List the different types of filters based on frequency response.
[3 marks]Discuss the overlap-add method for long data sequence.
[4 marks]Discuss the concept of frequency transformation in analog domain.
[7 marks]What is the relation between Z-transform and DFT?
[3 marks]Find the IDFT of X(k) = {1, 0, 1, 0}.
[4 marks]Perform circular convolution of x(n)={2,1,2,1} and y(n)={1,2,3,4}.
[7 marks]Realize an FIR system y(n)+2y(n-1)-3y(n-2)= 4x(n) + 5x(n-1) + 6x(n-2) using the transposed form structure.
[7 marks]What is the relation between DTFT and DFT?
[3 marks]State and prove the time reversal property of DFT.
[4 marks]What is an FIR filter? Compare an FIR filter with an IIR filter.
[7 marks]Discuss how FFT improves the speed of computation.
[3 marks]State and prove the circular time shift property of the DFT.
[4 marks]Explain FIR filter design using windowing method.
[7 marks]Give any two applications of DFT?
[3 marks]Explain radix-2 DIF FFT.
[4 marks]Discuss the different methods of realization of FIR systems.
[7 marks]Explain the ideal characteristic of Lowpass filter.
[3 marks]Draw and explain the basic butterfly diagram or flow graph of radix-2 DIT FFT?
[4 marks]Write the difference equations for FIR and IIR system and hence derive the transfer functions of FIR and IIR systems.
[7 marks]Discuss the bilinear transformation method for IIR filter design.
[7 marks]Find the 4-point DFT of the sequence x(n) = {2, 1, 4, 3} by
[7 marks]DIT FFT algorithm (b) DIF FFT algorithm.
[ marks]Discuss the impulse invariant method for IIR filter design.
[7 marks]Given a sequence x(n) = {1, 2, 3, 4, 4, 3, 2, 1}, determine X(k) using DIT FFT algorithm.
[7 marks]