山大《生物醫(yī)學(xué)信號處理》教學(xué)大綱（雙語）

1、生物醫(yī)學(xué)信號處理教學(xué)大綱（雙語）Syllabus of Biomedical Signal Processing (Bilingual course)課程編號：17078000 學(xué)分：4 參考學(xué)時：58 實驗學(xué)時：12 Course No.: 17078000 credit ：4 credit hours：58 experiment hours：12上機(jī)學(xué)時： 適用專業(yè)：生物醫(yī)學(xué)工程系 各專業(yè) Computer time: Suitable Specialty: Biomedical Engineering 大綱執(zhí)筆人：劉忠國 課程負(fù)責(zé)人：劉忠國 Written by: Zhongguo Li

2、u person in charge of course: Zhongguo Liu一課程目的和任務(wù)Objectives and tasks of the course 本課程是生物醫(yī)學(xué)工程專業(yè)本科生必選的專業(yè)基礎(chǔ)課。本課程旨在讓學(xué)生掌握生物醫(yī)學(xué)信號處理的基本原理、算法和設(shè)計應(yīng)用技術(shù)。主要培養(yǎng)學(xué)生對獲取的各種原始生物醫(yī)學(xué)信息如何進(jìn)行有效的信號加工處理的技能，為醫(yī)療、生命科學(xué)領(lǐng)域服務(wù)。本課程使學(xué)生牢固掌握離散時間信號和系統(tǒng)分析的基本原理和基本分析方法。深入理解離散傅里葉變換的基本原理，學(xué)會應(yīng)用離散傅里葉變換快速算法解決信號分析問題的方法。掌握數(shù)字濾波器的設(shè)計原理和實現(xiàn)方法。學(xué)會生物醫(yī)學(xué)信號分析的

3、基本方法。本課程的目的是為學(xué)生進(jìn)一步學(xué)習(xí)有關(guān)生物醫(yī)學(xué)信號工程方面的課程打下良好的理論基礎(chǔ)。 This course is one specialized core course among the compulsory courses of Specialty of Biomedical Engineering. The task of the course is to teach the students the knowledge of fundamental principle and analysis methods of biomedical signal processing. T

4、hrough the course the students can learn the knowledge of fundamental principle and analysis methods of Discrete-Time Signals and Systems, principle of Fourier Transform, methods of solving problems of signal analysis through Fast Fourier Transform, Filter Design Techniques, and basic methods of ana

5、lyzing biomedical signals. The objective of this course is to make the students be familiar with the fundamental theory of signal processing and be prepared for further study of other courses.二課程的基本要求 Basic requirements of the course本課程的理論教學(xué)應(yīng)使學(xué)生學(xué)會數(shù)字信號處理的理論、相應(yīng)的算法及這些算法的軟件實現(xiàn)。內(nèi)容離散時間信號與離散時間系統(tǒng)的基本概念、及離散時間系

6、統(tǒng)分析、Z變換、離散時間信號的傅立葉變換及DFT、傅立葉變換的快速算法、離散時間系統(tǒng)的相位、結(jié)構(gòu)與狀態(tài)變量描述、數(shù)字濾波器（IIR、FIR及特殊形式的濾波器）設(shè)計。通過實驗培養(yǎng)學(xué)生總體上了解和掌握利用計算機(jī)編程實現(xiàn)教科書中學(xué)過的數(shù)字信號常用的處理方法和技能，要求學(xué)生理解實驗原理及實驗方案等。 In theory teaching, the students can learn the theory, algorithms and the implementation of algorithms of digital signal processing from this course. The

7、 contents include the following: concepts of Discrete-Time Signals and Systems, Transform Analysis of Linear Time-Invariant Systems, The z-Transform, Structures for Discrete-Time Systems，F(xiàn)ilter (IIR、FIR) Design Techniques，The Discrete Fourier Transform, Fast Computation of the Discrete Fourier Trans

8、form and Fourier Analysis of Biomedical Signals Using the Discrete Fourier Transform. In experiment teaching, the students can learn the programming techniques and methods to implement the basic signal processing algorithms.該課程的前續(xù)課程為：信號與系統(tǒng)。后續(xù)課程為DSP原理與應(yīng)用等。通過前續(xù)課程信號與系統(tǒng)的學(xué)習(xí)，讓學(xué)生對信號與系統(tǒng)的基本概念有深刻理解，對信號變換與處理的基

9、本方法有初步了解。從而在學(xué)習(xí)本課程時，具有基本的信號理論基礎(chǔ)。在本課程中，將使學(xué)生對數(shù)字信號理論有深入的了解，并通過學(xué)習(xí)使學(xué)生掌握數(shù)字信號基本概念，數(shù)字信號處理的常用方法。從而為后續(xù)的DSP器件設(shè)計奠定良好的理論基礎(chǔ)。The course of signal and systems should be learned before this course and after this course follows the course of DSP theory and application. Since the students have learned the basic concept

10、s and principle of signal and systems from the course of signal and systems, students can understand the theory and methods of biomedical signal processing easily, and can be prepared for further study of DSP device. 三教學(xué)內(nèi)容 contents of course第1章生物醫(yī)學(xué)信號處理緒論Biomedical signal processing introduction 2學(xué)時第

11、2章離散時間信號與系統(tǒng)Discrete-Time Signals and Systems 6學(xué)時2.1離散時間信號:序列Discrete-time Signals: Sequences2.2離散時間系統(tǒng)Discrete-time Systems 2.3線性時不變系統(tǒng)Linear Time-Invariant Systems 2.4線性時不變系統(tǒng)的性質(zhì)Properties of Linear Time-Invariant Systems2.5線性常系數(shù)差分方程Linear Constant-Coefficient Difference Equations. 2.6 離散時間信號與系統(tǒng)的頻域表示F

12、requency-Domain Representation of Discrete-Time Signals and Systems 2.7用傅里葉變換表示序列Representation of Sequence by Fourier Transforms2.8傅里葉變換的對稱性質(zhì)Symmetry Properties of the Fourier Transform2.9傅里葉變換定理Fourier Transform Theorems第3章Z變換The z-Transform 4學(xué)時3.1Z變換The z-Transform3.2Z變換收斂域的性質(zhì)Properties of the Re

13、gion of Convergence for the z-Transform3.3Z反變換The Inverse z-Transform3.4Z變換的性質(zhì)z-Transform Properties第4章 線性時不變系統(tǒng)的變換分析Transform Analysis of Linear Time-Invariant Systems 8學(xué)時4.1LTI系統(tǒng)的頻率響應(yīng)The Frequency Response of LTI Systems4.2用線性常系數(shù)差分方程表征系統(tǒng)的系統(tǒng)函數(shù)System Functions for Systems Characterized by Linear Cons

14、tant-Coefficient Difference Equations4.3有理系統(tǒng)函數(shù)的頻率響應(yīng)Frequency Response for Rational System Functions.4.4幅度和相位之間的關(guān)系Relationship Between Magnitude and Phase4.5全通系統(tǒng)All-Pass Systems 4.6最小相位系統(tǒng)Minimum-Phase Systems 4.7廣義線性相位的線性系統(tǒng)Linear Systems with Generalized Linear Phase第5章離散時間系統(tǒng)結(jié)構(gòu)Structures for Discrete

15、-Time Systems 10學(xué)時 5.1線性常系數(shù)差分方程的方框圖表示Block Diagram Representation of Linear Constant-Coefficient Difference Equations 5.2 線性常系數(shù)差分方程的信號流圖表示Signal Flow Graph Representation of Linear Constant-Coefficient Difference Equations 5.3IIR系統(tǒng)的基本結(jié)構(gòu)Basic Structures for IIR Systems 5.4轉(zhuǎn)置形式Transposed Forms 5.5 FIR

16、系統(tǒng)的基本網(wǎng)絡(luò)結(jié)構(gòu)Basic Network Structures for FIR Systems第6章濾波器設(shè)計方法Filter Design Techniques 8學(xué)時 6.1由連續(xù)時間濾波器設(shè)計離散時間IIR濾波器Design of Discrete-Time IIR Filters from Continuous-Time Filters 6.2 用窗函數(shù)法設(shè)計FIR濾波器Design of FIR Filters by Windowing 6.3Kaiser窗法設(shè)計FIR濾波器舉例Examples of FIR Filter Design by the Kaiser Window

17、Method 6.4FIR濾波器的最佳逼近Optimum Approximations of FIR Filters 6.5FIR等波紋逼近舉例Examples of FIR Equiripple Approximation第7章離散傅里葉變換The Discrete Fourier Transform 10學(xué)時 7.1周期序列的表示：離散傅里葉級數(shù)Representation of Periodic Sequences: the Discrete Fourier Series 7.2 離散傅里葉級數(shù)的性質(zhì)Properties of the DFS Representation of Peri

18、odic Sequences 7.3周期信號的傅里葉變換The Fourier Transform of Periodic Signals 7.4對傅里葉變換來樣Sampling the Fourier Transform 7.5有限長序列的傅里葉表示：離散傅里葉變換Fourier Representation of Finite-Duration Sequences: The Discrete-Fourier Transform 7.6離散傅里葉變換的性質(zhì)Properties of the Discrete Fourier Transform 7.7用離散傅里葉變換實現(xiàn)線性卷積Linear

19、Convolution Using the Discrete Fourier Transform第8章 離散傅里葉變換的計算Computation of the Discrete Fourier Transform 4學(xué)時 8.1離散傅里葉變換的高效計算Efficient Computation of the Discrete Fourier Transform 8.2 按時間抽取的FFT算法Decimation-in-Time FFT Algorithms 8.3按頻率抽取的FFT算法Decimation-in-Frequency FFT Algorithms第9章 信號處理在生物醫(yī)學(xué)中的應(yīng)

20、用Application of DSP in BME 4學(xué)時主要講述以MATLAB函數(shù)進(jìn)行信號處理編程的例程，通過腦電、心電等生物醫(yī)學(xué)信號的MATLAB編程處理實例闡述信號處理在生物醫(yī)學(xué)中的應(yīng)用方法。 In this chapter programming of signal processing algorithms using MATLAB software is discussed especially the programming of biomedical signal such as EEG and ECG.四、實驗內(nèi)容 Experiment contents實驗1：離散時間信號

21、與系統(tǒng)的分析Discrete-Time Signals and Systems analysis實驗2：線性時不變系統(tǒng)的Z變換分析Z-transform analysis of LTI system實驗3：應(yīng)用FFT對信號進(jìn)行頻譜分析Spectrum analysis of signal using FFT實驗4：IIR濾波器的設(shè)計與信號濾波Design of IIR Filters 實驗5：用窗函數(shù)法設(shè)計FIR數(shù)字濾波器Design of FIR Filters by Windowing實驗6：綜合實驗（語音或生理信號的采集與處理）Comprehensive experiment (acqu

22、isition and processing of voice or physiological signal ) 五、學(xué)時分配Credit hours schedule 章chapter 1 2 3 4 5 6 7 8 9 學(xué)時Credit hours 2 6 6 8 10 8 10 4 4六、實驗學(xué)時分配Experiment credit hours schedule 每個實驗均為2學(xué)時Every experiment needs 2 credit hours.七推薦教材及主要參考書 Textbook and reference book教材textbook：Discrete-time Signal Processing(Second Edition)Alan.V.Oppenheim, Prentice-Hall Signal Processing Series, 清華大學(xué)出版社影印,2005. 參考文獻(xiàn)reference book：1 D.C.Reddy. Biomedical Signal Processing: