91.
Consider the sequence x[n] = anu[n] + bnu[n], where u[n] denotes the unit-step sequence and 0 < |a| < |b| < 1. The region of convergence (ROC) of the z-transform of x[n] is

92.
A signals m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where $$g\left( t \right) = \sum\limits_{k = - \infty }^\infty {{{\left( { - 1} \right)}^k}\delta \left( {t - 0.5 \times {{10}^{ - 4}}k} \right)} $$
The resulting signal is then passed through an ideal low pass filter with bandwidth 1 kHz. The output of the low pass filter would be

93.
Two independent random signals X and Y are known to be Gaussian with mean values x0 and y0 and variance $$\sigma _{\text{x}}^2$$ and $$\sigma _{\text{y}}^2.$$  A signal Z = X - Y is obtained from them. The mean z0, variance $$\sigma _{\text{z}}^2$$ and p.d.f. p(z) of the signal Z are given by:

94.
Three analog signals, having bandwidth of 1200 Hz, 600 Hz and 600 Hz are sampled at their respective Nyquist rates, encoded with 12 bit words and time division multiplexed. The bit rate for the multiplexed signal is

95.
A stable Linear Time Invariant (LTI) system has a transfer function $${\text{H}}\left( {\text{s}} \right) = \frac{1}{{{{\text{s}}^2} + {\text{s}} - 6}}.$$    To make this system causal it needs to be cascaded with another LTI system having a transfer function H1(s). A correct choice for H1(s) among the following option is

96.
A square wave is defined by \[x\left( t \right) = \left\{ \begin{gathered} A,\,0 < t < \frac{{{T_0}}}{2} \hfill \\ - A,\,\frac{{{T_0}}}{2} < t < {T_0} \hfill \\ \end{gathered} \right.\]
It is periodically extended outside this interval. What is the general coefficient an in the Fourier expansion of this wave?

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