hmwk7.pdf - ECE 513 DIGITAL SIGNAL PROCESSING Cranos M Williams Assigned HOMEWORK 7 DUE 1 IIR Lattice Filters(25 Pts The system transfer function for an

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ECE 513 - DIGITAL SIGNAL PROCESSING Cranos M. Williams Assigned: October 21, 2019 HOMEWORK 7, DUE OCTOBER 28, 2019 1.IIR Lattice Filters: (25 Pts)The system transfer function for an IIR digital filter isgiven byH(z) =B(z)A(z)(1)whereB(z)=0.0609-0.3157z-1+ 0.8410z-2-1.4378z-3+ 1.7082z-4-1.4378z-5+ 0.8410z-6-0.3157z-7+ 0.0609z-8A(z)=1.0-0.8961z-1+ 2.6272z-2-0.9796z-3+ 2.1282z-4-0.0781z-5+ 0.9172z-6+ 0.0502z-7+ 0.2602z-8(2)(a) Use the MATLAB routinetf2sosto obtain the coefficients for the cascade im-plementation ofH(z) using second order sections(b) Calculate, by hand, the IIR lattice coefficients for the first second order section.Assume that the gain is distributed evenly through each second order section.(c) Use MATLAB to determine the IIR lattice coefficients for each of the remainingsecond order sections. Provide your MATLAB code with your solution. Developblock diagrams for the IIR lattice implementation of all second order sections.(d) Develop appropriate difference equations for the implementation of the overallfilter using the second order IIR lattice sections.2.IIR Lattice Filters: (25 Pts)This problem involves the implementation of a sixth orderIIR filter using second order lattice sections. The lattice parameters for section 1 are  • • • 