Module1
1. Find the DFT of the following sequences
(i) ( ) (ii) ( ) ( ) (iii) ( )
2. Explain the need for frequency sampling. Also, determine the frequency
spacing between spectral samples of the DFT, for the analog signal sampled
at 10K Hz and DFT of 1024 samples is computed.
3. Estimate the energy of the 4-point sequence, ( ) ( ), , in
time domain and infer the same using frequency domain approach.
4. Find the N-point DFT of the sequences for ( ) ( ); .
5. Define DFT and IDFT of a signal. Obtain the relationship between DFT and Z
transform.
6. Determine 8 point DFT of the signal x(n)={1,1,1,1,1,1,0,0}.
Module 2
1. Find the DFT of the sequence ( ) * + using DIT- FFT
radix-2 algorithm.
2. Show that the locus of marginally stable point is a circle in backward
difference method.
3. Compute the DFT of the sequence ( ) ( ) for the period N = 8 using
DIT-FFT algorithm.
4. Show the FFT method is more computationally efficient than Direct
computation of DFT.
5. Use overlap save method to compute y(n) of FIR filter with impulse response
h(n)={3,2,1} and input x(n)=(2,1,-1,-2,-3,5,6,-1,2,0,2,1).Use only 8 point
circular convolution in your approach.
6. Determine 4 point IDFT of X(K)={2.5,-0.25+j0.75,0,-0.25-j0.75}.
1. Find the DFT of the following sequences
(i) ( ) (ii) ( ) ( ) (iii) ( )
2. Explain the need for frequency sampling. Also, determine the frequency
spacing between spectral samples of the DFT, for the analog signal sampled
at 10K Hz and DFT of 1024 samples is computed.
3. Estimate the energy of the 4-point sequence, ( ) ( ), , in
time domain and infer the same using frequency domain approach.
4. Find the N-point DFT of the sequences for ( ) ( ); .
5. Define DFT and IDFT of a signal. Obtain the relationship between DFT and Z
transform.
6. Determine 8 point DFT of the signal x(n)={1,1,1,1,1,1,0,0}.
Module 2
1. Find the DFT of the sequence ( ) * + using DIT- FFT
radix-2 algorithm.
2. Show that the locus of marginally stable point is a circle in backward
difference method.
3. Compute the DFT of the sequence ( ) ( ) for the period N = 8 using
DIT-FFT algorithm.
4. Show the FFT method is more computationally efficient than Direct
computation of DFT.
5. Use overlap save method to compute y(n) of FIR filter with impulse response
h(n)={3,2,1} and input x(n)=(2,1,-1,-2,-3,5,6,-1,2,0,2,1).Use only 8 point
circular convolution in your approach.
6. Determine 4 point IDFT of X(K)={2.5,-0.25+j0.75,0,-0.25-j0.75}.
