29-01-2015, 02:11 PM

Anna University , Chennai

Department of B.E. Electronics and Communication Engineering

Third Semester

EC6303 Signals and Systems

Scanned Lecture Notes (All Units) - SriNee Edition

(Common to Bio-medical Engineering)

(Regulation 2013)

Attachment : Click Here

Content :

UNIT-1

Signals

Classification

1. One dimensional

2. Two dimensional

3. Multi dimensional

Classification of signals

1. Continuous time

2. Discrete time signal

Sampling

Digital signal

Elements of CT signal

1. Unit step signal

2. Unit ramp signal

3. Unit parabolic signals

4. Impulse function

5. Rectangular pulse signal

6. Triangular

7. Signum

8. Sinc

9. Gaussian

10. Sinusoidal

11. Real exponential

12. Complex exponential signal

Representation of DT signal

1. Functional representation

2. Graphical representation

3. Tabular representation

4. Sequence representation

Operation of signals

1. Time shifting

2. Time reversal

3. Amplitude scaling

4. Time sealing

5. Signal addition

6. Signal multiplication

Properties of unit impulse function

Properties of impulse function

Classification of signal

1. CT and DT

2. Deterministic and random

3. Periodic and aperiodic

4. Power and energy

5. Even and odd

6. Causal and non-causal

CT and DT system

1. Static and dynamic system

2. Causal and non-causal system

3. Linear and non-linear system

4. Time variant and time invariant

5. Stable and unstable

6. Lumped parameters and distributed parameters

7. Invertible and non-invertible

UNIT-2

1. Fourier series

2. Fourier transformation

3. Laplace transform

TRIGONOMETRIC FOURIER SERIES OF SINE AND COSINE TERMS

Evaluation of fourier co-efficient

Problems

Symmetry condition

Half wave symmetry

Cosine representation

Exponential fourier series

Magnitude spectrum

Phase spectrum

Existence of fourier series (dirichlet’s condition)

Existence of fourier transform

Laplace transform

Convergence of laplace transform

Properties of laplace transform

1. Linearity

2. Transforms of derivation

3. Transform of integral

4. Scaling property

5. Time shift

6. Frequency shift

7. Differentiation in a s domain

8. Time and frequency convolution

9. Initial value theorem

10. Final value theorem

UNIT-3

LINEAR TIME INVARIANT CONTINOUS

Time system

LTI CT system are characterized by

1. Differential equation

2. Block diagrams

3. Impulse response

4. Transfer function

5. Static variable description

Natural response

Forced response

Types of realization

1. Direct form - 1

2. Direct form – 2

3. Cascade form

4. Parallel form

UNIT-4

DTFT

Property

1. Linearity

2. Priority

3. Time shifting

4. Frequency shifting

5. Time reversal

6. Differential in frequency

7. Convolution in time domain

8. Convolution in frequency domain

9. Correction theorem

10. Modulation theorem

11. Symmetric property

12. Parsevals theprem

PROBLEMS

UNIT-5

Basic diagrams

Gain

Adder

Unit delay elements

Direct form of realization

Parallel form of realization

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