Signals and Systems - ECE Questions and Answers

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If the number of ways an event may result ins analysed into m successes and n failures, each equally likely to occur, the probability of success in a single trial is m( m + n)

True

False

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If n is the number of observations and r is the residue, the standard deviation σ =

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Which one is correct option about ROC?

ROC does not contain any pole

ROC of finite duration sequence is entire plane expect z = 0, z = ∞

a and b

only a

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Assertion (A): The scalling theroem in Laplace transform relates the scale changes in s domain to the consequent changes in t domain.

Reason (R): If

Both A and R are correct and R is correct explanation of A

Both A and R are correct but R is not correct explanation of A

A is true, R is false

A is false, R is true

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The integral of a unit impulse is unit step function.

True

False

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If X(z) = (1 - az^-1)^-1 and |a| < |z|, the initial value x₀ = 0

True

False

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Assertion (A): The exponential form of Fourierseries is

Reason (R): If f(t) is an even function, the coefficients F_n are real.

Both A and R are correct and R is correct explanation of A

Both A and R are correct but R is not correct explanation of A

A is true, R is false

A is false, R is true

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The z transform of f_k = a^k is

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In the given figure f(t) is an even function.

True

False