Control and Measurement of Unintentional Electromagnetic Radiation

APPENDIX B

BASIC VOLTAGE WAVEFORM FOURIER COEFFICIENTS

B.1 INDEFINITE INTEGRALS

The following indefinite integrals will be used in determining the Fourier coefficients of the basic voltage waveforms v₁(t), v₂(t), v₃(t) and v₄(t):

The equal expressions ω_n = 2πf_n = 2πnf = 2πn/T will be substituted for one another whenever it is appropriate.

B.2 THE BASIC VOLTAGE WAVEFORM v₁(t)

The basic voltage v₁(t) is defined for one full period, as follows:

Therefore,

This follows from trigonometric identity A-13 of Appendix A, in the form

This follows from trigonometric identity A-9 of Appendix A, in the form

B.3 THE BASIC VOLTAGE WAVEFORM v₂(t)

The basic voltage waveform v₂(t) is defined for one full period, as follows:

Therefore,

where

The final expression for b_2n results from the above definition ...