B CompE Bachelor of Computer Engineering Signals and Systems

Question 1

Which of the following best describes a continuous-time signal?

Accepted Answer

A signal defined for all real values of time

Answer

A continuous-time signal is defined for every real value of t, distinguishing it from discrete-time signals that are defined only at integer time instants.

Question 2

The Fourier Transform of a time-domain signal decomposes it into:

Accepted Answer

A continuous spectrum of sinusoidal components at different frequencies

Answer

The Fourier Transform represents a signal as a continuous spectrum of sinusoids, revealing how signal energy is distributed across frequencies.

Question 3

The integral of the unit impulse function δ(t) over all time equals:

Accepted Answer

1

Answer

By definition, ∫δ(t)dt = 1 over all time; this normalization is the fundamental property that makes the impulse useful in system analysis.

Question 4

Convolution of two signals in the time domain corresponds to which operation in the frequency domain?

Accepted Answer

Multiplication

Answer

The Convolution Theorem states that convolution in the time domain equals pointwise multiplication in the frequency domain, simplifying computation.

Question 5

The Laplace Transform of the unit impulse function δ(t) is:

Accepted Answer

1

Answer

Applying the sifting property, L{δ(t)} = ∫δ(t)e^(−st)dt = e^0 = 1 for all valid s.

B CompE Bachelor of Computer Engineering Practice Test

B CompE Bachelor of Computer Engineering Practice Test

B CompE Bachelor of Computer Engineering Signals and Systems