ASSIGNMENT No. 1

Signals and Systems

 

1.Discuss independent  and dependent variables of a signal.

2.Define fundamental period in a periodic signal.

3.What is unit step funcion. How can it be obttaioned from unit ramp signal.

4.Whati s BIBO stability?

5.Check the following discrete-time system for linearity:-

              Y(n)= 2x(n) + 3

6.Find whether the system described by its impulse response h(t)=1/RCe^-t/RC u(t) is BIBO stable or not.

7.Determine the system output y(t) when the input is x(t) = Ae^2tu(t).

8.Draw the block diagram representation for causal continuous time LTI system given by:

          Y(t)= -(1/2) dy(t)/dt + 4 x(t)

 

 

 

ASSIGNMENT No. 2

Signals and Systems

 

 

1.Discuss convolution property of CTFT. Also give physical significance of convolutin propery of CTFT.

2.Find the amplitude and phase spectrum of the time shifted impulse function x(t)= 10 §(t-2).

3.Find the output response of a low pass RC network due to an input x(t)=t e^-t/RC by convolution.

4.Find  the CTFT of an exponential pulse x(t)= e^-at.

5.Discuss the duality in DTFS analysis and synthesis system.

6.Discuss the convolution property of DTFT.

7.Give the expression of Parseval’s relation of DTFT.

8. State and explain differentiating and accumulation properties of DTFT.

 

 

 

ASSIGNMENT No. 3

Signals and Systems

 

1.How signals are characterized in time and frequency domain.

2.Define linear and non linear phases of LTI systems.

3. Define and discuss group delay.

4.Discuss the time domain and freequecy domain of non ideal frequency selective filters.

5.Discuss first order and second order discrete LTI systems.

6.Verif ythat the following frequency response have non linear phase by computing the group delay at selected frequencies.

                             H(jw)= 1/(jw+1)

7.Sketch the log magnitude and phase of the following frequency responses:-

          a) H(e^jw)= 1+1/2 e^-jw

          b) H(e^jw) = 1+ 2 e^-jw

 

 

ASSIGNMENT No. 4

Signals and Systems

 

1.Define the sampling process.

2.Discuss sampling of continuous time signals.

3.State and explain the sampling theorem for discrete time signals.

4. Define Nyquist rate.

5.Define the following terms:-

            a) Under sampling                b) Critical Sampling

            c) Over sampling.

6.What is aliasing phenomena? How can aliasing phenomena be eliminated?

7. Determine linear interpolation between sampling points.