07-02-2015, 11:49 AM

Anna University , Chennai

Department of B.E. Electronics and Communication Engineering

Third Semester

EC6303 Signals and Systems

Handwritten Lecture Notes

(Units 1, 2, 3 and 4)

(Regulation 2013)

Attachment : Click Here

Syllabus :

SIGNAL AND SYSTEM

UNIT-1

CLASSIFICATION OF THE SIGNALS AND SYSTEM (Page No : 116 – 119)

UNIT-2

ANALYSIS OF CONTINUOUS TIME SIGNALS (Page No : 1 to 115)

UNIT-3

LINEAR TIME INVARIANT CONTINUOUS TIME SYSTEM (Page No : 120 to 177)

UNIT-4

ANALYSIS OF DISCRETE TIME SIGNALS (Page No : 178 to 274)

Content :

UNIT-1

Classification of the signals and system

1. Linear property

2. Time shifting

3. Differential s domain

4. Differential t domain

5. Intial value theorem

6. Final value theorem

Classification of the signal

1. Deterministic signals and random

2. Even and odd signals

3. Energy and power signals

4. Periodic and aperiodic signals

5. Causals and non causals signals

Elements of the CT signal

1. Unit step function

2. Unit ramp function

3. Signal modelling

a. Deterministic

b. Random

Application of the signal and system

UNIT-2

Analysis of continuous time signals

Laplace transform

Types

Inverse laplace

Linearity

Time shifting

Frequency domain

Differential theorem

Integral theorem

Initial value theorem

Final value theorem

Convolution theorem

Ramp function

Properties of the continuous time fourier series

Fourier series in exponential form

Polar form

Properties of the continuous time fourier series

1. Linearity

2. Time shifting

3. Time reversal

Conjugation and conjugate property

Pasvals theorem

Time scaling

Multiplication

Spectrum of continuous time signal

Line spectrum condition

Double side spectrum

1. Amplitude spectrum

2. Frequency spectrum

3. Phase spectrum

Classification of the system

1. Continuous

2. Discrete

Fundamental periods

Energy power signal

Amplitude scaling

Signal addition

Basic operation of the signals

1. Time shifting

2. Time scaling

3. Time reversal

4. Amplitude scaling

5. Signal addition

6. Signal multipier

Triangular pulse function

UNIT-3

LINEAR TIME INVARIANT-CONTINUOUS TIME SYSTEM

1. Impulse response

2. Differential equation

3. Block diagram

a. Scalar addition

b. Multiplication

c. Integration

4. State variable

5. Transfer function

Block diagram

1. Scalar addition

2. Scalar multiplication

3. Intigeration

Methods of block diagram

1. Direct form 1

2. Direct form 2

Differential equation for system

Convolution of integral

Properties

1. Commutative property

2. Distributive property

3. Associative property

4. Shifting property

Convolution with shift impulse

Convolution with unit step function

Convolution with shifted unit step

Width property

Impulse response

UNIT-4

ANALYSIS OF DISCRETE TIME SIGNAL

Z-transform

Properties of roc

Properties of z-transform

Initial value theorem

Final value theorem

Correlation of two sequence

Multiplication of the two sequence

Inverse z-transform

1. Long division method

2. Partial fraction

Convolution method

Existence of DTFT

Sampling theorem

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