Draw & discuss typical block diagram of Digital Signal Processing
[3 marks]Mention sampling theorem and explain its importance with suitable
[4 marks]eCxhaemckp lteh.e time variance and linearity of given systems. 1 . y(n) = x(n) cosw n 2. y(n) = x(n) u(n)0
[7 marks]Decide whether system y(n) = m x(n) + c is linear or nonlinear.
[3 marks]Explain bilinear transformation method.
[4 marks]Classify signals and explain all types of signals in brief.
[7 marks]Perform the circular convolution of two sequence x1(n) = {1,3,5,3} and x2(n) ={2,3,1,1}
[7 marks]State and explain initial and final value theorem in Ztransformation.
[3 marks]Derive the Ztransformation for x(n) = an (sinw0n) u(n)
[4 marks]Determine zero input response of system described by homogeneous second order difference equation y(n) - 3 y(n-1) - 4 y(n-2) = 0.
[7 marks]Determine causality of the given systems. 1. x(n) = x(n-5) 2. x(n) = x(n+5) 3. x(n) = x(-n)
[3 marks]Determine Ztransformation of Signal x(n) = n an u(n)
[4 marks]List out the properties of Ztransformation with suitable detail
[7 marks]What is aliasing effect and how it can be eliminated?
[3 marks]ROC of Z-transform and enlist properties of ROC.
[4 marks]Find circular convolution of the sequences x(n)={1,2,3,4} and h(n)={2,1,2,1}.
[7 marks]Explain impulse invariance method.
[3 marks]Determine auto-correlation of the following signal: x(n) = {1 ,2, 1, 1}
[4 marks]Enumerate 8 point decimation in time FFT algorithm.
[7 marks]Explain time reversal of a sequence in DFT.
[3 marks]Calculate 4 point DFT of X(n)={0,1,2,3}
[4 marks]Explain windowing Method for FIR filter design in brief.
[7 marks]Determine the IDFT of X[k] = {2, 1+j, 0, 1-j}
[3 marks]Derive and explain symmetry properties for DTFT.
[4 marks]Explain in brief about impulse invariance method for IIR filter design.
[7 marks]