DIGITAL SIGNAL PROCESSING Mock Exam 8 Mock Exam 8

What is the primary function of an Analog-to-Digital Converter (ADC) in a DSP system?

A continuous-time signal $x(t)$ is sampled with a sampling period of $T_s = 0.01$ seconds. What is the corresponding sampling frequency $f_s$ in Hz?

Which of the following properties is NOT a standard property of the Discrete Fourier Transform (DFT)?

A signal contains frequency components up to a maximum of 40 Hz. According to the Nyquist sampling theorem, what is the minimum sampling frequency required to accurately reconstruct this signal?

A discrete-time signal $x[n]$ is defined for $n = 0, 1, 2, ..., N-1$. What is the computational complexity of directly computing its Discrete Fourier Transform (DFT) using the definition?

Which of the following is a primary advantage of digital signal processing (DSP) over analog signal processing?

If a signal is sampled at a rate of 60 Hz, what is the Nyquist frequency?

What is the primary consequence of violating the Nyquist sampling theorem?

Consider a continuous-time signal $x(t) = \cos(2\pi 20t)$. If this signal is sampled at a rate of 45 Hz, will aliasing occur? Explain your reasoning.

A signal is sampled at 1000 Hz. If the highest frequency component in the original signal is 400 Hz, is the sampling rate sufficient to avoid aliasing? Explain your reasoning.