Question

Using DFT and IDFT, determine the response of the FIR filter with impulse response, h[n] = 1, 2.5, 5, to the input sequence, x[n] = 5, 2, 2, 1, on and so forth. Prepare your answer by considering 2 scenario; 1. Good selection of N. 2. Poor selection of N. Explain what happen if N is poorly selected. For this reason, you need to do some reading on what should be a good/poor selection of N for the N-point DFT. You may use MATLAB coding for the calculation of DFT, using this command, e.g. x=[1 2 3]; X = fft(x,N); x = ifft(X,N); However, your solution / explanation must all be hand-written. You should also validate your result using convolution in time domain.

          Using DFT and IDFT, determine the response of the FIR filter with impulse response, h[n] = 1, 2.5, 5,
to the input sequence, x[n] = 5, 2, 2, 1,
on and so forth.
Prepare your answer by considering 2 scenario;
1. Good selection of N.
2. Poor selection of N. Explain what happen if N is poorly selected.
For this reason, you need to do some reading on what should be a good/poor selection of N for the
N-point DFT. You may
use MATLAB coding for the calculation of DFT, using this command, e.g. x=[1 2 3]; X = fft(x,N); x = 
ifft(X,N);
However, your solution / explanation must all be hand-written. You should also validate your result
using convolution in time domain.

Using DFT and IDFT, determine the response of the FIR filter with impulse response, h[n] = 1, 2.5, 5,
to the input sequence, x[n] = 5, 2, 2, 1,
on and so forth.
Prepare your answer by considering 2 scenario;
1. Good selection of N.
2. Poor selection of N. Explain what happen if N is poorly selected.
For this reason, you need to do some reading on what should be a good/poor selection of N for the
N-point DFT. You may
use MATLAB coding for the calculation of DFT, using this command, e.g. x=[1 2 3]; X = fft(x,N); x =
ifft(X,N);
However, your solution / explanation must all be hand-written. You should also validate your result
using convolution in time domain.

Added by Garrett B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

11/28/2022

Step 1

To calculate the DFT of h[n], we can use the fft function in MATLAB. h = [1, 2.5, 5]; % Impulse response N = length(h); % Length of impulse response H = fft(h, N); % DFT of h[n] Show more…

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PLEASE DO HAND WRITTEN ANSWER AND MATLAB TO PROOVE IT. Using DFT and IDFT,determine the response of the FIR filter with impulse response,h[n]=1,2.5,5 to the input sequence, x[n] = 5, 2, 2, 1, on and so forth. Prepare your answer by considering 2 scenario; 1. Good selection of N. 2. Poor selection of N. Explain what happen if N is poorly selected. For this reason, you need to do some reading on what should be a good/poor selection of N for the N-point DFT. You may use MATLAB coding for the calculation of DFT, using this command, e.g. x=[1 2 3]; X = fft(x,N); x = ifft(X,N); However, your solution/explanation must all be hand-written.You should also validate your result using convolution in time domain.