Bissoy.com
Doctors Medicines MCQs Q&A

The input x[n] and output y[n] of a discrete-time system are related as y[n] = αy [n - 1] + x[n]. The condition on α for which the system is Bounded-Input Bounded-Output (BIBO) stable is

The input x[n] and output y[n] of a discrete-time system are related as y[n] = αy [n - 1] + x[n]. The condition on α for which the system is Bounded-Input Bounded-Output (BIBO) stable is Correct Answer |α| < 1

y = α y + x

The given system is BIBO stable for |α| < 1

Related Questions

Consider the following statements for continuous-time linear time invariant (LTI) systems. I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. II. There is no causal and BIBO stable system with a pole in the right half of the complex plane. Which one among the following is correct?
Consider the following statements for continuous-time linear time invariant (LTI) systems.
1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
2. There is no causal and BIBO stable system with a pole in the right half of the complex plane.
Which one among the following is correct?
Consider a system whose input r and output y are related by the equation $$y\left( t \right) = \int\limits_{ - \infty }^\infty {x\left( {t - \tau } \right)} h\left( {2\tau } \right)d\tau $$
Signal Processing mcq question image
Where h(t) is shown in the graph
Which of the following four properties are possessed by the system? BIBO: Bounded input gives a bounded output
Causal: The system is causal.
LP : The system is low pass.
LTI: The system is linear and time-invariant.
In the question one statement is given, followed by two conclusions, I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statement. Statement: A function is a relation between a set of input elements and a set of possible output elements where each input is related to exactly one output. Conclusion I: Every input element is related to every output element. Conclusion II: Every input element is related to one element of the output.
A system provides output yi(t) when xi(t) is applied. If the system is said to be LTI then which of the following properties must satisfy? (i).If the input is x3 = ax1(t) + bx2(t), then output must be y3(t) = ay1(t) + by2(t) (ii).If the input is x(t – T), then the output must be y (t – T) (iii).If the input is x3 = ax1(t) + bx2(t), then output must be y3(t) = ay1(t) * by2(t) (iv).If the input is x(t – T), then the output must be y(t + T)
Which of the following statements is/are correct? 1. A system is said to be Finite Impulse Response (FIR), if the output samples of the system depend only on the present input and a finite number of past or previous input samples. 2. If the output of a system y(n) depends only on the present input and past inputs, but not on past outputs, then it is called a non-recursive system. 3. If the output of a system y(n) depends only on the present input and past inputs, but not on past outputs, then it is called a recursive system.
Wages of the workers are normally, the proportionality derived from their efficiency. But the concept of efficiency of labour is itself vague such as amount of physical output, output per man hour or output per man shift. But output is not the function of man alone. There are other factors which affect the output. Which among the following is/are not the factor(s) that would affect the output directly?
1. Physical condition of work
2. Nature of machinery
3. Technical process
4. Quality of raw material
5. System of management
6. Role of fellow workers
7. Competitors in the market
A linear time invariant system is said to be BIBO stable if and only if the ROC of the system function _____________
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?
Consider the following opinions regarding the advantage and disadvantage of a Mealy model: 1. Advantage: Less number of states (hence less hardware) Disadvantage: Input transients are directly conveyed to the output 2. Advantage: Output remains stable over the entire clock period. Disadvantage: Input transients persist for a long duration at the output. Which of the above is/are correct?