MATLAB Signal Processing

Question 1

Which MATLAB function computes the Fast Fourier Transform of a signal vector x?

Accepted Answer

fft(x)

Answer

The `fft(x)` function computes the discrete Fast Fourier Transform of the input vector x in MATLAB.

Question 2

What inputs does the MATLAB `filter(b, a, x)` function require?

Accepted Answer

Numerator coefficients b, denominator coefficients a, and input signal x

Answer

`filter(b, a, x)` applies a digital filter defined by numerator coefficients b and denominator coefficients a to the signal x.

Question 3

According to the Nyquist-Shannon theorem, what is the minimum sampling rate required to reconstruct a signal with maximum frequency f_max?

Accepted Answer

2 * f_max

Answer

The Nyquist theorem states the sampling rate must be at least twice the highest frequency component (2 * f_max) to avoid aliasing.

Question 4

Which MATLAB function designs a FIR filter using the window method given filter order n and normalized cutoff frequency Wn?

Accepted Answer

fir1(n, Wn)

Answer

`fir1(n, Wn)` designs a windowed linear-phase FIR filter of order n with normalized cutoff frequency Wn.

Question 5

What does the MATLAB `freqz(b, a)` function compute?

Accepted Answer

The frequency response of a digital filter defined by coefficients b and a

Answer

`freqz(b, a)` computes and plots the magnitude and phase frequency response of the digital filter with coefficients b and a.

MATLAB - MATLAB Technical Computing Practice Test