List of top Electronics Engineering Questions on Signals and Systems

A periodic signal \(x(t)\) of period \(T_0\) is given by \( x(t) = \begin{cases} 1, & |t|<T_1 \\ 0, & T_1<|t|<\frac{T_0}{2} \end{cases} \). The dc component of \(x(t)\) is

Signals and their Fourier Transforms are given in the table below. Match LIST-I with LIST-II and choose the correct answer.

LIST-ILIST-II  
A. \( e^{-at}u(t), a>0 \)I. \( \pi[\delta(\omega - \omega_0) + \delta(\omega + \omega_0)] \)
B. \( \cos \omega_0 t \)II. \( \frac{1}{j\omega + a} \)
C. \( \sin \omega_0 t \)III. \( \frac{1}{(j\omega + a)^2} \)
D. \( te^{-at}u(t), a>0 \)IV. \( -j\pi[\delta(\omega - \omega_0) - \delta(\omega + \omega_0)] \)
Consider an LTI system with a system function \( H(z) = \frac{1}{1 - \frac{1}{4}z^{-1}} \). Its difference equation will be
A discrete-time system has an input-output relationship: \( y[n]=\begin{cases} x[n], & n \ge 1 \\ 0, & n=0 \\ x[n+1], & n \le -1 \end{cases} \). The given system may have the properties: A. Linearity, B. Time-invariance, C. Causality, D. Stability. Choose the correct properties.
The convolution of \(x(-t)\) with impulse function \(\delta(-t - t_0)\) is equal to
A 1 kHz signal is flat-top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular low pass filter with a cut-off frequency of 1100 Hz. Then the output of the filter contains: