### Electronics Engineering (Semester 7)

Total marks: 80

Total time: 3 Hours
INSTRUCTIONS

(1) Question 1 is compulsory.

(2) Attempt any **three** from the remaining questions.

(3) Draw neat diagrams wherever necessary.

**Q.1] Answer any four questions**

**1.a. ** Differentiate between Butterworth and chebyshev filter

(5 marks)
00
**1.b.**
Explain the concept of pipelining in DSP processor

(5 marks)
00
**1.c.**Explain frequency warping effect in designing IIR filter using BLT
method.

(5 marks)
00
**1.d.** Explain Quantization effect in computation of DFT

(5 marks)
00
**1.e.** State the relationship between DFS, DFT and Z Transform

(5 marks)
00
**2.a.**Compute IDFT of the following sequence using inverse FFT algorithm.

$
x(k)=\{3,0,3,0,3,0,3,0\}
$

(10 marks)
00
**2.b.**
Prove the Parseval's theorem for the sequence $x(n)=\{2,4,2,4\}$

(5 marks)
00
**2.c.**
Find the circular convolution of the sequences
$x(n)=\{1,2,1,2\}$ and $h(n)=\{4,0,4,0\}$

(5 marks)
00
**3.a.** Design an analog Butterworth filter that has $-2 \mathrm{dB}$ passband attenuation
at frequency of 20 rad/sec and atleast $-10 \mathrm{dB}$ stopband attenuation at
$30 \mathrm{rad} / \mathrm{sec} .$

(10 marks)
00
**3.b.**
Convert the following filters with system functions

(i) $H(s)=\frac{1}{(s+2)(s+0.6)}$

(ii) $H(s)=\frac{(s+0.1)}{(s+0.1)^{2}+9}$

into a digital filter by means of impulse invariant and BLT method.

(10 marks)
00
**4.a.**Explain the concept of linear phase in FIR filter.
prove the following statement 'a filter is said to have linear phase
response if its phase response is $\theta(w)=-\alpha w$

(10 marks)
00
**4.b.** Design a low pass FIR filter with 7 coefficients for the following
specifications passband frequency $=0.25 \mathrm{khz}$ and sampling frequency
$=1 \mathrm{khz} .$ Use hamming window in designing.

(10 marks)
00
**5.a.** Draw neat architecture of TMS 320C67xx DSP processor and explain
each block.

(10 marks)
00
**5.b.**Explain addressing modes of DSP processor with example.

(10 marks)
00
**Q6] Write short notes on (any three)**

**6.b.** Application of DSP processor to Radar signal processing

(7 marks)
00
**6.c.**Limit cycle oscillations

(6 marks)
00
**6.d.**
Product quantization error and input error

(6 marks)
00