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Home ‣ Electronics and Communication Engineering ‣ Signals and Systems Comments
- Question
Options- Correct Answer
- y[n] = x[n] + x[n - 10]
ExplanationFor linearityy1[n] = x1[n] + x2[n - 10] ...(1)
y2 = x2[n] + x2[n - 10] ...(2)
y1[n] = x1[n] + x2[n] + x2[n - 10] + x2[n - 10] ...(3)
Now find y1[n] + y2[n]
Corresponding to x1[n] + x2[n]
It is same as equation (3) hence linear.
But in part (c) y[n] = x2[n]
? y1[n] = x21[n], y2[n] = x22[n]? y1[n] + y2[n] = x22[n]...3
But y1[n] + y2[n]
Corresponing x1[n] + x2[n] is y1[n] + y2[n] = {x1[n] + x2[n]}2
= x12[n] + x22[n] + 2x1[n] x2[n]....4
Equations (3) and (4) are not same hence not linear.
Signals and Systems problems
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Discuss
Correct Answer: 1/300
Explanation:
m (t) = 4 cos 100 pt + 8 sin 200 pt + cos 300 ptNyquist sampling freq fs ? 2fm where fm is highest frequency component in given signal and highest fm in 3rd part
2pfmt = 300 pt
fm = 150 Hz
fs = 2 x 150 p 300 Hz
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Options- C.
- D.
Discuss
Correct Answer: e-st F(s)
Explanation:
A linear system is one in which the relationship between input and output is linear.All linear system possess the property of superposition i.e., if input u1 gives output y1 and input u2 gives output y2 then input u1 + u2 will give output y1 + y2.
Superposition implies homogencity i.e., if input u gives output y, then input ku gives output ky where k is a rational number.
In general a system is linear if a transformation T satisfies the relation
T(au1 + ?u2) = aT(u1) + ?T(u2)
where a and ? are constant.
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