BEE FREE Bachelor of Electrical Engineering Signals & Systems Questions and Answers 2

Question 1

What is the Nyquist sampling rate for a signal with a maximum frequency component of 4 kHz?

Accepted Answer

8 kHz

Answer

The Nyquist rate is twice the maximum frequency, so 2 × 4 kHz = 8 kHz.

Question 2

Which property of the Fourier Transform states that multiplication in the time domain corresponds to convolution in the frequency domain?

Accepted Answer

Convolution theorem

Answer

The convolution theorem states that multiplication in one domain equals convolution in the other domain.

Question 3

A system with impulse response h(t) = e^(-2t)u(t) is classified as what type of system?

Accepted Answer

Stable and causal

Answer

The impulse response is zero for t < 0 (causal) and absolutely integrable (stable).

Question 4

What does the Region of Convergence (ROC) of a causal signal in the Laplace domain look like?

Accepted Answer

A right-half plane extending to the right of the rightmost pole

Answer

For causal signals, the ROC is a right-half plane to the right of the rightmost pole.

Question 5

If x(t) is an even signal, what can be said about its Fourier Transform X(ω)?

Accepted Answer

X(ω) is purely real

Answer

The Fourier Transform of a real and even signal is purely real and even.

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