71. The system that is sometimes represented symbolically as x[n] → y[n] is called:
72. If ROC1 is the region of convergence of x(n) and ROC2 is the region of convergence of y(n), then x(n) ∗ y(n) is . . . . . . . .
73. The transfer function of a system $$Z\left( s \right) = \frac{{V\left( s \right)}}{{I\left( s \right)}} = \frac{s}{{s + 3}}.$$ The system is at restfor t < 0. What will be the value of v(t) for t ≥ 0, if i(t) = 3u(t), where u(t) is a step function
74. If $$L\left[ {f\left( t \right)} \right] = \frac{{2\left( {s + 1} \right)}}{{\left( {{s^2} + 2s + 5} \right)}},$$ then f(0+) and f(∞) are given by
75. The impulse function $$\int\limits_{{t_1}}^{{t_2}} {x\left( t \right){\delta ^n}\left( {t - {t_0}} \right)dt} $$ is equal to
76. If a periodic waveform is half-wave symmetric, it must be represented by a function satisfying the relationship
77. Fourier transform is not possible for
78. An IIR filter having numerator order M and denominator order N is to be realized using direct form II structure. How much total number of multiplications, additions and memory locations are required respectively?
79. Match List-I with List-II ) and select the correct answer using the options given below:
List-I (Input-output relation)
List-II (Property of the system)
a. y(n) = x(n)
1. Nonlinear, non-causal
b. y(n) = x(n2)
2. Linear, non-causal
c. y(n) = x2(-n)
3. Linear, causal
d. y(n) = x2(n)
4. Nonlinear, causal
| List-I (Input-output relation) | List-II (Property of the system) |
| a. y(n) = x(n) | 1. Nonlinear, non-causal |
| b. y(n) = x(n2) | 2. Linear, non-causal |
| c. y(n) = x2(-n) | 3. Linear, causal |
| d. y(n) = x2(n) | 4. Nonlinear, causal |
80. Let x(t) ↔ X(jω) be Fourier Transform pair. The Fourier Transform of the signal x(5t - 3) in terms of X(jω) is given as
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