Text: Oppenheim, Schafer and Buck, Discrete-Time Signal Processing, 3^rd ed., Prentice Hall, 2010

教材:《离散时间信号处理》第三版，奥本海姆，电子工业出版社，2015

Recommended: Ingle and Proakis, Digital Signal Processing using Matlab, 2^nd ed., Thomson-Engineering, 2006

1. Discrete-time signals and systems (chapter 2)(第2章:离散时间信号与系统)

1. Discrete-time signals as sequences(离散时间序列)

2. Properties of discrete-time systems(离散时间系统的性质)

3. Linear time-invariant systems(线性时不变系统)

4. Difference equations(差分方程)

5. Frequency domain and Fourier transforms(频域与傅里叶变换)

2. z-Transforms (chapter 3)(第3章:z变换)

1. Definition of the z-transform(z变换的定义)

2. Convergence(收敛性)

3. Inverse z-transform(z逆变换)

4. Properties(z变换的性质)

3. Sampling continuous-time signals (chapter 4)(第4章:连续时间信号的采样)

1. Frequency domain representation of sampling(采样的频域描述)

2. Reconstruction(重构)

3. Multirate signal processing(多速率信号处理)

4. A/D and D/A conversion(A/D与D/A转换)

4. Transform analysis of LTI systems (chapter 5)(第5章:LTI系统的变换分析)

1. Frequency response(频率响应)

2. System functions(系统函数)

3. Analysis of magnitude and phase(幅度和相位分析)

5. Structure for d-t systems (chapter 6)(第6章:离散时间系统的结构)

1. Structures for FIR and IIR filters(FIR和IIR滤波器的结构)

2. Quantization and noise(量化与噪声)

6. Filter design (chapter 7)(第7章:滤波器设计方法)

1. IIR systems(IIR系统)

2. FIR-windowing methods(FIR窗函数设计法)

3. FIR-optimal approximation methods(FIR最优逼近法)

7. Discrete Fourier Transforms (chapter 8 & 9)(第8、9章:离散傅里叶变换)

1. DFT(离散傅里叶变换)

2. Discrete cosine transform(离散余弦变换)

3. Fast Fourier transform(快速傅里叶变换)

This course is aimed at students who want a deeper presentation of digital signal processing than offered in an introductory undergraduate course on DSP. The course emphasizes the mathematical development of the fundamental principles of DSP, i.e., theory. As a result, less emphasis will be given to computer demonstrations and programming than in an introductory course.

Students are expected to have a good background in continuous-time signals and systems, including linear time-invariant signals and systems, the Fourier transform, and the Laplace transform. It may be helpful if students have already had an introductory course that includes some of the principles of DSP such as sampled systems, the z-transform and FIR filters. However, these are not a requirement, but the class will move somewhat quickly through the chapter on discrete-time signals and systems (chapter 2 of Oppenheim and Schafer).

After completing the course, students should have a solid background in the principles of digital signal processing and be prepared for more specialized and advanced topics in DSP and communication theory.