Challenge19_Architecture

Challenge19_Architecture - RESPONSE Elliptic, order = 4...

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Digital Signal Processing Dr. Fred J. Taylor, Professor Lesson Title: Direct II and Cascade Architecture Lesson Number: [19] Challenge Refer to the 4th order elliptic IIR shown below. Implement the IIR as a Direct II and Cascade filter. Compare the two in terms of their complexity and coefficient range. Elliptic, order = 4 Actual Stopband Attenuation: 51.1447 dB Digital Filter Scale Factor = 0.02099872314742810 Numerator Coefficients Denominator Coefficients b 0: 1.000000000000000 a 0: 1.000000000000000 b 1: 1.567841933416378 a 1: -2.346138658587813 b 2: 2.196319333663452 a 2: 2.690894615786962 b 3: 1.567841933416378 a 3: -1.585086766991654 b 4: 1.000000000000000 a 4: 0.4130798064394767 Q: What are the feed forward coefficients of the vector c for the Direct II implementation?
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Unformatted text preview: RESPONSE Elliptic, order = 4 Actual Stopband Attenuation: 51.1447 dB Digital Filter Scale Factor = 0.02099872314742810 Numerator Coefficients Denominator Coefficients b 0: 1.000000000000000 a 0: 1.000000000000000 b 1: 1.567841933416378 a 1: -2.346138658587813 b 2: 2.196319333663452 a 2: 2.690894615786962 b 3: 1.567841933416378 a 3: -1.585086766991654 b 4: 1.000000000000000 a 4: 0.4130798064394767 MATLAB CODE (Direct II MATLAB style) >> n=[ 1 1.5678 2.1963 1.5678 1]; >> d=[1 -2.3461 2.6908 -1.5450 0.4130]; [A,B,C,D]=tf2ss(n,d) A = 2.3461 -2.6908 1.5450 -0.4130 1.0000 0 0 0 1.0000 0 Direct II and Cascade 1 Digital Signal Processing Dr. Fred J. Taylor, Professor 0 0 1.0000 B = 1 C = 3.9139 -0.4945 3.1128 0.5870 D = 1 Direct II and Cascade 2...
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Challenge19_Architecture - RESPONSE Elliptic, order = 4...

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