signals

Consider the infinite-length, discrete-time sequence x[n] = 0.9|n|, where n is an integer. The region of convergence of its Z-transform X(Z) is given by: (Note: z is a complex vari...

The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system S. The output is observed to be the continuous-time unit step signa...

The Fourier transform X($\omega$) of the signal x(t) is given by $X(\omega) = 1$, for $|\omega| W_0$ Which one of the following statements is true?

The Z-transform of a discrete signal x[n] is $X(z) = \frac{4z}{(z-\frac{1}{2})(z-\frac{2}{3})(z-3)}$ with ROC = R. Which one of the following statements is true?

For the signals x(t) and y(t) shown in the figure, z(t) = x(t) * y(t) is maximum at t = T₁. Then T₁ in seconds is __________. (Round off to the nearest integer).

A signal x(t) = 2cos(180πt)cos(60πt) is sampled at 200 Hz and then passed through an ideal low pass filter having cut-off frequency of 100 Hz. The maximum frequency present in the...

The period of the discrete-time signal $$x[n]$$ described by the equation below is $$N=$$ __________ (Round off to the nearest integer). $$x[n] = 1 + 3\sin \left( {{{15\pi } \over...

Let z(t) = x(t) * y(t), where "*" denotes convolution. Let c be a positive real-valued constant. Choose the correct expression for z(ct).

Let the signal $x(t) = \sum_{k=-\infty}^{+\infty} (-1)^k \delta (t - \frac{k}{2000})$ be passed through an LTI system with frequency response H($\omega$), as given in the figure be...

The Fourier transform of a continuous-time signal x(t) is given by X(ω) = 1 / (10+jω)^2, -∞ < ω < ∞, where j=√-1 and ω denotes frequency. Then the value of |ln x(t)| at t =1 is ___...

The period of the signal $$x\left(t\right)=8\sin\left(0.8\mathrm{πt}+\frac{\mathrm\pi}4\right)$$ is

The value of the integral $$\int_{-5}^{+6}e^{-2t}\delta\left(t-1\right)dt$$ is equal to ________.