Abstract
Starting from definitions of a linear system, random data and process, the statistical properties of random data, correlation analysis, spectral analysis, the Fourier transform, the impulse response function and the frequency response function are introduced. The digital FFT analysis process is illustrated. The relationships between the correlation function and the power density spectrum function, between the impulse response function and the frequency response function, and between the Fourier spectrum function and the power spectrum function are established. The definition and physical meaning of the coherence function are illustrated. Frequently encountered random signals and their conversions are demonstrated.
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