41. A system is defined by its impulse response h(n) = 2n u(n - 2). The system is
42. A discrete time linear shift-invariant system has an impulse response h[n] with h[0] = 1, h[1] = -1, h[2] = 2, and zero otherwise. The system is given an input sequence x[n] with x[0] = x[2] = 1 and zero otherwise. The number of nonzero samples in the output sequence y[n], and the value of y[2] are, respectively
43. If the impulse response of a discrete-time system is h[n] = -5nu[- n - 1], then the system function H(z) is equal to
44. For an N-point FFT algorithm with N = 2m, which one of the following statements is TRUE?
45. A discrete-time signal x [n] = sin(π2 n), n being an integer, is
46. Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems (u(t) denotes the unit-step function)?
47. The Fourier Transform of a function x(t) is X(f). The Fourier transform of $${{dx\left( t \right)} \over {dt}}$$ will be
48. The magnitude and phase of the complex Fourier series coefficient ak of a periodic signal x(t) are shown in the figure. Choose the correct statement from the four choices given. Notation: C is the set of complex number, R is the set of purely real numbers, and P is the set of purely imaginary numbers.
49. Let the signal i(t) = 0 outside the interval [T1, T2], where T1 and T2 are finite. Furthermore, |f(t)| < ∞. The region of convergence (ROC) of the signal's bilateral Laplace transform F(s) is
50. The z-transform F(z) of the function f(nT) = anT is
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