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Introduction: Digital signal processing and its objectives.
Introduction to sampling and Fourier Transform.
ampling of sine wave and associate complication.
Review of Sampling Theorem.
Idealized Sampling, Reconstruction.
Filters And Discrete System.
Answering questions from previous lectures..
Desired requirements for discrete system.
Introduction to phasors.
Advantages of phasors in discrete systems.
What do we want from a discrete system?.
Linearity - Homogeneity and Additivity.
Shift Invariance and Characterization of LTI systems.
Characterization of LSI system using it’s impulse response.
Introduction to convolution.
deeper ideas and understanding.
Characterisation of LSI systems, Convolution-properties.
RESPONSE OF LSI SYSTEMS TO COMPLEX SINUSOIDS.
CONVERGENCE OF CONVOLUTION AND BIBO STABILITY.
Commutativity & Associativity.
BIBO Stability of an LSI system.
COURSE OUTLINE: The course begins with a discussion on Discrete-Time signals and systems. This is followed by an introduction of the Z transform, its properties and system theoretic implications. The foundations of digital filter design and realization are built up. Practice Problems with solutions, summaries of each lecture and illustrative explanations of concepts are all additionally provided, to enhance learning.
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