create matlab program to track 3 targets using an lfm waveform in matlab

To create a MATLAB program to track 3 targets using an LFM (Linear Frequency Modulated) waveform in MATLAB, you can follow these steps:

  1. Generate the LFM waveform:
main.m
fs = 1e6; % Sampling frequency
T = 1/fs; % Sampling period
fStart = 20e3; % Start frequency of the LFM waveform
fStop = 80e3; % Stop frequency of the LFM waveform
t = 0:T:0.1; % Time vector from 0 to 0.1 second
lfmWaveform = chirp(t, fStart, t(end), fStop, 'linear');
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  1. Generate the received signals from the targets:
main.m
targetsPos = [100, 500, 800]; % Positions of the 3 targets
targetsVel = [10, -20, 15]; % Velocities of the 3 targets
receivedSignals = zeros(1, length(t));
for i = 1:3
    timeDelay = 2 * targetsPos(i) / 3e8; % Time delay for the target
    dopplerShift = 2 * targetsVel(i) / 3e8 * fStart; % Doppler shift for the target
    receivedSignals = receivedSignals + exp(-1j * 2 * pi * (fStart + dopplerShift) * (t - timeDelay));
end
receivedSignals = receivedSignals.*lfmWaveform; % Mix the received signals with the LFM waveform
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  1. Perform range and Doppler processing to detect and track the targets:
main.m
spectrogram(receivedSignals, 256, 250, 256, fs, 'yaxis'); % Calculate spectrogram
view(-45,65); % Set view angle for better visualization
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This code snippet generates LFM waveform, simulates received signals from 3 targets, and then processes those signals to detect and track the targets based on range and Doppler processing. You may need to adjust parameters, such as the positions and velocities of the targets, to suit your specific scenario.

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