Assignment III (1)

DSP Assignment-III (Module-III)

5th semester BTech (CSE and CSIT) July14-Dec14

1)

2)

Develop the DIT-FFT signal flow graph by deriving the necessary mathematical expression .

3)

Develop the DIF-FFT signal flow graph by deriving the necessary mathematical expression.

4)

5)

6)

A low pass filter is to be designed with the following desired frequency response

=

4,04

,)(

2

otherwise

eeH

jjw

d

(a) Determine the filter coefficients if the window function is defined as

=otherwise

nnw

,0

40,1)(

Also determine the frequency response of the designed filter.

(b) Determine )(H if Hanning window of N=7 is used for the design.

7)

Enumerate the limitations of rectangular window method of design of FIR filter.

8)

Develop the design method of IIR filter by (a) Bilinear Transformation

(b) Impulse invariance.

9)

What is frequency wraping?

10)

The system function of an analog filter is given as 9)1.0(

1.0)(

2 ++

+=s

ssH a .

(a)Design an IIR digital filter using impulse invariance method.

(b) Design an IIR digital filter using bilinear transformation method

Clearly show the steps you have followed in the design process.

11) The system function of an analog filter is given as )85.0)(3(

9.28.48.2)(

2

2

+++

++=

sss

sssH a

Design an IIR filter using impulse invariance taking sampling time as 0.5 second.

12)

Design an IIR filter by bilinear transformation if (a) T=1 second and (b)T=0.1 second.

)23(

2)(

2 ++=

sssH a

. 13)

Design an IIR filter by bilinear transformation if T=1 second and

)12.0(

2)(

2 ++=

ss

ssH a

14)

Show that ideal filter is noncausal so is not physically realizable.

15)

The desired frequency response of a FIR low pass filter is