## EC202 SIGNALS & SYSTEMS

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**MODULE I**

- Elementary Signals, Classification and Representation of Continuous time and Discrete time signals, Signal operations
- Continuous Time and Discrete Time Systems – Classification, Properties.
- Representation of systems: Differential Equation representation of Continuous Time Systems. Difference Equation Representation of Discrete Systems.

**MODULE II**

- Continuous Time LTI systems and Convolution Integral. Discrete Time LTI systems and linear convolution.
- Stability and causality of LTI systems.
- Correlation between signals, orthoganality of signals.

**MODULE III**

- Frequency Domain Representation of Continuous Time Signals- Continuous Time Fourier Series and its properties.
- Convergence,Continuous Time Fourier Transform: Properties.
- Laplace Transform, ROC, Inverse transform, properties, unilateral Laplace Transform.
- Relation between Fourier and Laplace Transforms.

**MODULE IV**

- Analysis of LTI systems using Laplace and Fourier Transforms.
- Concept of transfer function, Frequency response, Magnitude and phase response.
- Sampling of continuous time signals, Sampling theorem for lowpass signals, aliasing.

**MODULE V**

- Z transform, ROC , Inverse transform, properties, unilateral Z transform.
- Frequency Domain Representation of Discrete Time Signals, Discrete Time Fourier Series and its properties.Discrete Time Fourier Transform (DTFT) and its properties

**MODULE VI**

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