Register Number
SATHYABAMA UNIVERSITY
(Established under section 3 of UGC Act,1956)
Course & Branch :B.Tech - BME
Title of the Paper :Biosignals and Systems
Sub. Code :624403(2006/2007/2008/2009)
Date :07/11/2013
Max. Marks:80
Time : 3 Hours
Session :AN
_______________________________________________________________________________________________________________________________
1.
PART - A
(10 x 2 = 20)
Answer ALL the Questions
Give the relationship between the signals and systems.
2.
Determine whether the following signal is energy or power signal
and calculate its energy or power X(t) = cos ²ώo(t).
3.
Classify the tools to analyze the continuous time signals and
systems.
4.
Give the relationship between the laplace transform & fourier
transform.
5.
Define step response of the convolution integral.
6.
What is an aliasing?
7.
Give the classification of Z transform.
8.
Define discrete time fourier transform.
9.
Write short notes on frequency sampling structures.
10. Explain the implementation of FIR filter using cascade form
realization.
PART – B
(5 x 12 = 60)
Answer ALL the Questions
11. Explain in detail the classification of continuous time systems
and discrete time systems.
(or)
12. Check whether the following systems are linear or non linear
(a) y(t) = t x(t)
(b) y(t) = x²(t) (c) y(n) = log [|x(n)|]
13. Determine the laplace transform & ROC for the signal x(t) = e^(at) u(-t).
(or)
14. Find out the laplace transform of hyperbolic sine and cosine
functions.
15. The differential equation of the system is given as
d²y(t)/dt² + 3 dy(t)/dt + 2 y(t) = x(t)
with y(0+) = 3 & dy(t)/dt | t=0 = -5.
Determine the output for x(t) =2 u(t)
(or)
16. Find the impulse response of the system for
(a) τo dy(t)/dt + y(t) = x(t)
(b) d²y(t)/dt² + 4 dy(t)/dt +3 y(t) = dx(t)/dt + 2 x(t)
17. Determine the inverse Z transform of the following
(a) X(Z) = 1/ 1-az^(-1), ROC : |z|>|a|
(b) X(Z) = 1/ 1-az^(-1), ROC : |z|<|a|
(or)
18. State and prove the final value theorem for Z transform.
19. The difference equation of the system is given as
Y(n) = ½ x(n) + ½ x(n-1) findout
(a) system function
(b) unit sample response
(c) pole zero plot
(d) Transfer function and its magnitude phase plot
(or)
20. Solve the differential equation
Y(n) – 5/6 y(n-1) – 1/6 y(n-2) = x(n) with x(n) = δ(n) - ⅓ δ(n-1)
Assume zero initial conditions