Transcription of Chapter 16 Fourier Series Analysis
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Chapter 16 Fourier Series Analysis
- 257 - Chapter 16 Fourier Series Analysis Introduction Many electrical waveforms are period but not sinusoidal. For Analysis purposes, such waveform can be represented in Series form based on the original work of Jean Baptise Joseph Fourier . The application of Fourier - Series method includes signal generators, power supplies, and communication circuits. Fourier Series decomposes non-sinusoidal waveform into Series of sinusoidal components of various frequencies. With this property, frequency-domain representation or spectrum for periodic waveform is developed. The spectral concept ties the relationship between time-domain and frequency-domain properties of waveform. In this Chapter , we shall the various methods to generate Fourier Series and the application of Fourier Series in ac steady-state circuit Analysis .
16.2 Trigonometric Fourier Series Fourier series state that almost any periodic waveform f(t) with fundamental frequency ω can be expanded as an infinite series in the form f(t) = a 0 + ∑ ∞ = ω+ ω n 1 (a n cos n t bn sin n t) (16.3) Equation (16.3) is called the trigonometric Fourier series and the constant C 0, a n,
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