Fourier and Signal Analysis

Course Description

Fourier series. Convergence of Fourier series. Fourier and inverse Fourier transformations. Fourier spectrum, discrete and continuous signals. Shannon sampling theorem, filter and convolution. Z-transform, linear time-invariance, filter, and system. Impulse (delta-) function, Hilbert transformation, and analytic signal. Physically realizable signals, Hardy spaces, FFT, correlation analysis, full-pass filter, minimum phase, and minimum energy signals. Phase delay and group delay. Window Fourier transform. Time-frequency distribution. Phase derivative and instantaneous frequency. Rational orthonormal system. Adaptive Fourier expansion.


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