how to apply matched filter for linear frequency modulated signal which data is in matrix?

load TRACK515_1.mat;

a= (Channel_1_Data);

b= (Channel_2_Data);

c= (Channel_3_Data);

final_matrix= [a b c ];

waterfall(final_matrix(1000:3000,:)');

(** i want to apply matched filter to every channel)

[Mathieu NOE]

hello

1/ this is quite unclear

2/ data is missing

3/ is it a homework ?

[Divyasai Mandalapu]

I am transmitting a sound signal from the transmitter and receiving the signals.the received signal is recorded and I converted them into .matfile and I have data in matrix. Now I want to apply matched filter to the received data. The signal I am transmitting is linear frequency modulated signal as a sound.

[Mathieu NOE]

ok

I may not be very famailiar with the concept of linear frequency modulated signal

and how is defined a filter that is matched (...to what ?)

Answer 1

[Ashutosh Singh Baghel]

Hi Divyasai,

I believe you wish to apply matched filtering to the signal received. Matched filtering increases the SNR of signals and improves detection performance. Here is an example to refer.

waveform = phased.LinearFMWaveform('PulseWidth',1e-4,'PRF',5e3);
x = waveform();
filter = phased.MatchedFilter( ...
    'Coefficients',getMatchedFilter(waveform));
y = filter(x);
subplot(2,1,1),plot(real(x))
xlabel('Samples')
ylabel('Amplitude')
title('Input Signal')
subplot(2,1,2),plot(real(y))
xlabel('Samples')
ylabel('Amplitude')
title('Matched Filter Output')

Please refer to the following MATLAB Documentation webpag on 'Matched Filtering'.