Introduction to the Course and Basic Concepts – Signals & their Transportation – Elementary Signals in the Discrete Time Domain – Characterisation of Signals – Basic concepts of Linear Time Systems – Convolution Invertibility, & Stability Causality – Stability Unit, Step Response and Differential Equations – Systems Described by Differential & Difference Equations – Fourier & His Series – More About Fourier Series (With Uncomfortable Questions) – Those Uncomfortable Questions about the Existence of Fourier & Series and Some More
Introduction to Fourier Transform – Fourier Transform of Periodic Function & Fourier Transform Properties – More Properties of Fourier Transformation – Anatomy of a Class Test & a Continued Look at the Properties of F.T – Modulation, Convolutions and Other Interesting Properties of F.T – A Deeper Look at the Modulation Property of F.T – Fourier Analysis of Discrete Time Signals & Systems – The Beginning – More About Fourier Transform of Discrete Time Signals
Further Look into the Properties of DTFT – Convolution, Modulation & Other Properties of DTFT – Farewell to Discrete Time Fourier Transform & Introduction to Sampling – More About Sampling – Introduction to Laplace Transform – Region of Convergence of Laplace Transform & Properties of Laplace Transform – Properties of Laplace Transform (Contd.) – Concluding Discission on Laplace Transform – Introduction to Z Transform – Properties of Z Transform – Further Discussion on Properties of Z Transform
Solution to Class Test – 2, Concluding Discussion on Z Transform – Introduction to Random Signals & Probability – Probability Functions – Solutions to Minor Z Problems & more about PDF & pdf – More About PDF’S & pdf’s – Classification of Random Processes & Introduction to Correlation Functions – More About Correction Functions – Cross Correlation Function and their Properties – Introduction to Spectral Density – More About Spectral Density – Response of Linear System to Random Inputs – Frequency Domain Analysis of LTI Systems Excited by Random Inputs.
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