In this chapter, other orthogonal sets of signals are set aside to concentrate on the complex exponential e+j2πft. The complex Fourier series for periodic signals is logically extended into a continuous function of frequency suitable for both periodic and nonperiodic signals. A thorough study of the continuous Fourier transform reveals the properties that make this transform technique a classic tool in signals analysis. By relating the time-domain and frequency-domain behavior of signals, the Fourier transform provides a unique perspective on the behavior of signals and systems. The Fourier transform also forms the basis for the Laplace transform in Chapter 7 and the z-transform of Chapter 9.
By the end of this chapter, the reader will be able to:
In Chapter ...