10（2） 信号与系统 周建华 光电学院教学课件.pptVIP

1/2 - 1/4 10.8 system function algebra and block diagram representation x[n] v[n] v[n] y[n] 1/2 - 1/4 10.8 system function algebra and block diagram representation x[n] y[n] v[n] Example 10.8 system function algebra and block diagram representation Plot the cascade form block diagram of the following system. Example Solution: first-order system second-order system 10.8 system function algebra and block diagram representation 1 - -1 -1/2 10.8 system function algebra and block diagram representation x[n] y[n] v[n] v[n] 1 - -1 -1/2 10.8 system function algebra and block diagram representation x[n] y[n] v[n] (3) Parallel form of the block diagram(并联型方框图): Hi(z) is first-order or second-order system. For a real pole, Hi(z) is first-order system. For conjugation complex poles, Hi(z) is second-order system. 10.8 system function algebra and block diagram representation 即，把H(z)部分分式展开为一阶或二阶子系统并联（相加）的形式。 Example 10.30 Plot the parallel form block diagram of the following system. 10.8 system function algebra and block diagram representation 10.8 system function algebra and block diagram representation Solution: 1/2 - 1/4 2/3 1/3 10.8 system function algebra and block diagram representation x[n] y[n] 10.8 system function algebra and block diagram representation Example Plot the parallel form block diagram of the following system. 10.8 system function algebra and block diagram representation Solution: 1 - -1 -1/2 2 - 10.8 system function algebra and block diagram representation x[n] y[n] 10.9 the unilateral z-transform Definition: 10.9 The unilateral z-Transform Note: If x[n] is causal, its bilateral z-transform is equal to its unilateral z-transform. 10.9 The unilateral z-Transform 为了区分，前面介绍的z变换，称为双边z变换。 bilateral z-transform： * * 10.7 Analysis and characterization of LTI systems using z-transform System function: 10.7 analysis and characterization of LTI system using z-transform 10.7.1 Causality