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Chapter 11 Analog and Digital FiltersTo implement this filter, we factor the numerator and denominator polynomials asHz ( )0.5( 1 + 0.6z – 1 ) 1 0.6z – 1 *= ------------------------------------------------------------------( – )(11.106)( 1+0.9z – 1 )( 1–0.8z – 1 )The model is shown in Figure 11.54, and the input and output waveforms are shown in Figure11.55.Figure 11.54. Model for Example 11.25Figure 11.55. Input and output waveforms for the model of Figure 11.54A demo model using fixed−point Simulink blocks can be displayed by typingfxpdemo_series_cascade_form* The combination of the of factors in parentheses is immaterial. For instance, we can group the factors as( 1 0.6z – 1-----------------------------+ ) ( 1 0.6zand – 1----------------------------– ) ( 1 0.6zor as – 1-----------------------------+ ) 1 0.6zand– 1-----------------------------( – )( 1 + 0.9z – 1 ) ( 1–0.8z – 1 ) ( 1 – 0.8z – 1 ) ( 1 + 0.9z – 1 )11−74Signals and Systems with MATLAB ® Computing and Simulink ® Modeling, Fourth EditionCopyright © Orchard Publications