EC2204 SIGNALS AND SYSTEMS - HOW TO PASS IN SIGNALS AND SYSTEM - STUDYING METHOD-NOTES- IMPORTANT QUESTION - TEXT BOOKS | Anna University Results 2014 Anna University April May 2014 Results

In this post am going to tell how to prepare for SIGNALS AND SYSTEM (EC2204) .

ABOUT THE PAPER :

Signals And System-basic representation of Signals

Signals and system is the one of the hard paper for the students but in real it is very easy paper to score more mark.Here i will tell you how to get more mark in this paper .
In this paper there are 5 units . But If you study only 3 units, you can cover all 5 units.

Study 1,2,3 unit only
Here i explain it ,

UNIT I CLASSIFICATION OF SIGNALS AND SYSTEMS

Syllabus:

Continuous time signals (CT signals), discrete time signals (DT signals) - Step, Ramp, Pulse, Impulse, Exponential, Classification of CT and DT signals - periodic and aperiodic, random signals, CT systems and DT systems, Basic properties of systems - Linear Time Invariant Systems and properties

On this Unit you study only

In this topic they ask 8 or 16 mark they are mostly problems

1.Clasification of Signals (CT & DT)

.In some time they ask theory on classification

Classification of CT and DT signals

periodic and periodic
Even and Odd
Power and Energy
Invertible and Non-invertible
Deterministic and Random

2.Basic properties of Systems
Basic properties of Systems

Causal and Non-causal
Stable and Unstable
Static and Dynaicm.
Linear and Non-Linear
Time Variant and Time Invariant

3.Basic operations on signals

Like addition, multiplication, shifting, Holding, etc..

UNIT II ANALYSIS OF CONTINUOUS TIME SIGNALS

Syllabus:

Fourier series analysis, Spectrum of C.T. signals, Fourier Transform and Laplace Transform in Signal Analysis.

Methods of study

In this unit there are three main topics

1. Fourier series analysis

2. Fourier Transform and

3. Laplace Transform in Signal Analysis.

You choose 2 & 3 . Because Fourier transform and Laplace transforms are will also used in other units

***And Most important thing is you will study properties for all 3

Because the is very important and very easy to study .If you can understand all properties of any one , You can understand other 2

So over all study method is ,

1. Fourier series analysis

-Properties of Fourier Series Analysis

2. Fourier Transform and

-Properties of Fourier Transform

-Problems of Fourier Transform

3. Laplace Transform in Signal Analysis.

-Properties of Laplace Transform

-Problems of Laplace Transform(ROC,ILT are most important)

UNIT III LINEAR TIME INVARIANT –CONTINUOUS TIME SYSTEMS

Syllabus:

Differential equation, Block diagram representation, Impulse response, Convolution integral, frequency response , Fourier and Laplace transforms in analysis, State variable equations and matrix representation of systems

Methods of study

See this unit is most important one because it is very easy to study

Please study this unit carefully and more concentrate in block diagram representation’s and convolution integral

You can study this unit fully because most of problem in this unit based of Fourier & Laplace transforms as you study in previous units .

See

“Impulse response, Convolution integral, frequency response , Fourier and Laplace transforms in analysis”

These are most related and important topic .

So finally ,

PLEASE STUDY THIS UNIT WITH OUT ANY CHOICE .IF YOU WANT STUDY LINEARLY THE TOPIC

“State variable equations and matrix representation of systems”

BUT DON’T OBMIT ANY THING IN THIS UNIT.

UNIT IV ANALYSIS OF DISCRETE TIME SIGNALS

Syllabus:

Sampling of CT signals and aliasing, DTFT and properties, Z-transform and properties of Z-transform.

Methods of study

See this unit is a repeated unit of 2^nd unit . only difference is 2^nd unit is about CT signal but 4^th unit is about DT signal

Ø DTFT is most nothing but Fourier transform with change in notations .

Ø Z Transform is easy and similar to Laplace transform . And you already study this in PDE

Ø You must study “sampling “ on this unit

UNIT V LINEAR TIME INVARIANT - DISCRETE TIME SYSTEMS

Syllabus:

Difference equations, Block diagram representation, Impulse response, Convolution sum, LTI systems analysis using DTFT and Z-transforms , State variable equations and matrix representation of systems.

Methods of study

See this unit topics its all similar that you studied in unit 3. In this unit you do the same with Dtft and z transforms

Books Recommended   By Anna university

TEXT BOOKS:

1. Allan V.Oppenheim, S.Wilsky and S.H.Nawab, “Signals and Systems”, Pearson Education, 2007.

2. Edward W Kamen & Bonnie’s Heck, “Fundamentals of Signals and Systems”, Pearson Education, 2007.

REFERENCES:

3. H P Hsu, Rakesh Ranjan“ Signals and Systems”, Schaum’s Outlines, Tata McGraw Hill, Indian Reprint, 2007

4. S.Salivahanan, A. Vallavaraj, C. Gnanapriya, “Digital Signal Processing”, Tata McGraw Hill International/TMH, 2007.

5. Simon Haykins and Barry Van Veen, “Signals and Systems”, John Wiley & sons, Inc, 2004.

6. Robert A. Gabel and Richard A.Roberts, “Signals & Linear Systems”, John Wiley, III edition, 1987.

7. Rodger E. Ziemer, William H. Tranter, D. Ronald Fannin. “Signals & systems”, Fourth Edition, Pearson Education, 2002.

8. P.Ramesh Babu, R.Ananda Natarajan “Signals and Systems”,Scitech publications Pvt. Ltd.,III edition,2009.

We recommended the simple book

“Signals and Systems” By P.Ramesh Babu and R.Ananda Natarajan

- Scitech publications Pvt. Ltd.,III edition,2009.

This book is very simple and easy to understand

Please conform this ideas with your teachers before you follow .Because we are not experts more then your teachers .

2 mark with answer pdf (click here)

EC2204 SIGNALS AND SYSTEMS QUESTION BANK

UNIT 1

PART A

1. Define Signal.

2. Define system.

3. What are the major classifications of the signal?

4. Define discrete time signals and classify them.

5. Define continuous time signals and classify them.

6. Define discrete time unit step &unit impulse.

7. Define continuous time unit step and unit impulse.

8. Define unit ramp signal.

9. Define periodic signal and non-periodic signal.

10. Define even and odd signal ?

11. Define Energy and power signal.

12. Define unit pulse function.

13. Define continuous time complex exponential signal.

14. What is continuous time real exponential signal.

15. What is continuous time growing exponential signal?

16. State the BIBO criterion for stability.

17. Find whether the signal given by x (n) = 5cos (6 _n) is periodic

18. Write down the exponential form of the Fourier series representation of a

Periodic signal?

19. Write down the trigonometric form of the fourier series representation of a

periodic signal?

20. Write short notes on dirichlets conditions for fourier series.

21. State Time Shifting property in relation to fourier series.

22. State parseval’s theorem for continuous time periodic signals.

PART – B

1. (a) For the systems represented by the following functions. Determine whether

every system is (1) stable (2) Causal (3) linear (4) Shift invariant (4)

(i) T[x(n)]= ex(n)

(ii) T[x(n)]=ax(n)+6

2. Determine whether the following systems are static or Dynamic, Linear or Nonlinear,Shift variant or Invarient, Causal or Non-causal, Stable or unstable. (4)

(i) y(t) = x(t+10) + x2(t)

(ii) dy(t)/dt + 10 y(t) = x(t)

3. Explain about the properties of continuous time fourier series. (8)

4. Find the fourier coefficients of the given signal. (4)

x(t) = 1+ sin 2_ot + 2 cos 2_ot + cos (3_ot + _/3)

5. Determine the Fourier series coefficient of exponential representation of x(t)

x(t) = 1, ItI (8)

0, T1< ItI < T/ 2

6. Find the exponential series of the following signal. (8)

7. Find which of the following signal are energy or power signals. (8)

a) x(t)=e-3t u(t) b) x(t) = ej(2t+_/4) c) x(n)= cos(_/4n)

8. Explain the properties of Discrete time fourier serier (8)

9. Find the cosine fourier series of an half wave rectified sine function. (8)

10. Explain the classification of signals with examples. (8)

UNIT II

ANALYSIS OF CT SIGNALS

PART A

1. What is the condition for a system to be causal?

2. State the distributive property of convolution.

3. State the commutative property of convolution.

4. State the associative property of convolution.

5. What is Region of convergence (ROC)?

6. State Dirichlets conditions.

7. State Parseval’s power theorem.

8. Define Fourier Transform.

9. Define transform function.

10. Define Laplace transform.

11. State the convolution property of Fourier transform.

12.What is the relationship between Fourier transform and Laplace transform.

13.State the conditions for the existence of Fourier series.

14.Find the Fourier transform of function x(t)=d(t) PART – B

1. State and prove properties of Fourier transform. (16)

2. a. State the properties of Fourier Series. (8)
b. Use the Fourier series analysis equation to calculate the coefficients ak for the

continuous-time periodic signal (8)

1.5, 0 ≤ t 1;

x (t ) 

−

1.5, 1 ≤ t  2

with fundamental frequency ω0= It.

3. a. State and prove Parseval’s power theorem and Rayleigh’s energy theorem. (8)

b. Find the cosine Fourier series of an half wave rectified sine function. (8)

4. A system is described by the differential equation,

d2y(t)/dt2+3dy(t)/dt+2y(t)= dx(t)/dt if y(0) =2;dy(0)/dt = 1 and x(t)=e-t u(t)

Determine the response of the system to a unit step input applied at t=0. (16)

5. Find the Fourier transform of triangular pulse x (t) = _(t/m) ={1-2|t|/m |t|<m

0 otherwise (16)

6. Determine the Fourier series coefficient of exponential representation of x(t) x(t) = 1, ItI <T1

0, T1< ItI < T/ 2 (16)
UNIT III

LTI- CT SYSTEMS
PART – A

1. Define transform function.

2. Define (i)Neural response(ii)Forced response.

3. Define poles and zeros of a transfer function.

4. Define (i)steady state response(ii)Transient response.

5. What are the transfer functions of the following?

6. What is the condition for stability of a system?

7. What are the different types of realizations?

8. Why differentiators are not used in realizing practicals system?

9. Define state of a system.

10. Define block diagram

11. Define LTI-CT systems.

12. What are the tools used for analysis of LTI-CT systems?

13. Define convolution integral.

14. List the properties of convolution integral. PART- B

1. a. Give the properties of convolution Integral (8)

b. Determine the state Equations and Matrix representation of systems (8)

2. a. Describe the properties of impulse response (8)

b. Determine y(t) by convolution integral if x(t)=e at u(t) and h(t)=u(t) (8)

3. a. Find whether the system is causal or not?

h(t)=e-2t u(t-1) (8)
b. Give the summary of elementary blocks used to represent continuous time

Systems (8)

4. Find the natural and forced response of an LTI system given by (16)
10dy (t)/dt+2y(t)=x(t)

UNIT IV

ANALYSIS OF DISCRETE TIME SIGNALS

PART-A

1. What is meant by Region of convergence?

2. What is ROC of a finite duration causal sequence?

3. What is ROC of a finite duration anticausal sequence?

4. What is ROC of an infinite duration causal sequence?

5. What is ROC of an infinite duration anticausal sequence?

6. What are the properties of Region of convergence?

7. What are the different methods of evaluating inverse z-transform?

8. State Time Shifting property in relation to fourier series.

9. State parseval’s theorem for continuous time periodic signals.

10. Write short notes on dirichlets conditions for fourier series.

11. Define circularly even sequence.

12. Define circularly odd sequence.

13. Define circularly folded sequences.

PART – B

1. State and prove properties of DTFT. (16)

2. a. Find the DTFT of x(n)={1,1,1,1,1,1,0,0}. (8)

b. Find the convolution of x1(n)={1,2,0,1} , x2(n)={2,2,1,1} (8)

3. a. State and prove the sampling theorem. (8)

b Derive the Lowpass sampling theorem. (8)

4. Find the z-transform of x(n)= an u(n) and for unit impulse signal (16)

5. a. Give the relationship between z-transform and Fourier transform. (8)

b. Determine the inverse z transform of the following function (8)

x(z)=1/(1+z-1) (1-z-1 )2 ROC : |Z>1|

UNIT-5

LINEAR TIME INVARIANT DISCRETE TIME SYSTEMS

PART-A

1. What are the properties of Fourier spectrum of a discrete-time aperiodic sequence?

2. Find the Fourier transform of the following.

3. Define frequency response of a discrete time system.

4. What is meant by radix-2 FFT?

5. What is a decimation in time algorithm?

6. What is a decimation in frequency algorithm?

7. What are the applications of FFT algorithms?

8. Distinguish between Fourier series and Fourier transform.

9. Write down the exponential form of the fourier series representation of a periodic signal?

10. Write down the trigonometric form of the fourier series representation of a periodic signal?

11. Define FIR system

12. Define IIR system

PART-B

1. a. State and prove the properties of convolution sum. (8)

b. Determine the convolution of x(n)={1,1,2} h(n)=u(n)-u(n-6) graphically (8)

2. Determine the parallel form realization of the discrete time system

y(n) -1/4y(n-1) -1/8 y(n-2) = x(n) +3x(n-1)+2x(n-2) (16)

3. a. Determine the transposed structure for the system given by difference equation

y(n)=(1/2)y(n-1)-(1/4)y(n-2)+x(n)+x(n-1) (8)

b. Realize H(s)=s(s+2)/(s+1)(s+3)(s+4) in cascade form (8)

4. a. Determine the recursive and nonrecursive system (8)

b. Determine the parallel form realization of the discrete time system is

y (n) -1/4y(n-1) -1/8 y (n-2) = x(n) +3x(n-1)+2x(n-2) (8)

SEE HERE FOR 2 MARK WITH ANSWER CLICK HERE