Fourier Series and Fourier Transform
IN THIS CHAPTER
15.2 The Fourier Series
15.3 Symmetry of the Function f(t)
15.4 Fourier Series of Selected Waveforms
15.5 Exponential Form of the Fourier Series
15.6 The Fourier Spectrum
15.7 Circuits and Fourier Series
15.8 Using PSpice to Determine the Fourier Series
15.9 The Fourier Transform
15.10 Fourier Transform Properties
15.11 The Spectrum of Signals
15.12 Convolution and Circuit Response
15.13 The Fourier Transform and the Laplace Transform
15.14 How Can We Check … ?
15.15 DESIGN EXAMPLE—DC Power Supply
This chapter introduces the Fourier series and the Fourier transform. The Fourier series represents a nonsinusoidal periodic waveform as a sum of sinusoidal waveforms. The Fourier series is useful to us in two ways:
- The Fourier series shows that a periodic waveform consists of sinusoidal components at different frequencies. That allows us to think about the way in which the waveform is distributed in frequency. For example, we can give meaning to such expressions as “the high-frequency part of a square wave.”
- We can use superposition to find the steady-state response of a circuit to an input represented by a Fourier series and, thus, determine the steady-state response of the circuit to the periodic waveform.
We obtain the Fourier ...