Recent questions in Continuous-time Signals

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...

The $\text{RMS}$ value of a rectangular wave of period $T$, having a value of $+V$ for a duration, $T_1(<T)$ and $-V$ for the duration, $T-T_1=T_2$, equals$\mathrm{V}$$\f...

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, & ...

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...

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 Laplace transform of a unit ramp function starting at $t=a$, is$\frac{1}{(s+a)^{2}}$$\frac{e^{-as}}{(s+a)^{2}}$$\frac{e^{-as}}{s^{2}}$$\frac{a}{s^{2}}$

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

Increased pulse-width in the flat-top sampling, leads toattenuation of high frequencies in reproductionattenuation of low frequencies in reproductiongreater aliasing erro...