Digital Signal Processing — DU B.Sc. (Hons) Physics Previous Year Question Papers

Semester VH-Semester @SE paper) (a) Determine the fundamental period of the discrete signal x(n) = cos (dr3) n + cos (37tl4) n ® If x(n)= {1, 2, -3, 2, -1},, plot x(n) and x(h/3). (c) Give the cascade realization for the FR filter described by the system function (d) PFT of real signal is X(k) = {1, A , -1, 8 , 0 , -j2 , C , -1+j} . FindA,B,C. (e) Give three advantages of Digital Filters. ® Using discrete-time plots, sliow 8(n) = u(n) -u(n-1). 2.(a)Detemineenergyandpowerforthesignalx(n)=(:)nat(n).FindwhetherthesiLmalis classified' as power signal or energy signal. (5) a) Determine the transfer function H(ej°'), the magnitude |H(ejco)I and the phase zH(ej®) for the linear time-invariant system given by y(n,-:[#(ra,+y¢-2,, (c) Using appropriate property of DTFT determine the Discrete-Time Fourier transfonn of.the following signal x(n, = " (:)tr "(„, 3. (a) Find the z-transform and ROC of the given sequence (b) Find the pole zero plot of the system 4. (a) ind the Tavers transform of the cansal sequence given by X(z)== (5) (b) Find IDFT of X(K) = { 4, -j2, 0, j2 ) using linear transformation. (5) (c) State Parseval's theorem for DFT and prove the theorem for the sequence x(n) = {2, 4,2, 4} (5) 5. (a) Compute the linear convolution of the sequences (n) = (1,0, 2} and k(n) = [1,1} using (1) circular convolution (matrix method), and (it) the tabular method. (b) Determine the impulse response h(n) for an ideal low pass filter with a linear phase response given by