TUTORIAL 1

SAS

 

Q.1 Find out whether the signal s(t)= A cos (wt+r) is an energy or power signal

2.Input and output relations of continuous time system is given by:-

y(t)=x(t-2)+x(2-t) . Check whether the system is memoryless or with memory.

b)casual or non-casual.

3.Determine the unit step response of a discrete time LTI system when unit sample response is h(n)= Aⁿu(n).

4.Discuss discrete time and continuous time impulse function.

5.Write short notes on the following :-

Exponential functions of signals

Sinusoidal signals.

6.What is signum function?

7.What are singularity function?

 

TUTORIAL 2

SAS

 

 

1.Find the step response of  a discrete system described by the following difference equation

              y(n)=1/6y(n-1)+1/6y(n-2)+x(n).The system is causal as well as stable.

2.Find out whether the following systems are casual or not:-

a)y(t)=x(-t)                           b)y(t)=x(t²)

3.Derive the Parseval’s relation for continuous time Periodic Signals.

4.Diffrentiate between even and odd signals.

5.Determine the trigonometric fourier  series representation of the periodic rectangular waveform varying from –T/4 to T/4.

 

TUTORIAL 3

SAS

 

 

1.Determine the CTFT of a continuous time signal:-

                           x(t)=e^-IAIt, A>0.

2.Determine the CTFT of a rectangular pulse:-

                       x(t)=1, ItI>T1

                               0, ItI<T1

The signal varies from –T1 to T1.

3. Prove the convolution property of  a CTFT signal.

4.Prove the frequency shifting property of a CTFT signal.

5.Write three Derichlet’s conditions for CTFT.

 

 

 

 

TUTORIAL 4

SAS

 

1.Prove the time shifting and frequency shifting for DTFT.

2.State the Parseval’s relation for DTFT.

3.Diffrentiate between discrete time fourier transform and discrete time fourier sequence.

4.Prove the multiplication property of DTFT.

5.Prove the convolution property of DTFT.

6. Determine the DTFT of the following signal:-

a)x(n)=u(n-2)-u(n-6)

b)x(n)=sin (n/2)+cos (n)

 

TUTORIAL 5

SAS

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

2.Discuss the magnitude-phase representation of CTFT and DTFT.

3.Discuss time domain and frequency domain aspects of non ideal frequency selective filters.

4.Sketch the Bode plots for the following frequency response:-

H(jw)= 1+(jw/10)

5.Discuss first order and second order continuous time LTI systems.

 

TUTORIAL 6

SAS

 

1.Distinguish random signals and deterministic signals.

2.Define probablility and relative frequency of occurrence of any event.

3.Discuss random process with examples.

4.Find  the cumulative distribution function (CDF) of the Gaussian pulse variable.

5.Two dices are thrown simultaneously. Find the probability of getting 5.

 

 

TUTORIAL 7

SAS

 

1.Find the z-transform of the following discrete time signals:-

   x(n)=sin(wn)

2. Find the z-transform of  x(n)= n²e^-an.

3.Find the z-transform and ROCs of the following discrete time signals
:-     x(n)= e^-3nu(n-1)

4.Find the z transform of the following discrete time sequences:-

             x(n)=u(n-4)