Related Questions

The transfer function of a discrete time LTI system is given by
$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \over {1 - {3 \over 4}{z^{ - 1}} + {1 \over 8}{z^{ - 2}}}}$$
Consider the following statements:
S1 : The system is stable and causal for
$$ROC:\left| z \right| > {1 \over 2}$$
S2 : The system is stable but not causal for
$$ROC:\left| z \right| S3 : The system is neither stable nor causal for
$$ROC:{1 \over 4} Which one of the following statements is valid?
Assertion (A): For the rational transfer function H(z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane. Reason (R): For a rational system, ROC is bounded by poles
If the ROC of X(z) is r1<|z|
What will be the total weight of 10 poles each of the same weight ? I. One-fourth of the weight of a pole is 5 kilograms. II. The total weight of three poles is 20 kilograms more than the total weight of two poles.
Question : What will be the total weight of 10 poles, each of the same weight ?

Statements :
I. One-fourth of the weight of each pole is 5 kg.
II. The total weight of three poles is 20 kilograms more than the total weight of two poles.
Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane. Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane.
A rectangular pulse train s(t) as shown in the figure is convolved with the signal cos2(4π × 103t). The convolved signal will be a
Signal Processing mcq question image
For the discrete-time system shown in the figure, the poles of the system transfer function are located at
Signal Processing mcq question image
Consider the following statements:
1. Parliament shall, while a proclamation of Emergency is in operation, have the power to make laws of the whole or any part of territory of India with respect to any of the matters enumerated in the list
2. Parliament has exclusive power to make any law with respect to any matter not enumerated in the Concurrent List or State List
3. Parliament has power to make any law for the whole or any part of the territory of India for implementing any treaty, agreement, or convention with any other country
4. Parliament has power to legislate with respect to a matter in the State List in the national interest subject to the resolution passed by the Council of States by two-thirds majority
Which of these statements are correct?
What is the ROC of the z-transform of the signal x(n)= anu(n)+bnu(-n-1)?