Recent questions tagged signals-and-systems

Which of the following can be impulse response of a casual system?

The power in the signal $s(t)=8 \cos \left(20 \pi t-\frac{\pi}{2}\right)+$ $4 \sin (15 \pi t)$ is$40$$41$$42$$82$

The output $y(t)$ of a linear time invariant system is related to its input $x(t)$ by the following equation:$y(t)=0.5 x\left(t-t_{d}+\mathrm{T}\right)+x\left(t-t_{d}\rig...

Match the following and choose the correct combination.$$\begin{array}{ll} \qquad \qquad \quad \textbf{Group 1} & \quad \qquad \qquad \qquad \qquad \textbf{Group 2} \\ \t...

A signal $x(n)=\sin \left(\omega_{0} n+\phi\right)$ is the input to a linear time-invariant system having a frequency response $\text{H}(e^{j \omega})$. If the output of ...

For a signal $x(f)$ the fourier transform is $X(f)$. Then the inverse Fourier transform of $X(3 f+2)$ is given by$\frac{1}{2 x}\left(\frac{t}{2}\right) e^{j 3 \pi t}$$\fr...

Noise with uniform power spectral density of $\text{N}_{0}$ $\mathrm{W / Hz}$ is passed through a filter $\mathrm{H}(\omega)=2$ exp $\left(-j \omega t_{d}\right)$ followe...

Statement of Linked Answer Questions 85a and 85bA sequence $x(n)$ has non-zero values as shown in the figureThe sequence $y(n)=\left\{x\left(\frac{n}{2}-1\right)\right.$ ...

Let $h(t)$ be the impulse response of a linear time invariant system. Then the response of the system for any input $u(t)$ is$\int_{0}^{t} h(\tau) u(t-\tau) d \tau$$\frac...

A $1.0 \; \mathrm{kHz}$ signal is flat-top sampled at the rate of $1800$ samples sec and the samples are applied to an ideal rectangular $\text{LPF}$ with cat-off frequen...

(A) Fourier transform of a Gaussian function(B) Convolution of a Rectangular pulse with itself(C) Current through an inductor for a step input voltageGaussian function Re...

The trigonometric Fourier series of an even function of time does not have the$d c$ termcosine termssine termsodd harmonic terms

The Fourier transform of a real-valued time signal hasodd symmetryeven symmetryconjugate symmetryno symmetry

A rectangular pulse of duration $T$ is applied to a filter matched to this input. The output of the filter is arectangular pulse of duration $T$rectangular pulse of durat...

The autocorrelation function of an energy signal hasno symmetryconjugate symmetryodd symmetryeven symmetry

A low-pass filter having a frequency response $\mathrm{H}(\mathrm{j} \omega)=\mathrm{A}(\omega) \;e^{j{\phi(\omega)}}$ does not produce any phase distortion, if$\mathrm{A...

Let $x(t) \longleftrightarrow \mathrm{X}(j \omega)$ be Fourier Transform pair. The Fourier Transform of the signal $x(5 t-3)$ in terms of $X(j \omega)$ is given as$\frac{...

The Dirac delta function $\delta(t)$ is defined as$\delta(t)= \begin{cases}1, & t=0 \\ 0, & \text { otherwise }\end{cases}$$\delta(t)= \begin{cases}\infty, & t=0 \\ 0, & ...

Consider the function $f(t)$ having Laplace transform $$ \text{F}(s)=\frac{\omega_0}{s^2+\omega_0^2} \operatorname{Re}[s]>0 $$ The final value of $f(t)$ would be$0$$1$$-1...

A signal $m(t)$ with bandwidth $500 \mathrm{~Hz}$ is first multiplied by a signal $g(t)$ where\[ g(t)=\sum_{\mathrm{R}=-\infty}^{\infty}(-1)^{k} \delta\left(t-0.5 \times ...

The minimum sampling frequency (in samples/sec) required to reconstruct the following signal from its samples without distortion\[ x(t)=5\left(\frac{\sin 2 \pi 1000 t}{\p...

The minimum step-size required for a Delta-Modulator operating at $32 \mathrm{~K}$ samples/ $\mathrm{sec}$ to track the signal (here $u(t)$ is the unit-step function)$\be...

A zero- mean white Gaussian noise is passed through an ideal lowpass filter of ban width $10 \; \mathrm{kHz}$. The output is the uniformly sampled with sampling period $t...

In the following figure the minimum value of the constant ' $C$ ', which is to be added to $y_{1}(t)$ such that $y_{1}(t)$ and $y_{2}(t)$ are different, is$\Delta$$\frac{...

Common Data for Questions 74, 75:Let $g(t)=p(t)^{*} p(t)$, where * denotes convolution and $p(t)=u(t)-u(t-1)$ with $u(t)$ being the unit step functionThe impulse response...

The Fourice Series of a odd periọdic function, contains onlyodd harmonicseven harmonicscosine termssine terms

Pulse-width modulated signals are immune to noise since their amplitude is constant.