6.1 Introduction6.2 Periodic Signals6.3 Non-periodic Signals6.4 The Discrete Fourier Transform6.5 The Fast Fourier Transform Algorithms6.6 Properties of the Discrete Fourier Transform6.7 Spectral Analysis Using the FFT6.8 Spectral Windows6.9 Fast Convolution, Filtering and Correlation Using the FFT6.10 Use of MATLAB®6.11 Conclusion