91. The output y(t) of a continues-time system S for the input x(t) is given by?
$$y\left( t \right) = \int\limits_{ - \infty }^t x \left( \lambda \right)d\lambda $$
Which one of the following is correct?
$$y\left( t \right) = \int\limits_{ - \infty }^t x \left( \lambda \right)d\lambda $$
Which one of the following is correct?
92. Fourier transform of te-atu(t), (Where, a > 0, u(t) is the Unit step function) is
93. Consider the signal \[X\left( t \right) = \left\{ \begin{gathered}
2\cos \left( t \right) + \cos \left( {2t} \right);\,\,\,t < 0 \hfill \\
2\sin \left( t \right) + \sin \left( {2t} \right);\,\,\,t \leqslant 0 \hfill \\
\end{gathered} \right.\]
The signal X(t) is
The signal X(t) is
94. The transfer function of a zero-order hold is
95. A random variable z, has a probability density function f(z), where f(z) = e-z 0 ≤ z ≤ ∞, the probability of 0 ≤ z ≤ 2 will be approximately
96. A signal m(t) band-limited to 3 kHz is sampled at a rate $$33\frac{1}{3}\% $$ higher than the Nyquist rate. The maximum acceptable error in the sample amplitude is 0.5% of the peak amplitude mp. The quantized samples are binary coded, then the minimum bandwidth of a channel required to transmit the encoded binary signal will be:
97. Which of the following schemes of system realization uses separate delay for input and output samples?
98. Consider a discrete random variable assuming finitely many values. The cumulative distribution function of such a random variable is
99. The relationship between the input x(t) and the output y(t) of a system is $$\frac{{{d^2}y}}{{d{t^2}}} = x\left( {t - 2} \right)u\left( {t - 2} \right) + \frac{{{d^2}x}}{{d{t^2}}}$$
The transfer function of the system is
The transfer function of the system is
100. A signal g(t) = A then g(t) is a
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