Question

What are the mathematical tools to convert a system from a time domain to frequency domain?

(a) Fourier series, Fourier transform,  Laplace transform, Z-transform

(b) Fourier series only

(c) Fourier series and Laplace transform only

(d) Fourier series, Fourier transform and Laplace transform only

The question was posed to me in a job interview.

My question comes from BIBO Stability & Systems in the Time Domain in section Signals and Systems Basics of Signals and Systems

Answer 1

Right choice is (a) Fourier series, Fourier transform,  Laplace transform, Z-transform

Explanation: Fourier series, Fourier transform, Laplace transform, z-transform are some tools to convert a system from a time domain to frequency domain analysis to make it simpler. In fact, the concept of frequency domain has emerged from these transformations. It was first given by Joseph Fourier.