Signals and Sys...

What will be the numerical value of the following integral?

\(\mathop \smallint \nolimits_{ - 1}^8 \left[ {\delta \left( {t + 3} \right) - 2\delta \left( {4t} \right)} \right]dt\)

The period of the given signal is:

\(x\left( n \right) = \sin \left( {\frac{{2\pi }}{5}n} \right) + 3\cos \left( {\frac{{2\pi }}{7}n} \right) + \cos \left( {\frac{{4\pi\;}}{{22}}n + \frac{\pi }{2}} \right)\)

Determine the Fourier series coefficient for given periodic signal x(t).

x(t) as shown in fig.

Let f(t) be an even periodic signal with time period T and let y(t) be signal defined such that y(t) = f(t + T/4) then which of the following statement is true regarding Fourier series expansion of f(t) and y(t)

If \(x\left[ n \right] = cos\left[ {\frac{{3\pi n}}{4}} \right]\) and y[n] = sin (7πn). Then the value of \(\mathop \sum \limits_{n = - \infty }^{ + \infty } x\left[ n \right]y\left[ n \right]\) is__________.

DFT of a signal f(n) is known to be F(k) = {5, 3 + 6j, -1, 3 - 6j}

The DFT of the signal f(n - 3) will be:

For an LTI system with rational transfer function H(z), which of the following statements is/are true?

Determine the Fourier series coefficient for given periodic signal x(t).

x(t) as shown in fig.

In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.

The energy of the signal x(t) is E/4 . If the signal is shrunk by a factor of 3 along the time scale the energy will now be

In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.

 Let X(z) be the z-transform of a discrete-time sequence \(x\left( n \right)={{\left( -\frac{1}{2} \right)}^{n}}u\left( n \right)\) 

Consider another signal y(n) and its z- transform Y(z), given as Y(z) = X (z³). The value of y(n) at n = 4 is ______.

In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.

X[k] as shown in fig, wo = π

In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.

X[k] As shown in fig. , ω_o = 2π

The highest frequency component of a speech signal needed for telephonic communications is about 3.1 kHz. What is the suitable value for the sampling rate?

The percentage of total energy in the signal \(f\left( t \right) = {e^{ - t}}u\left( t \right)\) contained in the frequency band |ω| < 5 rad/sec is ________.

The figure given below shows the Fourier spectra of signal x(t) and y(t).

The Nyquist sampling rate for x(t) y(t) is_________.

Consider a periodic signal x(t) whose Fourier series coefficient is defined as below

\({c_n} = \left\{ {\begin{array}{*{20}{c}} {2\;\;\;\;\;\;\;,\;\;\;\;\;\;\;\;n = 0}\\ {j{{\left( {\frac{1}{2}} \right)}^{\left| n \right|}},\;\;\;otherwise} \end{array}} \right.\)

Which of the following conclusions is/are true?

An LTI system described by \(H\left( s \right) = \frac{1}{{{s^2} + 3s + 1}}\) Find the system response for the Input x(t) = 2cos (2t + 25°)

Consider the signal x(t) = cos(6πt) + sin(8πt), where t is in seconds. The Nyquist sampling rate (in samples/second) for the signal y(t) = x(2t + 5) is

A continuous-time signal has frequency content at f = 10 MHz, 50 MHz, and 70 MHz. The signal is sampled at a sampling frequency of 56 MHz and is then passed through a low-pass filter with a cutoff frequency of 15 MHz. The frequency content of the output of the filter will be:

A sinusoid x(t) of unknown frequency is sampled by an impulse train of period 20 ms. The resulting sample train is next applied to an ideal lowpass filter with cutoff at 25 Hz. The filter output is seen to be a sinusoid of frequency 20 Hz. This means that x(t) is

An input signal x(t) = 2 + 5sin⁡(100πt) is sampled with a sampling frequency of 400 Hz and applied to the system whose transfer function is represented by

where, N represents the number of samples per cycle. The output y[n] of the system under steady state is

Which of the following is correct regarding the frequency content of a rectangular wave with a 30% duty cycle?

If a 100 Hz sinusoidal signal is sampled at the rates of 140 Hz, 90 Hz, and 30 Hz, then the aliased frequencies correspond to each sampling rate will be respectively: