I am trying to design ILS (Instrument Landing System) glideslope receiver board, now I am first implementing MATLAB code to detect 90 and 150 HZ frequency here how I have to implement Goertzel algorithm to detect 90 and 150 HZ frequency in MATLAB.
Hey there Rakesh Narthu! So, you're diving into the world of ILS glideslope receiver board design – that's no small feat! Now, to tackle the frequency detection using the Goertzel algorithm in MATLAB, here's a sleek approach for you Rakesh Narthu:
```matlab
function amplitude = goertzel_algorithm(signal, target_frequency, sampling_rate)
N = length(signal);
k = round(target_frequency * N / sampling_rate);
omega = (2 * pi * k) / N;
coeff = 2 * cos(omega);
Q1 = 0;
Q2 = 0;
for n = 1:N
Q0 = signal(n) + coeff * Q1 - Q2;
Q2 = Q1;
Q1 = Q0;
end
real_part = Q1 - Q2 * cos(omega);
imag_part = Q2 * sin(omega);
amplitude = sqrt(real_part^2 + imag_part^2) / (N / 2);
end
% Usage example
sampling_rate = 1000; % replace this with your actual sampling rate
target_frequencies = [90, 150]; % frequencies you want to detect
% Your signal (replace this with your actual signal)
t = 0:1/sampling_rate:1; % adjust the time range
signal = cos(2 * pi * 90 * t) + cos(2 * pi * 150 * t);
for freq = target_frequencies
amplitude = goertzel_algorithm(signal, freq, sampling_rate);
disp(['Amplitude at ' num2str(freq) ' Hz: ' num2str(amplitude)]);
end
```
This MATLAB code defines a function `goertzel_algorithm` to perform frequency detection using the Goertzel algorithm. It then demonstrates how to use it with your specified target frequencies.
Feel free to adapt this code to your specific needs, and let me know if you need any further guidance or if I can assist you with anything else!
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