Test: Z Transform & Its Function - Electrical Engineering (EE) MCQ
20 Questions MCQ Test - Test: Z Transform & Its Function
The discrete-time signal x (n) = (-1)n is periodic with fundamental period
The frequency of a continuous time signal x (t) changes on transformation from x (t) to x (α t), α > 0 by a factor
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Two sequences x1 (n) and x2 (n) are related by x2 (n) = x1 (- n). In the z- domain, their ROC’s are
The ROC of z-transform of the discrete time sequence x(n) =is:
Which one of the following is the correct statement? The region of convergence of z-transform of x[n] consists of the values of z for which x[n] is:
The region of convergence of the z-transform of a unit step function is:
If the region of convergence of x1[n]+x2[n] is 1/>|z|<2/3, the region of convergence of x1[n]-x2[n] includes:
A sequence x (n) with the z-transform X (z) = Z4 + Z2 – 2z + 2 – 3Z-4 is applied to an input to a linear time invariant system with the impulse response h (n) = 2δ (n-3). The output at n = 4 will be:
H (z) is discrete rational transfer function. To ensure that both H(z) and its inverse are stable:
Consider the following statements regarding a linear discrete-time system:
H (z) = z2+1/(z+0.5)(z-0.5)
1. The system is stable
2. The initial value of h(0) of the impulse response is -4
3. The steady-state output is zero for a sinusoidal discrete time input of frequency equal to one-fourth the sampling frequency
Which of these statements are correct?
The minimum number of delay elements required realizing a digital filter with transfer functionH (z) =
A system can be represented in the form of state equations as:
S (n+1) =A S (n) +B x (n)
Y (n) = C S (n) +D x (n)
Where, A, B, C, D are the matrices , S(n) is the state vector , x(n) is the input and y(n) is the output . The transfer function of the system.
H (z) =Y (z)/X (z) is given by:
Assertion (A): The signals anu(n) and anu(-n-1) have the same Z transform, z/(z-a)
Reason (R): the region of convergence of anu(n) is |z|>|a|, whereas the ROC for anu(-n-1) is |z|<|a|.
What is the number of roots of the polynomial F(z) = 4z3-8z2-z+2, lying outside the unit circle?
Assertion (A): The discrete time system described by y[n] =2x[n] +4x[n-1] is unstable
Reason (R): It has an impulse response with a finite number of non-zero samples
What is the z-transform of the signal x[n] = anu(n)?
Which one of the following rules determine the mapping of s-plane to z-plane?
Assertion (A): The z-transform of the output of the sampler is given by the series.
Reason (R): The relationship is the result of the application of z = e-sT, where T stands for the time gap between the samples.
Convolution of two sequences X1[n] and X2[n] are represented by:
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