2. An IIR filter has transfer function H(z) =: a) b) 1-z-2 1+0.9025z2 Find the difference...

  

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2. An IIR filter has transfer function H(z) =: a) b) 1-z-2 1+0.9025z2 Find the difference equation of the filter. What is the filter's order? Why? Use long division to find the first six samples of the filter's impulse response (up to the power z10). Verify your result using the MATLAB command impz. c) Find the poles and zeros of the transfer function and use them to sketch the magnitude of the frequency response, H(e), explaining your answer. Now use the MATLAB command freqz to plot He (e) and compare with your sketch. d) Make a block diagram of the filter using z, multiply and sum elements. 2. An IIR filter has transfer function H(z) =: a) b) 1-z-2 1+0.9025z2 Find the difference equation of the filter. What is the filter's order? Why? Use long division to find the first six samples of the filter's impulse response (up to the power z10). Verify your result using the MATLAB command impz. c) Find the poles and zeros of the transfer function and use them to sketch the magnitude of the frequency response, H(e), explaining your answer. Now use the MATLAB command freqz to plot He (e) and compare with your sketch. d) Make a block diagram of the filter using z, multiply and sum elements.