Chapter 2: Signal and system (4 hours)
Basic concepts and types of signals and systems, their representation.
Chapter 3: Difference equation and convolution (6 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 (6 hours)
Fourier series, Fourier transform and inverse transform, properties, signal modulation and
demodulation, frequency response, fast Fourier transform.
Chapter 7: Sampling theorem (4 hours)
Sampling theorem, aliasing and leakage, windowed Fourier transform.
Chapter 8: Principle and characteristics of filter (4 hours)
Finite impulse response filer (FIR) and infinite impulse response filter (IIR), realization
of filters by MATLAB.
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 and compressed sensing (4 hours)
Principle component analysis (PCA), Independent component analysis (ICA), basic
principle and application of compressed sensing.
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.