Question on Match Filters

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James Manns 2024-2-20

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评论： Image Analyst 2024-2-20

How do I create a MATLAB code for convolution to display the results below:

Consider a signal s1(t)=t^2, 0≤t≤1 so T=1. The signal is zero otherwise.

(a) Sketch the signal and the corresponding matched filter impulse response.

(b) What is the SNR at the output of the MF when sampled at t=T.

Assume noise PSD N0 to be 10^−12 Watt/Hz.

(c) Sketch the MF output signal versus time, showing the exact sample (from the signal) value to be obtained at the sampling instant. (Try plotting using computer, you can perform convolution)

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James Manns 2024-2-20

IMG_3034.jpg

I believe I have worked out the solution in the attached. However, when I researched the conv in MATLAB, the examples seem to be with matrices. When dealing with the attached, I don't know how to set up the conv line. I also did not see a section on it in the Onramp tutorial.