SWAR,NANDHRAollege of Engineering & Technology

(Autonomous)Seetharamapuram, NARSAPU& W.G. Dt.,534 280.

DEPARTMENT OF ELNCTROMCS AND COMMUNICATION ENGINEERING

COURSE OUTCOMES:

After the completion of the Signal & Systems Course students are able to

COl: Describe the signal fundamentals in terms oftypes and how to represent the various

signals. (Kl)

CO2: Understand the concept of Fourier series and Fourier transforms to determine the

signal and system characteristics.(K2)

CO3: Application of sampling theorem, convolution, correlation and also signal

transmission through linear systems (K3)

CO4: Know the concept of ROC (Region Of Convergence) using taplace and Z- Transforms

to analyze the continuous and discrete time systems (K4)

v

UnitNo.

Out Comes Topics/Activity Bookreference

Con.HI

DeliveryMethod

ICOl: Understand the

signal fundamentals interms of types and howto represent the various

signals.(K2)

1. SIGNAL ANALYSIS & T'OURIER SERIES

Chalk &Talk,PPT

& Tutorial

1.1 Simal Classification TI

2L

1.2 S ienal transformations T1

1.3 Analogy between vectors and sienals T1

1.4

Orthogonal signal space and signalapproximation using orthogonal.functions T1

1.5 Mean square error T1

1.6

Closed or complete set of orthogonalfunctions, orthogonality in complexfunctions T1

1.7

Exponential and sinusoidal signals,concepts of impulse function, unit stepfunction and signum function T1

1.8Continuous time periodic signals,Representation of Fourier series TI

1.9

Properties of Fourier series,Dirichlet's conditions T1

1.10Trigonometric Fourier seriesExponential Fourier series T1

1.11 Complex Fourier spectrum T1

CO2z Understand the

2. FOT'RIER TRANSFORMS & SAMPLING

Chalk &Talk,PPT

& Tutoriai2

2.1

Deriving Fourier transforms fromFourier series, Fourier transform ofasisnal

T1

16

2.2 Fourier transforms of standard signals

2.3 Fourier transforms of periodic signals T1concept of Fourier series

and Fourier transforms

to determine the signal

and system

characteristics. (K2)

2.4 Properties of Fourier transforms T1

2.5Fourier transforms involving impulseand sig:rum function

TI

2.6 Introduction to Hilbert transform T1

2.7Sampling theorem - graphical andanalytical proof for band limited signals

T1

2.8 Natural and flat top sampling TI,)o Reconstruction of signal from its

samplesT1,T2

2.10Effect of under sampling-Aliasing,Introduction to Band Pass sampling

T1

J

CO3: Demonstrate

concepts of sampling

theorem, various types

of systems and theirproperties for signal

transmission and

convolutiorr and

correlation (K3)

3. SI(}NAL TRANSMISSION THROUGH LINEAR SYS]TEMS

3.1

Linear system, impulse response,response of a linear system, linear timeinvariant system (LTI) and linear timevariant &TV) system T1

3.2 Transfer function of a LTI system T1

3.3 Filter characteristics of linear systems T1

3.4

Distortion less transmission through asystem, signal bandwidth and systembandwidth T1

9 Uhalk &Talk,PPT

& Tutorial

3.5 Ideal LPF, FIPF and BPF characteristics T1

3.6Causality and Poly-Wiener criterion fornhvsical realization TI

3.7Relationship between bandwidth andrise time T1

CYCLE - I

4

CO3: Demonstrate

concepts of sampling

theorem, various types

of systems and their

properties for signal

transmission and

convolution and

corrolation (K3)

4. CONVOLUTION AND CORRBLATION OF SIGNALS

Chalk &Talk,PPT

& Tutorial

4.1 Concept of convolution in time domainand frequency domain, Graphicalrepresentation of convolution

T1

9

4.2 convolution property of Fouriertransforms

TI

4.3 Cross con'elation and auto correlation offunctions

TI

4.4 Properties of correlation function T1

4.5 Energy density spectrum T1

4.6 Parseval's theorem and powor densitysDeotrum

T1

4.7 Relation between autocorrelationfunction and energylpower spectraldensiry function

T1

4.8 Relation between convolution and

correlationT1

4.9 Detection of signals in the presence ofnoise by correlation, extraction of signalfrom noise by filtering, Problerns

T1

I

CO4: Know the conceptof ROC (Region OfConvergenee) usingLaplace and Z-Transforms to analyzethe system stabiliry (K4)

5. LAPLACE TRANSTORMS

Chalk &Talk,PPT,

ActiveLeaming

&Seminars

5.1 Review of Laplace transforms, Regionof convergeqce for Laplace transforms,

T1,T2

10

5.2 Partial fraction expansion, ionstraiilEon yariqus classes ofsignals

TI,T2

5 5,3 Laplace transform of some standardsignals, Properties of Laplacetransforms, relation between L.T and!J ofa signal

TI,T2

5.4 Inverse Laplace ransform Tl,T2

6 CO4: Know the conceptof ROC (Region OfConvergence) usingLaplace and Z-Transforms to analyzethe system stability (K4)

6. ?-TR{II{SFORMS

Chalk &Talk,PPT,

ActiveLeaming

&.

Seminars

6.1 Fundarnental difference betweencontinuous and discrete time signals,discrete time signal representation usingcomplex exponential and sinusoidalcomponents

T2

12

6.2 Concept of Z transform of a discretesequence

v6.3 Z transform of some standard signals,

ROC in Z transformT2

6.4 Constraints on ROC of various classesof signals

T2

6.5 Distinction between Laplace, FourierandZ transforms

T2

6.6 Inverse Z transform T26.7 Properties of Z transform T2

Revision 3Total periods 62

TEXT BOOKS:l. Signals, Systems and Communications - B.p"Lathi2. Signal and Systems - A.V.Oppenheim, A.S.Willsky and S.H.Nawab

REFERENCES:l. Signal and Systerns -- Simon Haykin aud Van Veen

Course coordinator/ Instructor

Approved by:

-$,;rFb/c-^,) r.r.V.trnl5[