2.1 Discrete-time signals:sequences 2.1.1 Definition 2.1.2 Classification of sequence 2.1.3 Basic sequences 2.1.4 Period of sequence 2.1.5 Symmetry of sequence 2.1.6 Energy of sequence 2.1.7 The basic operations of sequences 2.2 Discrete-time system 2.2.1 Definition：input-output description of systems 2.2.2 Classification of discrete-time system 2.2.3 Linear time-invariant system（LTI） 2.2.4 Linear constant-coefficient difference equation 2.2.5. Direct implementation of discrete-time system 2.3 Frequency-domain representation of discrete-time signal and system 2.3.1 definition of fourier transform 2.3.2 frequency response of system 2.3.3 properties of fourier transform
§5.1 Digital Processing of Continuous-Time Signals §5.2 Sampling of Continuous-time Signals §5.3 Effect of Sampling in the Frequency Domain §5.4 Recovery of the Analog Signal §5.5 Implication of the Sampling Process §5.6 Sampling of Bandpass Signals §5.7 Analog Lowpass Filter Specifications §5.8 Analog Lowpass Filter Design
§4.1 LTI Discrete-Time Systems in the Transform Domain §4.2 The Frequency Response §4.3 Frequency Response Computation Using MATLAB §4.4 The Concept of Filtering §4.5 Phase and Group Delays §4.6 Frequency Response of the LTI Discrete-Time System §4.7 The Transfer Function §4.8 The Transfer Function §4.9 Frequency Response from Transfer Function §4.10 Types of Transfer Functions §4.11 Linear-Phase FIR Transfer Functions §4.12 Allpass Transfer Function §4.13 Minimum-Phase and Maximum-Phase Transfer Functions
§1.1 Introduction §1.2 Continue-time Signal §1.3 signal representation based on δ(t) §1.4 Linear time-invariant system §1.5 System unit impulse response §1.6 Fourier series of periodic signals §1.7 Fourier analyses of non-periodic signals—Fourier Transform §1.8 Fourier Transform of typical signals §1.9 Fourier Transform of typical signals §1.10 Properties of Fourier Transform §1.11 Fourier analyses of linear system
3.1 Discrete-Time Fourier Transform Definition- The discrete-time Fourier transform (DTFT) X(eio) of a sequence x[n] is given by jae In general,() is a complex function of the real variable and can be written as X(eio) Xre(eio) +j Xim(eio)
