Chapter 5. Frequency Analysis
The Fourier Transform
Imagination is the beginning of creation. You imagine what you desire, you will what you imagine, and at last you create what you will.
George Bernard Shaw (1856–1950) Irish dramatist
In this chapter we continue the frequency analysis of signals. In particular, we will concentrate in the following issues:
■ Generalization of the Fourier series—The frequency representation of signals as well as the frequency response of systems are tools of great significance in signal processing, communications, and control theory. In this chapter we will complete the Fourier representation of signals by extending it to aperiodic signals. By a limiting process the harmonic representation of periodic ...