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y(t) = sin(x(t-1)) : Comment on its memory aspects.
- a)Having memory
- b)Needn’t have memory
- c)Memoryless system
- d)Time invariant system
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
y(t) = sin(x(t-1)) : Comment on its memory aspects.a)Having memoryb)Ne...
The output at any time t = A, requires knowing the input at an earlier time, t = A – 1, hence making the system require memory aspects.
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y(t) = sin(x(t-1)) : Comment on its memory aspects.a)Having memoryb)Ne...
A) Having memory. The function y(t) = sin(x(t-1)) has memory because it depends on the previous value of x(t). The value of x(t-1) affects the output of y(t), so it has a memory of the past values of x(t).
b) Needing memory. Since y(t) = sin(x(t-1)) depends on x(t-1), it requires the past value of x(t) to be stored or remembered in order to compute the current value of y(t). Therefore, it needs memory to keep track of the previous value.
b) Needing memory. Since y(t) = sin(x(t-1)) depends on x(t-1), it requires the past value of x(t) to be stored or remembered in order to compute the current value of y(t). Therefore, it needs memory to keep track of the previous value.
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