----- 数字信号处理:数学与计算方法、软件开发和应用
Part I Mathematical Methods for Signal Analysis Introduction to complex analysis the delta function and the Green's function Fourmet series the Fourier transform, convolution and correlation, the sampling theorem, the Laplace transform the Hilbert transform and quadrature detection, modulation and demodulation, the wavelet transform, the z-transform, the Wigner transform. Part II Computational Techniques in Linear Algebra Basic linear algebra, types of linear systems, formal methods of solution direct methods of solution iterative improvement vector and matrix norms, conditioning and the condition number, the least squares method iterative methods of solution the conjugate gradient method the computation of eigen values and eigen vectors. Part III Programming and Software Engineering Number systems and numerical error, programming languages, software design methods, structured and modular programming software engineering for DSP in C. Part IV Digital Signal Processing Methods Algorithms and Building a Library Digital frequency filtering, the DFT and FFT, computing with the FFT, spectral leakage and windowing inverse filters, the Wiener filter, the matched filter, constrained deconvolution, homomorphic filtering noise and chaos Bayesian estimation methods, the maximum entropy method, spectral extrapolation FIR and IIR filters, non-stationary signal processing random fractal and multi-random-fractal signals.
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