36. Match the following and choose the correct combination. E continuous and aperiodic signal F. continuous and periodic signal G Discrete and aperiodic signal H. Discrete and periodic signal Group 2 1. Fourier representation is continuous and aperiodic 2. Fourier representation is discrete and aperiodic 3. Fourier representation is continuous and periodic 4. Fouriere representation is discrete and periodic

A. E -3, F - 2, G -4, H ? 1

B. E - 1, F - 3, G - 2, H ? 4

C. E - 1, F - 2, G - 3, H ? 4

D. E - 2, F - 1, G - 4, H - 3

37. A signal x(n) = sin(coon + (1)) is the input to a linear time-inveriant system having a frequency response H (en. If the output of the system Ax(n - ii0), then the most general form of LH(e) will be

A. ?nocoo + p for any arbitrary real 13.

B. ?nocoo + 2rck for any arbitrary integer k.

C. nowo + aok for any arbitrary integer k.

D. ?now? 4).

38. A system with input x[n] and output y[n]=5 is given as y[n] = (sin -6 'A n) x(n). The system is

A. linear, stable and invertible

B. non-linear, stable and non-invertible

C. linear, stable and non-invertible

D. linear, unstable and invertible

39. A 5-point sequence xln] is given as x1-31 = 1, xt-21 = 1, x1-11 = 0, x[0] = 5, x[1] = 1. Let x(eo) denote the discrete-time Fourier transform of xln]. The value of RI X(ei') dco is

A.5

B. I On

C. 16n

D. 5 + j 10n

40. The z-transform Xlzi of a sequence x[n] 0.5 is given by Xlz] = 1- 2z . It is given that the region of convergence of X[z] includes the unit circle. The value of x[0] is

A.-0.5

B.0

C.0.25

D.0.5

Page **6** of **6**