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Signals and Systems

Signals and Systems. Instructor: Prof. K.S. Venkatesh, Department of Electrical Engineering, IIT Kanpur. This course is a study of signals and systems, covering topics: formal definition of 'signal' and 'system', continuous and discrete signals, continuous and discrete-time systems, Linear Time-Invariant (LTI) systems, representation of continuous and discrete-time convolution, differential equations, difference equations, filters, periodic signals, Fourier series, Fourier transform and its properties, discrete-time Fourier transform, frequency response of continuous and discrete LTI systems, sampling, Laplace transform and its properties, inverse Laplace transform, z-transform and its properties, inverse z-transform. (from nptel.ac.in)

Signals


Lecture 01 - Signals
Lecture 02 - Domain and Range of Signal
Lecture 03 - Introduction to Systems
Lecture 04 - Properties of Signals
Lecture 05 - Frequently used Continuous Signals
Lecture 06 - Frequently used Discrete-Time Signals
Lecture 07 - Transformations on Time and Range
Lecture 08 - Properties of Systems: Memory, Causality
Lecture 09 - Properties of Systems: Stability, Linearity
Lecture 10 - Communication Diagram as a Test for Linearity and Time Invariance
Lecture 11 - Linear Time-Invariant (LTI) Systems
Lecture 12 - Representation of Discrete-Time Convolution
Lecture 13 - Representation of Continuous-Time Convolution
Lecture 14 - Properties of Convolution
Lecture 15 - Differential Equations
Lecture 16 - Solving Differential Equations
Lecture 17 - Physical System and Differential Equations
Lecture 18 - System described by Differential Equations
Lecture 19 - System described by Differential Equations (cont.)
Lecture 20 - Introduction to Difference Equations
Lecture 21 - LTI Systems described by Difference Equations
Lecture 22 - Filters
Lecture 23 - Implementation with Integrators
Lecture 24 - Theory of Signal Representation
Lecture 25 - Representation of Periodic Signals
Lecture 26 - Fourier Series
Lecture 27 - Fourier Spectrum
Lecture 28 - Fourier Transform
Lecture 29 - Properties of Continuous-Time Fourier Transform
Lecture 30 - Properties of Continuous-Time Fourier Transform (cont.)
Lecture 31 - Frequency Response of Continuous LTI System
Lecture 32 - Discrete Signals and System Representation
Lecture 33 - Discrete Time Fourier Transform
Lecture 34 - Properties of Discrete Time Fourier Transform
Lecture 35 - Frequency Response of Discrete LTI System
Lecture 36 - Ideal Sampling
Lecture 37 - Flat Top Sampling
Lecture 38 - Faithful Sampling
Lecture 39 - Interpolation
Lecture 40 - Laplace Transform
Lecture 41 - Inverse Laplace Transform
Lecture 42 - Properties of Laplace Transform
Lecture 43 - z-Transform
Lecture 44 - Inverse z-Transform
Lecture 45 - Properties of z-Transform

References
Signals and Systems
Instructor: Prof. K.S. Venkatesh, Department of Electrical Engineering, IIT Kanpur. This course is a study of signals and systems.