List of top Signals and Systems Questions

In a catheter-sensor system to measure blood pressure (P) as shown in the below figure, the liquid resistance (R_L) of the catheter is due to friction between shearing molecules flowing through the catheter. Which of the following is TRUE for R_L if only the radius of the catheter is doubled. Assume that the pressure difference across the catheter segment is fixed.

Match List I with List II

List I (Message Signal)		List II (Related Units/Parameters)
A	$4sin2\pi×5×10^3t-3 cos 2\pi ×8×10^3t  $	I	40 kHz
B	$m(t)=2cos^2 2\pi×10^4t $	II	16 kHz
C	$ m(t)=2sinc(2× 10^4 t) $	III	6 kHz
D	$m(t)=5sinc^2(3x10^3t) $	IV	20 kHz

Choose the correct answer from the options given below:

Match List I with List II

List I (Signal)		List II (Fourier Transform)
A	$ x(t-t_0)$	I	$ \frac{dx(\omega)}{{d\omega}}$
B	$ e^{j \omega_0 t} x(t) $	II	$ e^{j \omega t_0} X(\omega) $
C	$ \frac{dx(t)}{{dt}}$	III	$ x(\omega-\omega_0)$
D	$(-jt)x(t) $	IV	$j\omega X(\omega) $

Choose the correct answer from the options given below:

The aliasing effect can be minimized by
A. selecting sampling frequency $w_s > 2w_m $
B. selecting sampling frequency $ w_s <2w_m $
C. selecting sampling frequency $w_s <w_m $ 
D. using anti-aliasing filter 
Choose the correct answer from the options given below.

Given below are two statements:
Statement-I Fourier series of any periodic signal x(t) can only be obtained if x(t) is absolutely integrable over any period.
Statement-II : Fourier series of any periodic signal x(t) can only be obtained if x(t) has a finite number of discontinuities within finite time interval of t. 
In the light of the above statements, choose the correct answer from the options given below.

Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): A system is called causal if its output y(t) at an arbitrary time $t = t_0$ depends on only the input $ x(t)$ for $t≤t_0$.
Reason (R) : In a causal system, it is not possible to obtain an output before an input is applied to the system. In the light of the above statements,
In the light of the above statements, choose the correct answer from the options given below.

The overall transfer function for the block diagram shown in figure is

The transfer function of two compensators is given as \(C_1= \frac{s+30}{ 30(s+1)}\) and\( C_2= \frac{30(1+s)}{ (30+s) }\) The correct statement is

$H(s) = \frac1{ s^3+ As^2+Bs +5 } $ is the transfer function of a system. The system is stable for constraints

C(s) The noise transfer function $\frac{C(s)}{ N(S)}| _{R(S)=0} $of the given system is

The sinusoidal T.F. Corresponding to the polar plot for T>0.