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**Unformatted text preview: **(i) Determine the integer order of N while using two methods. (ii) Give the transfer functions H ( z ) for these two methods. (iii) Plot their frequency responses ) ( ω j e H during π ≤ ω ≤ for these two methods. 4. If H lp ( Z ) is a given lowpass filter is transferred by Z − 1 = 1 1 25 . 1 − − − + − z z α and Z − 1 = 1 1 1 2 − − + + z z β . (a) Determine α and β such that the Z-plane to z-plane transform satisfies the transformation constraints. (b) What are the frequency responses (lowpass, bandpass or highpass) of the new transformed filters? (c) Plot the frequency transferring curves and explain their behaviors. 5. (a) Please describe the design procedures of FIR filters by using the windowing technique. (b) What are selection criteria for choosing the window function, which is the most important? Why?...

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