-2 2. An IIR filter has transfer function H(z)- 1+0.9025z2 a) Find the difference equation of the filter. What is the filter's order? Why? b) 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. magnitude of the frequency response, Hexplaning your answer. Now use the MATLAB command freqz to plot | H (A) and compare with your sketch. c) Find the poles and zeros of the transfer function and use them to sketch the d) Make a block diagram of the filter using z1,multiply and sum elements. -2 2. An IIR filter has transfer function H(z)- 1+0.9025z2 a) Find the difference equation of the filter. What is the filter's order? Why? b) 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. magnitude of the frequency response, Hexplaning your answer. Now use the MATLAB command freqz to plot | H (A) and compare with your sketch. c) Find the poles and zeros of the transfer function and use them to sketch the d) Make a block diagram of the filter using z1,multiply and sum elements