Chapter 1: Introduction (2 hours)
The contents and objectives of this course, study method, history of signal processing.
Chapter 2: Signal and system (6 hours)
Basic concepts and types of signals and systems, their representation.
Chapter 3: Difference equation and convolution (8 hours)
System difference equation, impulse response, convolution theorem, computation of system outputs.
Chapter 4: Laplace transform (4 hours)
Laplace transform and inverse transform, properties, solve difference equations using Laplace transform.
Chapter 5: Z transform (4 hours)
Z transform and inverse transform, properties, region of convergence, zeros and poles, system transfer function.
Chapter 6: Fourier transform (12 hours)
Fourier series, Fourier transform and inverse transform, properties, signal modulation and demodulation, frequency
response, fast Fourier transform.
Chapter 7: Sampling theorem (6 hours)
Sampling theorem, aliasing and leakage, windowed Fourier transform.
Chapter 8: Principle and characteristics of filter (10 hours)
Finite impulse response filer (FIR) and infinite impulse response filter (IIR), realization of filters by MATLAB, geophysical
data denoising.
Chapter 9: Time-frequency analysis (6 hours)
Short-term Fourier transform, Gabor transform, Wavelet transform and their realization by MATLAB.
Chapter 10: Correlation analysis and power spectrum estimation (4 hours)
Correlation coefficient, autocorrelation, cross correlation, auto-power spectral density, cross power spectral density.
Chapter 11: Multivariate statistical analysis (2 hours)
Eigenvalue and eigenvector, Principle component analysis (PCA),basic principle and application.
1. Oppenheim, Alan V., Ronald W. Schafer, and John R. Buck. Discrete-Time Signal Processing. 2nd ed. Upper Saddle
River, NJ: Prentice Hall, 1999. ISBN: 9780137549207.
2. 程佩青. 《数字信号处理教程》. 第三版. 北京:清华大学出版社,2007.
3. 万永革. 《数字信号处理的 MATLAB 实现》. 第二版. 北京:科学出版社, 2012.