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Engineering Three Problems

Question # 00018250
Subject: Engineering
Due on: 06/24/2014
Posted On: 06/24/2014 07:45 AM

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2. Consider the transfer function:

H(z)=z-L-z-a

a. Sketch the impulse response

b. What type of filter is this (FIRI ,2,3,4)

c. Find the zeros of the transfer function, and accurately sketch the zero diagram d. Sketch the magnitude of tle frequency response lU(ei.11.

3. We want to design an FtR differentiator using the frequency sampling design method. The ideal desired frequency response of the differentiator is:

Hlsio ) = jo "'iot

(N-r)/2

Note that this is just jat with a linear phase corresponding to the delay of a = (N _t)12 samples.

a. What filter type would you use (type 1, 2, 3 or 4)?

b. Sketch the desired amplitude function, Aako),for the filter.

c. Write down the exact complex length -ly' sequence whose inverse DFT you would take to obtain the actual (designed)filter impulse response, ft(n)

4. Consider an FIR filt€r with characteristics shown below.

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Preview: gives xxxxxxx a xxxxxxxxx nor an xxxxxxxxxxxxxx impulse response xxxxxx , xx xxx write xxx transfer function xx Now,We have, xxx order xxxx xxx number xx FIR filter xxxxxxxxxxxx is N=M+1=10, xxxxxxxxxxxx response>> xxxx x 0 x 0 0 x 0 -1]>> xxxxxxxxxxxxxxxxxxxx the xxxxxxx xxxxxxxx it’s.....
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