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ECE :: Signals and Systems

  1. cos(nω1t) =

  2. A.
    0.5 (ejnω1t + e-jnω1t)
    B.
    0.05
    C.
    (ejnω1t + e-jnω1t)
    D.
    (ejnω1t - e-jnω1t)

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  3. Fourier transform of e-a|t| is

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  5. Assertion (A): The wave shown in the given figure does not contain the dc component and even harmonics

    Reason (R): If f(- t) = f(t) the wave has only cosine terms.

  6. A.
    Both A and R are correct and R is correct explanation of A
    B.
    Both A and R are correct but R is not correct explanation of A
    C.
    A is true, R is false
    D.
    A is false, R is true

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  7. If xk = 0 for k < 0 and xk = 2k for k 3 0, X(z) i.e., Z transform of sequence x is

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  9. The function δ'(t - b) is a unit doublet.

  10. A.
    True
    B.
    False

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  11. If £ f(t) = F(jω), then

  12. A.
    (jω)n F(jω)
    B.
    F(jω)/(jω)n
    C.
    (jω)n-1 F(jω)
    D.
    (b) F(jω)/(jω)n-1

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  13. The value of P(2 < x < 3) in function f(x) = K(x - 1) for K = 1 < x < 4 is

  14. A.
    B.
    1/3
    C.
    2/3
    D.
    1

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  15. Assertion (A): For the determinant the minor for
    a11 is

    Reason (R): The minor of any element of a determinant ajk is the determinant which remains when the row and column corresponding to ajk are deleted.

  16. A.
    Both A and R are correct and R is correct explanation of A
    B.
    Both A and R are correct but R is not correct explanation of A
    C.
    A is true, R is false
    D.
    A is false, R is true

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  17. The inverse response of a system h(n) = an∪(n) what is the condition for the system to be BIBO stable?

  18. A.
    a is real and +ve
    B.
    a is real and -ve
    C.
    |a| > 1
    D.
    |a| < 1

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  19. A system has poles at 0.01 Hz, 1 Hz and 80 Hz, zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is

  20. A.
    -90°
    B.
    C.
    90°
    D.
    -180°

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