WELCOME Digital Signal processing Chapter 1 Introduction 刘忠国Zhongguo Liu Biomedical Engineering School of Control Science and Engineering,Shandong University 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ
2022/10/18 1 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Digital Signal processing Chapter 1 Introduction 刘忠国Zhongguo Liu Biomedical Engineering School of Control Science and Engineering, Shandong University
Contents of the Course ◆1.Introduction 2.Discrete-Time Signals and Systems ◆3.Thez-Transform 4.Sampling of Continuous-Time Signals 5.Transform Analysis of Linear Time- Invariant Systems 6.Structures for Discrete-Time Systems 7.Filter Design Techniques 8.The Discrete Fourier Transform 9.Computation of the Discrete Fourier Transform (FFT Algorithm) 10/18/2022 Zhongquo Liu Biomedical Engineering shandong UnM
44 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Contents of the Course ◆1. Introduction ◆2.Discrete-Time Signals and Systems ◆3.The z-Transform ◆4.Sampling of Continuous-Time Signals ◆5.Transform Analysis of Linear TimeInvariant Systems ◆6.Structures for Discrete-Time Systems ◆7.Filter Design Techniques ◆8.The Discrete Fourier Transform ◆9.Computation of the Discrete Fourier Transform (FFT Algorithm)
Chapter 1 Introduction Signal processing is benefited from a close coupling between theory, application,and technologies for implementing signal processing systems. Signal processing deals with the representation,transformation,and manipulation of signals and the information they contain. 5 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ
5 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Chapter 1 Introduction ◆Signal processing is benefited from a close coupling between theory, application, and technologies for implementing signal processing systems. ◆Signal processing deals with the representation, transformation, and manipulation of signals and the information they contain
Continuous and Digital Signal Processing Prior to 1960:continuous-time analog signal processing. Digital signal processing is caused by: the evolution of digital computers and microprocessors Important theoretical developments such as the Fast Fourier Transform algorithm (FFT) 6 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ
6 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Continuous and Digital Signal Processing ◆Prior to 1960: continuous-time analog signal processing. ◆Digital signal processing is caused by: ◆the evolution of digital computers and microprocessors ◆Important theoretical developments such as the Fast Fourier Transform algorithm (FFT)
Digital and Discrete-time Signal Processing In digital signal processing Signals are represented by sequences of finite-precision numbers Processing is implemented using digital computation Digital signal processing is a special case of discrete-time signal processing 7 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ
7 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Digital and Discrete-time Signal Processing ◆In digital signal processing ◆Signals are represented by sequences of finite-precision numbers ◆Processing is implemented using digital computation ◆Digital signal processing is a special case of discrete-time signal processing
Continuous-time and Discrete-time signal continuous-time Signal:time and signal are continuous Continuous-time signal:sin(0.1Tt) 0.5 0 -0.5 sin(0.lπt) -10 8 6 -4 2 0 2 4 6 10 infinite-precision of signal value and time Discrete-time signal:time is discrete,signal value is continuous Discrete-time signal:sin(0.1Tr n) 1 0.75 0.5 0.25 0 -0.25 -0.5 sin(0.lπn) -0.75 八7 -10 8 6 -2 0 2 4 6 8 10 infinite-precision of signal value,finite-precision of signal value 2022/10/1 8 8
2022/10/1 8 8 Continuous-time and Discrete-time signal sin(0.1 ) t sin(0.1 ) n continuous-time Signal: time and signal are continuous infinite-precision of signal value and time infinite-precision of signal value, finite-precision of signal value Discrete-time signal: time is discrete, signal value is continuous
Discrete-time signal and Digital Signal digital signal:signal values are quantized,in binary representation, time is discrete discrete-time signal:time is discrete,signal value is continuous Discrete-time signal:sin(0.1TT n) 0.75 0.5 infinite-precision signal values 0.25 兰02 0.5 sin(0.lπm) -0.75 7 0 8 8 2 0 6 8 10 n digital signal Digtal signal:0.25*round(4sin(0.1TT n)) 0.75 0.5 finite-precision signal values 0.25 0 -0.25 -0.5 0.25round(4sin(0.1an)) -0.75 -1 -10 -8 -6 -2 0 2 6 8 10 signal values are only one of(-1,-0.75,-0.5,-0.25,0,0.25,0.5, 0.75,1),when signal value is presented by 3-bit binary numbe22/10/1 9 8
2022/10/1 9 8 Discrete-time signal and Digital Signal digital signal: signal values are quantized, in binary representation, time is discrete sin(0.1 ) n 0.25 (4sin(0.1 )) round n infinite-precision signal values finite-precision signal values discrete-time signal: time is discrete, signal value is continuous digital signal signal values are only one of (-1, -0.75, -0.5, -0.25, 0, 0.25, 0.5, 0.75,1), when signal value is presented by 3-bit binary number
Objects of Signal Processing Process one signal to obtain another signal; Signal interpretation:Characterization of the input signal. Example:speech recognition phonemic speech digital preprocessing pattern transcription signal (filtering,parameter recognition estimation,etc) final signal expert interpretation system 10 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ
10 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Objects of Signal Processing ◆Process one signal to obtain another signal; ◆Signal interpretation: Characterization of the input signal. digital preprocessing (filtering,parameter estimation,etc) speech signal pattern recognition expert system phonemic transcription final signal interpretation Example: speech recognition
Objects of Signal Processing Symbolic manipulation of signal processing expression: signal and systems are represented and manipulated as abstract data objects, without explicitly evaluating the data sequence. 11 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ
11 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Objects of Signal Processing ◆Symbolic manipulation of signal processing expression: signal and systems are represented and manipulated as abstract data objects, without explicitly evaluating the data sequence
Chapter 1 Introduction Applications of signal processing: entertainment,communications,space exploration,medicine,archaeology,etc. Role of signal processing is expanding, driven by convergence of computers, communications and signal processing. 12 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ
12 2022/10/18 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Chapter 1 Introduction ◆Applications of signal processing: entertainment, communications, space exploration, medicine, archaeology, etc. ◆Role of signal processing is expanding, driven by convergence of computers, communications and signal processing
