5EC1-SIGNALS AND SYSTEMS |
Units: I-INTRODUCTION : |
Continuous time and discrete time systems, Properties of systems. Linear
time invariant systems - continuous time and discrete time. Properties of LTI systems and their block
diagrams. Convolution, Discrete time systems described by difference equations.
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Units: II-FOURIER SERIES REPRESENTATION OF SIGNALS : |
Fourier series representation of
continuous periodic signal & its properties, Fourier series representation of Discrete periodic signal & its
properties, Continuous time filters & Discrete time filters described by Diff. equation. |
Units: III-FOURIER TRANSFORM: |
The continuous time Fourier transform for periodic and aperiodic
signals, Properties of CTFT. Discrete time Fourier transform for periodic and aperiodic signals. Properties
of DTFT. The convolution and modulation property.
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Units: IV-Z-TRANSFORM & LAPLACE TRANSFORM : |
Introduction. The region of convergence for
the Z-transform. The Inverse Z-transform. Two dimensional Z-transform. Properties of Z transform.
Laplace transform, Properties of Laplace Transform, Application of Laplace transform to system analysis.
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Units: V-SAMPLING : |
Mathematical theory of sampling. Sampling theorem. Ideal & Real sampling.
Interpolation technique for the reconstruction of a signal from its samples. Aliasing. Sampling in freq.
domain. Sampling of discrete time signals.
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