Chapter 2 Discrete-Time Signals and Systems ◆2.0 Introduction 2. 1 Discrete-Time Signals: Sequences 2.2 Discrete-Time Systems 2.3 Linear Time-Invariant(LTI Systems 2 4 Properties of LTI Systems 2.5 Linear Constant- Coefficient Difference equations 2 1/30/2021 Zhongguo Liu_Biomedical Engineering_ Shandong Univ
2 1/30/2021 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Chapter 2 Discrete-Time Signals and Systems u2.0 Introduction u2.1 Discrete-Time Signals: Sequences u2.2 Discrete-Time Systems u2.3 Linear Time-Invariant (LTI) Systems u2.4 Properties of LTI Systems u2.5 Linear Constant-Coefficient Difference Equations
apter 2 Discrete-Time signals and systems 92.6 Frequency-Domain Representation of Discrete- Time Signals and systems 2.7 Representation of Sequences by Fourier transforms 2. 8 Symmetry Properties of the Fourier Transform 2.9 Fourier Transform Theorems 2.10 Discrete-Time Random signals ◆211 Summary 1/30/2021 Zhongguo Liu_Biomedical Engineering_ Shandong Univ
3 1/30/2021 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Chapter 2 Discrete-Time Signals and Systems u2.6 Frequency-Domain Representation of Discrete-Time Signals and systems u2.7 Representation of Sequences by Fourier Transforms u2.8 Symmetry Properties of the Fourier Transform u2.9 Fourier Transform Theorems u2.10 Discrete-Time Random Signals u2.11 Summary
2.0 Introduction Signal: something conveys information represented mathematically as functions of one or more independent variables classified as Continuous-time analog) signals discrete-time signals, digital signals Signal-processing systems are classified along the same lines as signals Continuous-time(analog) systems, discrete-time systems digital systems 1/30/2021 Zhongguo Liu_Biomedical Engineering_ Shandong Univ
4 1/30/2021 Zhongguo Liu_Biomedical Engineering_Shandong Univ. 2.0 Introduction uSignal: something conveys information, represented mathematically as functions of one or more independent variables. Classified as: uContinuous-time (analog) signals, discrete-time signals, digital signals uSignal-processing systems are classified along the same lines as signals: Continuous-time (analog) systems, discrete-time systems, digital systems
2.1 Discrete-Time Signals: Sequences Discrete-Time signals are represented as x={xn]-∞<n<∞,n: Integer Cumbersome, so just use xIn In sampling of an analog signal x) xn=xo(nr), T: sampling period 1/(reciprocal of T): sampling frequency 1/30/2021 Zhongguo Liu_Biomedical Engineering_ Shandong Univ
5 1/30/2021 Zhongguo Liu_Biomedical Engineering_Shandong Univ. 2.1 Discrete-Time Signals: Sequences uDiscrete-Time signals are represented as uIn sampling of an analog signal xa(t): u1/T (reciprocal of T) : sampling frequency x xn, n , n :integer xn x nT T sampling period a , : Cumbersome, so just use xn
Figure 2. 1 Graphical representation of a discrete-time signal -2J 2 7891011 9-8-7-6-54-3-2-10123456 Abscissa: continuous line x[n: is defil ned on ly at dis iscrete instants 6 1/30/2021 Zhongguo Liu_ Biomedical Engineering_ Shandong Univ
6 1/30/2021 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Figure 2.1 Graphical representation of a discrete-time signal Abscissa: continuous line : is defined only at discrete instants xn