BEE Signals & Systems 5

Question 1

The bilateral Laplace transform differs from the unilateral Laplace transform in that it integrates from:

Accepted Answer

-∞ to ∞

Answer

The bilateral (two-sided) Laplace transform integrates over all time from -∞ to ∞, capturing non-causal signals.

Question 2

The frequency response H(e^(jω)) of a discrete-time system is evaluated from H(z) by substituting:

Accepted Answer

z = e^(jω)

Answer

The DTFT is obtained by evaluating the Z-transform on the unit circle, i.e., z = e^(jω).

Question 3

An all-pass system has a magnitude response |H(jω)| that is:

Accepted Answer

Constant (unity) for all ω

Answer

An all-pass filter passes all frequencies with equal gain (unity magnitude) while altering only the phase.

Question 4

The group delay of a system is defined as:

Accepted Answer

-dφ(ω)/dω

Answer

Group delay τ_g(ω) = -dφ(ω)/dω, representing the delay experienced by a narrowband signal centered at ω.

Question 5

A signal x(t) is said to be even if:

Accepted Answer

x(t) = x(-t)

Answer

An even signal satisfies x(t) = x(-t), meaning it is symmetric about the vertical axis.

BEE - Bachelor of Electrical Engineering Practice Test