Question: Math lab #2 A digital filter is defined by the following difference equation: y[n]s-0.8y[n-2] + x[n] + 0.5x(n-1] a) Write the Z-transfer function H(z) by

Math lab

#2 A digital filter is defined by the following difference equation: y[n]s-0.8y[n-2] + x[n] + 0.5x(n-1] a) Write the Z-transfer function H(z) by hand. b) write the DTFT H() by hand. c) Plot IH()| and !(Q). Use MATLAB. d) Name the type of the filter. (5 poi (5 poir (10 po (5 poi i.ainal I xInl. Plot its magnitud

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