61. If x1(t) = 2sinπt + cos4πt and x2(t) = 2sin5πt + 3sin13πt, then
62. A data sequence x[n] = {1, 2, 3, 4, 5} passes through a linear time-invariant system with impulse response h[n] = {5, 4, 3, 2, 1}. The output of the filter will be
63. For a random variable 'x' having the probability density function (PDF) as shown in the above figure, what are the values of the mean and the variance, respectively?

64. If the impulse response of a discrete-time system is h[n] = -5nu[-n - 1], then the system function H(z) is equal to
65. For distortion less transmission through LTI system phase of H(ω) is
66. The autocorrelation of wide-sense random process is given by e-2|τ|. The peak value of the spectral density is
67. If the cumulative distribution function is Fx(x) then the probability density function fx(x) is given as
68. The fundamental period T of a periodic-continuous time signal x(t), is
69. The periodic signal x(t) = 5cos(ω0t + 30°), signal is periodic with fundamental period . . . . . . . .
70. Match List-I with List-II and select the correct answer using the options given below:
List-I (Functions in the time domain)
List-II (Fourier transform of the function)
a. Delta function
1. Delta function
b. Gate function
2. Gaussian function
c. Normalized Gaussian
3. Constant function
d. Sinusoidal function
4. Sampling Function
| List-I (Functions in the time domain) | List-II (Fourier transform of the function) |
| a. Delta function | 1. Delta function |
| b. Gate function | 2. Gaussian function |
| c. Normalized Gaussian | 3. Constant function |
| d. Sinusoidal function | 4. Sampling Function |
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