number of stages
M = R^N;        % Overall decimation factor

% Create an incoming signal (replace this with your own signal)
fs = 1000;                      % Original sample rate
t = 0:1/fs:1;                   % Time vector
x = sin(2*pi*10*t) + sin(2*pi*20*t) + sin(2*pi*50*t);

% Create a CIC Decimator object
decimator = dsp.CICDecimator('DecimationFactor', R, 'NumSections', N);

% Decimate the incoming signal in 4 stages using the CIC filters
y = decimator(x);

% Plot the original and decimated signals
subplot(2,1,1)
plot(t, x);
title('Original Signal');
xlabel('Time (s)');
ylabel('Amplitude');

subplot(2,1,2)
t_decimated = (0:length(y)-1)/(fs/M);
plot(t_decimated, y);
title('Decimated Signal');
xlabel('Time (s)');
ylabel('Amplitude');

845 chars
31 lines

Make sure you have the DSP System Toolbox installed in your Matlab instance to run this code. This code defines the decimation factor, number of stages, and overall decimation factor based on these parameters. It then generates an incoming signal (you can replace this with your own signal), creates a CIC Decimator object, and uses it to decimate the signal in 4 stages. Finally, it plots the original and decimated signals for visualization purposes.

Remember to adapt the code to your specific requirements, such as changing the incoming signal, sample rate, or adjusting the CIC filter parameters if needed.

gistlibby LogSnag