Course Introduction - Digital Signal Processing and its Applications. Lecture 1: Introduction: Digital signal processing and its objectives. Lecture 2A: Introduction to sampling and Fourier Transform. Lecture 2B: Sampling of sine wave and associate complication. Lecture 3A: Review of Sampling Theorem. Lecture 3B: Idealized Sampling, Reconstruction. Lecture 3C: Filters And Discrete System. Lecture 4A: Answering questions from previous lectures.. Lecture 4B: Desired requirements for discrete system. Lecture 4C: Introduction to phasors. Lecture 4D: Advantages of phasors in discrete systems. Lecture 5A: What do we want from a discrete system?. Lecture 5B: Linearity - Homogeneity and Additivity. Lecture 5C: Shift Invariance and Characterization of LTI systems. Lecture 6A: Characterization of LSI system using it’s impulse response. Lecture 6B: Introduction to convolution. Lecture 6C: Convolution:deeper ideas and understanding. Lecture 7A: Characterisation of LSI systems, Convolution-properties. Lecture 7B: RESPONSE OF LSI SYSTEMS TO COMPLEX SINUSOIDS. Lecture 7C: CONVERGENCE OF CONVOLUTION AND BIBO STABILITY. Lecture 8A: Commutativity & Associativity. Lecture 8B: BIBO Stability of an LSI system. Lecture 8C: Causality and memory of an LSI system.. Lecture 8D: Frequency response of an LSI system.. Lecture 9A: Introduction and conditions of Stability. Lecture 9B: Vectors and Inner Product.. Lecture 9C: Interpretation of Frequency Response as Dot Product. Lecture 9D: Interpretation ofFrequency Responseas Eigenvalues. Lecture 10A: Discrete time fourier transform. Lecture 10B: DTFT in LSI System and Convolution Theorem.. Lecture 10C: Definitions of sequences and Properties of DTFT.. Lecture 11A: Introduction to DTFT, IDTFT. Lecture 11B: Dual to convolution property. Lecture 11C: Multiplication Property, Introduction to Parseval’s theorem. Lecture 12A: Introduction And Property of DTFT. Lecture 12B: Review of Inverse DTFT. Lecture 12C: Parseval’s Theorem and energy and time spectral density. Lecture 13A: Discussion on Unit Step. Lecture 13B: Introduction to Z transform. Lecture 13C: Example of Z transform. Lecture 13D: Region of Convergence. Lecture 13E: Properties of Z transform. Lecture 14A: Z- Transform. Lecture 14B: Rational System. Lecture 15A: INTRODUCTION AND EXAMPLES OF RATIONAL Z TRANSFORM AND THEIR INVERSES. Lecture 15B: DOUBLE POLE EXAMPLES AND THEIR INVERSE Z TRANSFORM. Lecture 15C: PARTIAL FRACTION DECOMPOSITION. Lecture 15D: LSI SYSTEM EXAMPLES. Lecture 16A: Why are Rational Systems so important?. Lecture 16B: Solving Linear constant coefficient difference equations. Lecture 16C: Introduction to Resonance in Rational Systems. Lecture 17A: Characterization of Rational LSI system. Lecture 17B: Causality and stability of the ROC of the system function. Lecture 18A: RECAP OF RATIONAL SYSTEMS AND DISCRETE TIME FILTERS. Lecture 18B: SPECIFICATIONS FOR FILTER DESIGN. Lecture 18C: FOUR IDEAL PIECEWISE CONSTANT FILTERS. Lecture 18D: IMPORTANT CHARACTERISTICS OF IDEAL FILTERS. Lecture 19A: Synthesis of Discrete Time Filters, Realizable specifications. Lecture 19B: Realistic Specifications for low pass filter. Filter Design Process. Lecture 20A: Introduction to Filter Design. Analog IIR Filter, FIR and IIR discrete-time filter.. Lecture 20B: Analog to discrete transform. Lecture 20C: Intuitive transforms, Bilinear Transformation. Lecture 21A: Steps for IIR filter design. Lecture 21B: Analog filter design using Butterworth Approximation. Lecture 22A: Butterworth filter Derivation And Analysis of butterworth system function. Lecture 22B: Chebychev filter Derivation. Lecture 23: Midsem paper review discussion. Lecture 24A: The Chebyschev Approximation. Lecture 24B: Next step in design: Obtain poles. Lecture 25A: Introduction to Frequency Transformations in the Analog Domain. Lecture 25B: High pass transformation. Lecture 25C: Band pass transformation. Lecture 26A: Frequency Transformation. Lecture 26B: Different types of filters. Lecture 27A: Impulse invariant method and ideal impulse response. Lecture 27B: Design of FIR of length (2N+1) by the truncation method, Plotting the function V(w). Lecture 28A: IIR filter using rectangular window, IIR filter using triangular window. Lecture 28B: Proof that frequency response of an fir filter using rectangular window function. Lecture 29A: Introduction to window functions. Lecture 29B: Examples of window functions. Lecture 29C: Explanation of Gibb’s Phenomenon and it’s application. Lecture 30A: Comparison of FIR And IIR Filter’s. Lecture 30B: Comparison of FIR And IIR Filter’s. Lecture 30C: Comparison of FIR And IIR Filter’s. Pseudo-Linear Phase Filter, Signal Flow Graph.. Lecture 31B: Comprehension of Signal Flow Graphs and Achievement of Pseudo Assembly Language Code.. Lecture 32A: Introduction to IIR Filter Realization and Cascade Structure. Lecture 32B: Cascade Parallel Structure. Lecture 32C: Lattice Structure. Lecture 33A: Recap And Review of Lattice Structure, Realization of FIR Function.. Lecture 33B: Backward recursion, Change in the recursive equation of lattice.. Lecture 34A: Lattice structure for an arbitrary rational system. Lecture 34B: Example realization of lattice structure for rational system. Lecture 35A: Introductory Remarks of Discrete Fourier Transform and Frequency Domain Sampling. Lecture 35B: Principle of Duality, The Circular Convolution.