Digital Signal Processing — Winter 2023

Define: (1) Continuous time signal (2) Discrete time signal (3) Impulse signal

Determine even and odd component of x(t) = ejt

Discuss advantage & disadvantage of D.S.P. over A.S.P.

Define: (1) Fourier Series (2) Laplace Transform (3) Inverse Laplace Transform

Discuss Dirchlet’s conditions

Explain classification of discrete time signals with examples.

Explain classification of discrete time systems with examples.

Define: (1) Z- Transform (2) D.F.T. (2) D.T.F.T.

List properties of convolution.

Asystem has an impulse response h[n] = {1,2,3} and output response y[n] = {1,1,2, -1,3}. Determine the input sequence x[n].

Give Difference and Similarity between Linear and Circular Convolution with example.

List important properties of the ROC for the Z Transform.

Determine the causal signal x[n] having the z-transform X(Z) = 1 / ( 1 + z-1) ( 1 – z-1)2

Define: (1) Correlation (2) Initial Value Theorem (3) Final Value Theorem

Discuss relationship between the DFT and other Transforms.

Determine the IDFT of X(k) = {3, (2+j), 1, (2-j)}

Discuss (1) Direct Form – I Realization (2) Direct Form – II Realization with suitable example

List difference between IIR and FIR filters.

Obtain a cascade realization of the system characterized by the transfer function H(Z) = 2 (z + 2) / [ z (z – 0.1) (z + 0.5) (z + 0.4)

Discuss Kaiser window in details.

Discuss IIR Filter design by impulse invariant method.

Explain radix-2 DIT FFT algorithm with suitable example. OR1

Define: (1) Rectangular window function (2) Hamming window function (3) Hanning Window function

Discuss IIR Filter design by bilinear transformation method.

Explain radix-2 DIF FFT algorithm with suitable example.2