B CompE Bachelor of Computer Engineering Signals and Systems 2

Question 1

A Linear Time-Invariant (LTI) system must satisfy which two fundamental properties?

Accepted Answer

Linearity and time-invariance

Answer

Causality and stability

Answer

Periodicity and symmetry

Answer

Memorylessness and invertibility

Question 2

The impulse response h(t) of an LTI system is defined as:

Accepted Answer

The output when the input is a unit impulse δ(t)

Answer

The output when the input is a unit ramp function

Answer

The Fourier Transform of the system's transfer function

Answer

The integral of the step response

Question 3

The transfer function H(s) of an LTI system is the Laplace Transform of:

Accepted Answer

The impulse response h(t)

Answer

The input signal x(t)

Answer

The output signal y(t)

Answer

The step response s(t)

Question 4

According to the Nyquist sampling theorem, a band-limited signal with maximum frequency f_max must be sampled at a minimum rate of:

Accepted Answer

2 × f_max

Answer

f_max

Answer

f_max / 2

Answer

4 × f_max

Question 5

Aliasing in a sampled signal occurs when:

Accepted Answer

The sampling rate is less than twice the signal bandwidth

Answer

The sampling rate equals exactly twice the signal bandwidth

Answer

The sampling rate exceeds twice the signal bandwidth

Answer

The signal has no high-frequency components

Question 6

A system is BIBO stable if and only if:

Accepted Answer

Its impulse response is absolutely integrable (∫|h(t)|dt < ∞)

Answer

Its input signal is always bounded

Answer

Its transfer function has poles on the imaginary axis

Answer

Its impulse response is periodic and bounded

Question 7

A causal system is one in which the output depends only on:

Accepted Answer

Past and present values of the input

Answer

Future values of the input

Answer

The derivative of the input signal

Answer

The frequency content of the input