数字信号处理(英)

1、数字信号处理（英）大纲号： 04027704 学分：3.5 学时：56 执笔人：谷亚林 审定人：朱晓华课程性质：学科基础课一、课程的地位与作用数字信号处理是为电子信息类专业学生开设的学科基础课程，是继信号与系统课程之后的一门必修课。设置本课程的目的在于，使学生通过本课程的学习，了解“数字信号处理”这一技术领域的概貌，初步建立起有关“数字信号处理”的基本概念，掌握基本分析方法，为后续课程及从事信息处理等方面有关的研究工作打下基础。二、课程的教学目标与基本要求1教学目标通过本课程的学习，学生应掌握数字信号处理的基本原理，基本概念和分析方法，具有初步的算法分析和运用MATLAB编程的能力。2基本要求

2、（1） 掌握离散信号的产生及描述，掌握离散系统的差分方程、时域卷积分析方法表示。（2）掌握序列的变换域表示的意义、性质及其计算，包括z变换、DTFT及DFT。掌握基-2 FFT的算法概念和流程。深刻理解离散系统的频响和系统函数H（z）的概念及其计算。（3）理解数字滤波器参数的物理概念，掌握数字滤波器的常用结构及IIR数字滤波器的双线性变换设计法和FIR的窗函数法设计方法，理解连续信号的数字处理过程。三、主要内容1 Signals and Signal Processing 1.1 Characterization and Classification of Signals1.2 Ty

3、pical Signal Processing Operations1.3 Examples of Typical Signals1.4 Typical Signal Processing Applications1.5 Why Digital Signal Processing2 Discrete-Time Signals and Systems2.1 Discrete-time Signals2.1.1 Time-Domain Representation2.1.2 Operations on Sequences2.4.3 Causality Condition in Terms of t

4、he Impulse Response2.4.4 Linear Constant Coefficient Difference Equation2.5 Classification of LTI Discrete-Time Systems3 Discrete-time Fourier Transform3.1 The Continuous-Time Fourier Transform3.2 The Discrete-Time Fourier Transform3.2.1 Definition3.2.2 Basic Properties3.2.3 Symmetry Relations3.3 Di

5、screte-time Fourier Transform 3.4 DTFT Computation Using MATLAB3.5 The Unwrapped Phase Function3.6 The Frequency Response of an LTI Discrete-Time System3.6.1 The Frequency-Domain Characterization of the LTI Discrete-Time System3.6.2 The Concept of Filtering3.7 Phase and Group Delays4 Digital Process

6、ing of Continuous-time Signals4.1 Introduction4.2 Sampling of Continuous-time Signals4.3 Sampling of Bandpass Signals4.4 Analog Lowpass Filter Design4.4.1 Filter Specifications4.4.2 Butterworth Approximation4.4.3 Chebyshev Approximation4.4.4 Linear-Phase Approximation4.4.5 Analog Filter Design Using

7、 MATLAB4.5 Design of Analog Highpass Filters4.6 Anti-Aliasing Filter Design4.7 Reconstruction Filter Design6.3 z-Transform Properties6.4 The Transfer Function6.4.1 Transfer Function Expression6.4.2 Frequency Response from Transfer Function 6.4.3 Geometric Interpretation of Frequency Response Computa

8、tion6.4.4 Stability Condition in Terms of Pole Locations7. LTI Discrete-Time Systems in the Transform Domain7.1 Transfer Function Classification Based on Magnitude Characteristics7.1.1 Digital Filters with Ideal Magnitude Response7.1.2 Bounded Real Transfer Function7.1.3 Allpass Transfer Function7.2

9、 Transfer Function Classification Based on Phase Characteristics7.2.1 Zero-Phase Transfer Function 7.2.2 Linear-Phase Transfer Function7.2.3 Minimum-Phase Transfer Function7.3 Types of Linear-Phase Transfer Function7.3.1 Frequency Response for a FIR Filter with a Linear-Phase7.3.2 Zero Locations of

10、Linear-Phase FIR Transfer Functions 8 Digital Filter Structures8.1 Block Diagram Representation and Signal Flow-Graph8.2 Basic FIR Digital Filter Structures8.2.1 Direct Forms8.2.2 Cascade Form8.2.3 Polyphase Realization8.2.4 Linear-Phase FIR StructuresLinear-Phase FIR Filters10.4 FIR Digital Filter

11、Design Using MATLAB11 DFT Algorithm Implementation11.1 Computation of the DFT11.1.1 Goertzels Algorithm11.1.2 Cooley-Tukey FFT Algorithms11.1.3 Inverse DFT Computation2.1.3 Classification of Sequences 2.2 Typical Sequences and Sequence Representation2.3 Discrete-Time Systems2.3.1 Discrete-Time Syste

12、m Examples2.3.2 Classification of Discrete-Time System2.3.3 Impulse and Step Response2.4 Time-domain Characterization of LTI Discrete-time Systems2.4.1 Convolution Sum2.4.2 Stability Condition in Terms of the Impulse Response5 Finite-Length Discrete Fourier Transform5.1 Orthogonal Transform5.2 The D

13、iscrete Fourier Transform (DFT)5.2.1 Definition5.2.2 Matrix Relations5.2.3 DFT Computation Using MATLAB5.3 Relation Between the Fourier Transform and the DFT and Their Inverses5.3.1 Relation with Discrete-time Fourier Transform5.3.2 Numerical Computation of the Fourier Transform Using the DFT5.3.3 F

14、ourier Transform from DFT by Interpolation5.3.4 Sampling the Fourier Transform5.4 Operations on Finite-Length Sequences5.4.1 Circular Shift of a Sequence5.4.2 Circular Convolution5.5 Conjugate Symmetry and Conjugate Anti-symmetry sequences5.6 DFT Symmetry Relations5.7 DFT Theorems5.8 Fourier Domain

15、Filtering 5.9 Computation of the DFT of Real Sequences5.9.1 N-point DFTs of Two Real Sequences Using a Single N-point DFT5.9.2 2N-point DFTs of a Real Sequence Using a Single N-point DFT5.10 Linear Convolution Using the DFT5.10.1 Linear Convolution of Two Finite-Length Sequences5.10.2 Linear Convolu

16、tion of a Finite-Length Sequence with an Infinite-Length Sequence6 z-Transform6.1 z-Transform and ROC6.2 The Inverse z-Transform8.2.5 Tapped Delay Line8.3 Basic IIR Digital Filter Structures8.3.1 Direct Forms8.3.2 Cascade Realizations8.3.3 Parallel Realizations9 IIR Digital Filter Design9.1 Prelimin

17、ary Considerations9.1.1 Digital Filter Specifications9.1.2 Selection of the Filter Type9.1.3 Basic Approach to IIR Digital Filter Design9.1.4 IIR Digital Filter Order Estimation9.1.5 Scaling the Digital Transfer Function9.2 Bilinear Transformation Method of IIR Filter Design9.2.1 The Bilinear Transf

18、ormation9.2.2 Design of Low-Order Digital Filters9.3 Design of Lowpass IIR Digital Filters9.4 Design of Highpass IIR Digital Filters9.5 Spectral Transformations of IIR Filters9.6 IIR Digital Filter Design Using MATLAB10 FIR Digital Filter Design10.1 Preliminary Considerations10.1.1 Basic Approaches

19、to FIR Digital Filter Design10.1.2 Estimation of the Filter Order 10.2 FIR Filter Design Based on Windowed 10.2.1 Least Integral-Squared Error Design of FIR Filters10.2.2 Impulse Responses of Ideal Filters10.2.3 Gibbs Phenomenon10.2.4 Fixed Window Functions10.2.5 Adjustable Window Functions10.2.6 Im

20、pulse Responses of FIR Filters with a Smooth Transition10.3 Computer-Aided Design of Equiripple 11.2 DFT and IDFT Computation Using MATLAB11.3 Sliding DFT11.4 DFT Computation Over a Narrow Frequency Band11.4.1 Zoom FFT11.4.2 Chirp Fourier Transform 四、时间分配课程分段标识序号教学内容教学环节（学时）讲课习题实验上机课外小计V1Signals and

21、 Signal Processing222Discrete-Time Signals and Systems443Discrete-time Fourier Transform444Digital Processing of Continuous-time Signals445Finite-Length Discrete Fourier Transform776z-Transform447LTI Discrete-Time Systems in the Transform Domain448Digital Filter Structures4489IIR Digital Filter Desi

22、gn4410FIR Digital Filter Design42611DFT Algorithm Implementation729总 计48856五、课程说明课程英文名称DIGITAL SIGNAL PROCESSING主要先修课程高等数学、工程数学、信号与系统、数字逻辑电路适用专业类别电子信息工程、通信工程、信息对抗技术、探测制导与控制技术等相关专业主要教材（作者、教材名称、出版社）1Sanjit K.Mitra，阔永红改编，数字信号处理-基于计算机的方法，（第三版，英文改编版），电子工业出版社2A.V.奥本海姆等著，刘树棠等译，离散时间信号处理，西安交通大学出版社 考核方式由平时考查、实验和期末考试（闭卷，笔试