Continuous and Descrete time signals
Continuos and Descrete valued signals
Deterministic and Random Signals
Energy and Power signals
Odd and Even signals Periodic and Aperiodic Signals
1.2 Special Signals
Complex Exponential Signals
Impulse
Unit Step
1.3 Continuous and Descerete time Systems
1.3.1 Inter Connections Between Systems
Cascaded
Parallel
Series - Parallel Feedback
1.3.2 System Properties
System with or without memory
Inverse Systems
Time Invariance Linearity *Causility
1.4 Operations On signals
Time Delay
Time Scaling
Negation
1.5 Linear Time Invarient Systems
1.5.1 Convolution For Descrete LTI system
1.5.2 Convolution For Continous LTI system
1.6 Properties of Convolution
Commutativity Distributivity *Condition for Inverse
Laplace Transform of Convolution
2.0 Fourier Series
2.1 Introduction
2.1.1 Inter-domain Analysis
2.1.2 Periodic Signals
2.1.3 Vector Space
2.2 Fourier Series
2.2.1 Introduction
2.2.2 Coefficients of Fourier Series
2.3 Properties of Fourier Series
2.3.1 Linearity
2.3.2 Time shifting
2.3.3 Time Reverse
2.3.4 Time Scaling
2.3.5 Properties For Real Signals
Real and Even
Real and Odd
2.3.6 Differentiation and Integration
2.3.7 Fourier Series of an Impulse
2.4 Trignometric Fourier Series
2.5 Power of a periodic signal
Parseval's Theorem
2.6 Periodic Signal through LTI system
3.0 Fourier Transform
3.1 Introduction
3.1.1 Complex Valued Functions
3.1.2 From F.S. to F.T.
3.1.3 Fouries Transform and Inverse F.T.
3.1.4 F.T. and L.T.
3.2 Fouries Transforms of Signals
3.2.1
and
3.2.2 Delta Function
3.2.3 Square Pulse
3.2.4 Unit Step Function
3.3 Properties of F.T.
3.3.1 Linearity
3.3.2 Time Shifting
3.3.3 Modulation / Shifting in Frequency
3.3.4 Differentiation and Integratino
3.3.5 Time Scaling
3.3.6 Time Reversal
3.3.7 Uses of Properties (examples of derivations)
F.T. of Periodic Signals
3.4 F.T. properties of real signals
Real signals
Real even signals
Real Odd signals
3.5 Duality
3.6 Energy of the signal
Parseval's Theorem
3.6 Modulation
3.7 L.T.I. systems and F.T.
3.7.1 Frequency response
3.7.2 Convolution Property
3.7.3 Differentiation Property