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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