ABSTRACT
At the end of this chapter, you should be able to:
• derive the exponential or complex form of a Fourier series • derive the complex coefficients for a Fourier series • determine the complex Fourier series for a given function • deduce the complex coefficient symmetry relationships • understand the frequency spectrum of a waveform • determine phasors in exponential form for various sinusoidal voltages
The form used for the Fourier series in Chapters 101 to 105 consisted of cosine and sine terms.However, there is another form that is commonly used – one that directly gives the amplitude terms in the frequency spectrum and relates to phasor notation. This form involves the use of complex numbers (see Chapters 45 and 46). It is called the exponential or complex form of a Fourier series.
