Question 5 a) Analyze the filter characterized by its complex z plane in Figure 4. Imaginary Part 0.5 3 -0.5 0x -0.5 0 0.5 Real Part Figure 4. 1. Write the equation for H(z). Comment on the stability of this filter. 11. Draw the block diagram of this filter using cascade form. 111. iv. Should the system be realized using Direct Form or cascaded form? Explain. Plot the magnitude response. Which type of filter is this (bandpass, band stop, low pass, high pass etc)? b) Design an IIR filter that rejects 0.67 by providing the system function or transfer function and magnitude spectrum. c) Design an IIR filter that approximates an analog filter represented by the following equation by providing H(z), h[n], and the signal flow or block diagram. 0.2484 H(s)=- +0.5403s +0.4984) (s2+1.3045s +0.4984)