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Signals and Systems Premium Lecture Notes (All 5 Units) Prepared by SriNee. Specially for Electronics and Communication Engineering. Syllabus Covered based on Anna University B.E Electronics and Communication Engineering.
Content :
SIGNAL AND SYSTEM
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 - Additional Information
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Additional Information
Pages 145 Author SriNee - Reviews
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