Compare merits and demerits of DSP over ASP.
[3 marks]Draw the direct form-Iand form-II for the system described by difference equation Y(n) – 3Y(n-1) + 4 Y(n-2) =x(n) +2 x(n-1)
[4 marks]Discuss the time domain behavior of causal systems depending upon pole location in z domain.
[7 marks]Calculate the power for complex exponential signal x(n)= a*ejwn
[3 marks]Check the system y(n) = n*x(n) for 1. Static- Dynamic 2. Linear- Nonlinear 3. Time Variant- Time Invariant 4. Causal- Anticausal
[4 marks]Determine the response y(n), n≥ 0, the system described by the second order difference equation y(n) - 3 y(n-1) – 4 y (n-2) = x(n) + 2 x(n-1) for x(n) =4n*u(n) input sequence.
[7 marks]Determine the linear convolution for the LTI system h(n) = {1,2,1,-1} and input signal x(n) ={ 1,2 ,3 1}
[7 marks]Derive the Ztransform for X(n) = cos (wn) * u(n)
[3 marks]State and prove time scaling and time reversal properties of z transform.
[4 marks]Obtain x(n) from (1 + 3z−1 + 11 z−2 + 1/3 z−3) X(z) = (1 + 5 z−1 + 1 z−2 )66
[6 marks]Derive the Ztransform for X(n) = n * u(n)
[3 marks]State and prove differentiation and initial value theorem properties of z transform.
[4 marks]Determine the inverse z transform of1 X(z) = for 1 −1.5 z−1 +0.5 z−2 1) ROC |z| > 1 2) ROC : |z| < 0.5 and 3) ROC : 0.5 < |z| < 1
[7 marks]Compute the Fourier transform and plot the magnitude spectra for x(n) = u(n) – u(n-4)1
[3 marks]Derive the symmetry properties for DTFT (Discrete Time Fourier Transform).
[4 marks]Consider the signal лn лn 1 3лn X(n) = 2 + 2 cos + cos + cos 1. Determine and sketch its power density spectrum 2. Evaluate the power of the signal
[7 marks]Determine the signal having following Fourier transform x(w) = cos2w.
[3 marks]Draw the energy density spectrum for x(n) = anu(n) for 1. a = (0.5) 2. a= (- 0.5)
[4 marks]Determine magnitude and phase spectra of the following periodic signals 2лn 2лn 1. x(n) = cos + sin35 2лn 2лn 2. x(n) = cos * sin35
[7 marks]Explain in brief about impulse invariance method for IIR filter design.
[3 marks]Obtain circular convolution of x (n) = { 1,2,3,4} x (n) = {2,1,2,1}12
[4 marks]Using decimation in time (DIT) radix-2 algorithm, compute 8 point DFT for the sequence x(n) = cos л n
[7 marks]Explain in brief about windowing method for FIR filter design.
[3 marks]Calculate 4 point DFT of x(n) = {2,1,2,1}
[4 marks]Using decimation in frequency (DIF) radix-2 algorithm, compute 8 point DFT for the sequence x(n) = cos л n
[7 marks]