MATLAB code for FIR filter design in rectangular window using genetic algorithm?

Answer 1

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Answer 2

Here is an example MATLAB code for designing an FIR filter with a rectangular window using a genetic algorithm:

% Define the desired filter specifications
Fs = 1000;          % Sampling frequency
Fc = 100;           % Cutoff frequency
N = 51;             % Filter order

% Define the fitness function for the genetic algorithm
fitnessFunc = @(x) designFIR(x, Fs, Fc);

% Define the genetic algorithm options
options = optimoptions('ga', 'Display', 'iter', 'MaxGenerations', 100);

% Run the genetic algorithm to find the optimal filter coefficients
[x, fval] = ga(fitnessFunc, N, options);

% Design the FIR filter using the obtained coefficients
filter = fir1(N-1, x);

% Plot the frequency response of the designed filter
freqz(filter, 1, 1024, Fs);

In the above code, designFIR is a user-defined function that evaluates the fitness of an FIR filter design based on its frequency response. The genetic algorithm is then used to optimize the filter coefficients to meet the desired specifications. Finally, the designed filter is plotted using the freqz function.