离散时间信号处理（英文版）01-03.pptVIP

Schoolteaching: 64 Class Hours 1.what is digital signal 2.what is digital signal processing Discrete-Time signal processing and digital signal processing Contents covered a. Sampling theorem and multirate signal processing (Ch4) b. Analysis of LTI D-T systems (Ch5) c. Structure for D-T systems (Ch6) d. DFT (Ch8) e. FFT (Ch9) f. FIR and IIR Filter design (Ch7)  5. Sinusoidal sequence （正弦序列） x[ n ] = A cos( ω n + Φ ) ω : frequency, unit: radians/sample 2.3 Linear Time-Invariant Systems y[n] = x[n] * h[n] Example: 2.4 Properties of Linear Time-Invariant Systems Finite-duration impulse response(FIR) systems Infinite-duration impulse response(IIR) systems 4.因果系统，对LSI 系统： h(n)=0, n0. 时域 ROC 包括∞ Z域 5.稳定系统:有界输入产生有界输出。BIBO DTFT theorem --------- table 2.2 1. linearity: 2. Time shift and frequency shift 3. Differentation in frequency 4. parserval’s theroem 5. convolution theorem 6. modulation or windowing theorem Example 2.29 2.5 Linear Constant-Coefficient Difference Equations 2.6 Frequency-Domain Representation of Discrete-Time Signal and Systems 2.6.1 Frequency Response Ideal Frequency-Selective Filters: lowpass, highpass, bandstop, bandpass. 2.6.2 The condition for Frequency Response existence (system stability): CH3. The Z-Transform 3.1 Z-Transform and System function Sigals: Systems: 3.2 Properties of the Region of Convergence 1. Definition of ROC: The condition that X(z) can be expressed in a closed form. 2. Properties of ROC ROC is a ring or a disk; Fourier transforms convergence condition:ROC of X (z) includes the unit circle( z = 1 ). The ROC cannot contain any poles. 3. ROCs of different sequence The ROC of a finite-duration sequence: if the none-zero interval is N1 ≤ n ≤ N 2 , a. N1 0 , ROC: 0 z ≤ ∞ b. N 2 0 ,ROC: 0 ≤ z ∞ c. N 2 0 and N1 0 ,ROC: 0 z ∞