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Which of the following systems is causal and stable?
11. Which of the following system is causal? Explanation: An LTI system is said to be causal only when its output at any time depends on the previous or present value of the input.
Are causal system stable?
Hence, the system is causal. A system is said to invertible if the input of the system appears at the output. The system is said to be stable only when the output is bounded for bounded input. For a bounded input, if the output is unbounded in the system then it is said to be unstable.
Which of the following system are stable?
Which of the following systems is stable? Explanation: Stability implies that a bounded input should give a bounded output. In a,b,d there are regions of x, for which y reaches infinity/negative infinity. Thus the sin function always stays between -1 and 1, and is hence stable.
Is distributive property a property of equality?
The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, a(b+c)=ab+ac.
When is a system said to be a causal system?
A system is said to be causal system if its output at all the instants depends on the past value and/or present value of the input. A system is said to be a non-causal system if its output at any instant depends on the future value of the input. How to check whether a system is causal or non-causal?
Which is correct stable-no or causal-no?
Also, since the output is just a sum of the input at different time lags, we can conclude that the system is linear, (4) Causal – NO: It is not causal because y[n] depends on x[n], + 1] :rþc]. (5) Stable – NO: The output is an infinite sum of the input sequence at time lags of n —+ 00.
How to determine the stability of a system?
For stability, we need to ensure that the impulse response is absolutely summable. k=oo which is finite. Thus, the system is stable (b) Since h(t) is 1 for t < 0, the system is not causal.
Which is a representation of a stable system?
A stable system is one that produces a bounded output for a bounded input. It can be represented graphically in terms of circles together with a unit circle. RoC is a representation of where the Z-transform exists. Hence, for a given x [n], the RoC is the range of z for which the output converges.