ECE · all questions

Signal Processing
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

496

Questions

11/25

Page

Pick an option on a question to see the right answer and solution.

Q201

The transfer function of a discrete time LTI system is given by

H (z) = \frac{2 - \frac{3}{4} z ^{- 1}}{1 - \frac{3}{4} z ^{- 1} + \frac{1}{8} z ^{- 2}}

Consider the following statements:
S₁ : The system is stable and causal for

ROC : ∣ z ∣ > \frac{1}{2}

S₂ : The system is stable but not causal for

ROC : ∣ z ∣ < \frac{1}{4}

S₃ : The system is neither stable nor causal for

ROC : \frac{1}{4} < ∣ z ∣ < \frac{1}{2}

Which one of the following statements is valid?

Select an option to see the answer and solution.

Q202

The approximate transition width of main lobe in Blackman window is

Select an option to see the answer and solution.

Q203

Consider the two different ways of cascading a decimator with an interpolator shown below
The two systems are identical if-
Signal Processing mcq question image

Signal Processing mcq question image

Select an option to see the answer and solution.

Q204

A signal x_n, is given by x₀ = 3, x₁ = 2, x₂ = 5, x₃ = 1, x₄ = 0, x₅ = 1, x₆ = 2, x₇ = 2, x₈ = 4, where the subscript 'n' denotes time. The peak value of the auto correlation of x_{2n - 11} is

Select an option to see the answer and solution.

Q205

The Causal system given by H(z) = 6 + z^-1 - z^-2 is

Select an option to see the answer and solution.

Q206

What is the Nyquist rate for the signal x(t) = cos2000πt + 3sin6000πt ?

Select an option to see the answer and solution.

Q207

What is the minimum sampling rate required to avoid aliasing for the signal

m (t) = (\frac{sin ( 2 π t )}{2 π t})^{3}

Select an option to see the answer and solution.

Q208

The continuous time unit-step function is defined by

Select an option to see the answer and solution.

Q209

Match List-I with List-II and select the correct answer using the options given below:

List-I	List-II
a. $α^{n} u (n)$	1. $\frac{α z ^{- 1}}{( 1 - α z ^{- 1} ) ^{2}} ROC : ∣ z ∣ > ∣ α ∣$
b. $- α^{n} u (- n - 1)$	2. $\frac{1}{( 1 - α z ^{- 1} )} ROC : ∣ z ∣ > ∣ α ∣$
c. $- n α^{n} u (- n - 1)$	3. $\frac{1}{( 1 - α z ^{- 1} )} ROC : ∣ z ∣ < ∣ α ∣$
d. $n α^{n} u (n)$	4. $\frac{α z ^{- 1}}{( 1 - α z ^{- 1} ) ^{2}} ROC : ∣ z ∣ < ∣ α ∣$

Select an option to see the answer and solution.

Q210

The positions of the poles for the Butterworth filter lie on . . . . . . . . and the positions of the poles for the Chebyshev filter lie on . . . . . . . .

Select an option to see the answer and solution.

Q211

If X(z) is

\frac{1}{1 - z ^{- 1}}

with |z| > 1, then what is the corresponding x(n)?

Select an option to see the answer and solution.

Q212

A causal LTI system is described by the difference equation 2y[n] = αy[n - 2] - 2x[n] + βx[n - 1]
The system is stable only if

Select an option to see the answer and solution.

Q213

The spectral density of a random signal is given by π[δ(ω - ω₀) + δ(ω + ω₀)]. The auto-correlation function of the signals is

Select an option to see the answer and solution.

Q214

In a discrete-time Low Pass Filter, the frequency response is

Select an option to see the answer and solution.

Q215

A discrete time system y(n) is the resultant convolution of f(n) and h(n) having length 3 and 5 respectively. The maximum possible sample value of f(n) and h(n) are 10 and 20 respectively. Find the maximum possible value for sum of all sample value of y(n).

Select an option to see the answer and solution.

Q216

The autocorrelation function R_x(τ) of the signal x(τ) = V sin ωt is given by

Select an option to see the answer and solution.

Q217

The impulse response of a linear time invariant system is a rectangular pulse of duration T. It is excited by an input of a pulse of duration T. What is the filter output waveform?

Select an option to see the answer and solution.

Q218

Consider a cascade system with unit step u(t) as input and h₁(t) = e^-2tu(t) and h₂(t) = e^-tu(t) respectively as impulse responses of two systems, find out the overall output.

Select an option to see the answer and solution.

Q219

A system has impulse response h[n] = cos(n)u[n]. The system is:

Select an option to see the answer and solution.

Q220

Consider the following system
h(n) is a filter with frequency response, then
Signal Processing mcq question image

Signal Processing mcq question image

Select an option to see the answer and solution.

Prev 9 10 11 12 13 Next