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Appendix A Fourier transformAppendix A Fourier Transform

CCU Wireless Comm. Lab

Appendix A
) Appendix A Fourier Transform A A.1 Fourier series A A.2 Fourier transform
A.2.1 Fourier Transform of Real, Even, and Odd Signals

A A.3 Discrete-time Fourier Transform (DTFT and its inverse) A A.4 Discrete Fourier transform (DFT and its inverse) A.4.1 Properties of the DFT A A.5 Fast Fourier transform (FFT) and its inverse

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CCU Wireless Comm. Lab

A.1 Fourier Series
) [Fourier Series] Let the signal x(t) be a periodic signal with period T0.If the following conditions are satisfied 1. x(t) is absolutely integrable over its period

1/21

∫

T0

0

| x (t ) |dt < ∞

2. The number of maxim and minima of x(t) in each period is finite 3. The number of discontinuous of x(t) in each period is finite then x(t) can be expanded