51. According to Shanon's theorem, the output from any source of rate R can be coded and transmitted over channel capacity C with the condition that
52. A discrete time signal is given as $$x\left[ n \right] = \cos \frac{{\pi n}}{9} + \sin \left[ { - \frac{{\pi n}}{7} + \frac{1}{2}} \right].$$
The period N for the periodic signal is
The period N for the periodic signal is
53. A stable and casual digital infinite impulse response filter has its pole location at
54. Which of the following is/are not a property/properties of a power spectral density function Sx(ω)?
55. Which one of the following is a periodic signal?
56. A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel, $$\sum\limits_{k = 1}^3 {{a_k}\cos \left( {k{\omega _0}t} \right),} $$ where ak ≠ 0, ω0 ≠ 0. The source has nonzero impedance. Which one of the following is a possible form of the output measured across a resistor in the network?
57. The direct form structure of an FIR (finite impulse response) filter is shown in the figure.
The filter can be used to approximate a
The filter can be used to approximate a

58. Let x(t) be the input to linear, time invariant system the required output is 4x(t - 2). The transfer function of the system should be
59. If a discrete time signal x[n] is filtered by a ideal low pass filter with cut-off frequency . . . . . . . . then the output of the filter can be sampled by a factor of 'M' (is and integer) without aliasing.
60. x(t) is a periodic signal with even symmetry. Then, its trigonometric fourier series expansion will have
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