Understand various signal processing tools like Fourier series, Fourier transform, Power spectral density etc. for analyzing the signal
Which mathematical property of the Fourier Transform explains why time-domain convolution corresponds to frequency-domain multiplication?
What effect does time reversal have on the Fourier Transform of a signal x(t)?
If x(t) is real and even, what is the nature of its Fourier Transform X(f)?
Why does a rectangular window in the time domain lead to spectral leakage in the frequency domain?
Which of the following is a necessary condition for a signal to have a Fourier Transform?
What is the relationship between the bandwidth of a signal and the width of its Fourier Transform?
What is the Fourier Transform of a triangular pulse?
If a signal x(t) is scaled in time as x(at), what happens to its Fourier Transform X(f)?
What is the Fourier Transform of a signal x(t) sampled at a rate fs?
What happens to the Fourier Transform of a signal when the signal is convolved with a filter in the time domain?