This document provides an overview of the course "Introduction to Signals and Systems". The course aims to teach students to perform basic operations on signals, solve convolution integrals and sums, apply Fourier transforms, and analyze linear time-invariant systems using Z-transforms. The course is divided into 5 units covering topics like continuous and discrete time signals, linear time-invariant systems, Fourier series and transforms, sampling, and the Z-transform. Upon completing the course, students will be able to classify different signal types, represent systems using block diagrams, apply Fourier techniques to signal analysis, and use sampling theory and Z-transforms to analyze signals and systems.
This document provides an overview of the course "Introduction to Signals and Systems". The course aims to teach students to perform basic operations on signals, solve convolution integrals and sums, apply Fourier transforms, and analyze linear time-invariant systems using Z-transforms. The course is divided into 5 units covering topics like continuous and discrete time signals, linear time-invariant systems, Fourier series and transforms, sampling, and the Z-transform. Upon completing the course, students will be able to classify different signal types, represent systems using block diagrams, apply Fourier techniques to signal analysis, and use sampling theory and Z-transforms to analyze signals and systems.
This document provides an overview of the course "Introduction to Signals and Systems". The course aims to teach students to perform basic operations on signals, solve convolution integrals and sums, apply Fourier transforms, and analyze linear time-invariant systems using Z-transforms. The course is divided into 5 units covering topics like continuous and discrete time signals, linear time-invariant systems, Fourier series and transforms, sampling, and the Z-transform. Upon completing the course, students will be able to classify different signal types, represent systems using block diagrams, apply Fourier techniques to signal analysis, and use sampling theory and Z-transforms to analyze signals and systems.
This document provides an overview of the course "Introduction to Signals and Systems". The course aims to teach students to perform basic operations on signals, solve convolution integrals and sums, apply Fourier transforms, and analyze linear time-invariant systems using Z-transforms. The course is divided into 5 units covering topics like continuous and discrete time signals, linear time-invariant systems, Fourier series and transforms, sampling, and the Z-transform. Upon completing the course, students will be able to classify different signal types, represent systems using block diagrams, apply Fourier techniques to signal analysis, and use sampling theory and Z-transforms to analyze signals and systems.
3 0 0 3 Pre requisites: Mathematics – I, II & III. Course Outcomes: At the end of the course, a student will be able to: CO 1 Perform the basic operations on the signals and classify various types of signals CO 2 Solve the convolution integral, convolution sum and represent the system via block diagrams. CO 3 Apply Fourier series and Fourier Transform for signal analysis CO 4 Apply sampling theorem to sample and reconstruct an analog signal. CO 5 Analyze LTI systems using Z-transforms. UNIT-I (10 Lectures) SIGNALS: Signal Definition, Continuous time , Discrete time and digital signals, Elementary continuous time signals, representation of DT signals, Elementary DT signals, Basic operations on signals, Classification of Signals, Problems. UNIT-II (10 Lectures) SYSTEMS: The Representation of Signals in terms of Impulses, Continuous- Time LTI systems: The Convolution Integral, Discrete-Time LTI systems: The Convolution sum, Properties of Linear Time-Invariant G V P College of Engineering (Autonomous) 2015 EEE 131
Systems, Systems Described by Differential and Difference Equations,
Block-Diagram Representations of LTI systems described by differential equations and difference equation. UNIT-III (10 Lectures) FOURIER SERIES & FOURIER TRANSFORM: Fourier series representation of continuous time periodic signals. Properties of Fourier series. Examples of continuous time filters described by differential equations. Representation of periodic signals: The CT Fourier transform. The Fourier transform for periodic signals. Properties of continuous time Fourier transform. UNIT-IV (10 Lectures) SAMPLING: Introduction, Representation of continuous time signals by its samples: The sampling theorem. Reconstruction of a signal from its samples using interpolation. The effect of under sampling: aliasing. UNIT-V (10 Lectures) THE Z-TRANSFORM & PROPERTIES: Introduction, the Z-transform, The region of convergence for the Z- Transform, Some common Z-Transform pairs, analysis and characterization of linear time invariant systems using Z-transforms. TEXT BOOKS: 1. Signals and Systems – P. Ramesh babu, R. Ananda Natrajan, 3rd Edition, SCITECH Publications. (UNIT – I) 2. Signals and systems – A.V.Oppenheim, A.S.Willsky and S.H.Nawab, PHI, 2nd Edition, 1997. (UNITS–II, III, IV, V) REFERENCES: 1. Simon Haykin and Van veen, Wiley, “Signals & Systems”, 2nd Edition, 2002. 2. P.Rama Krishna Rao, “Signals & Systems”, 1st Edition, TMH, 2008. G V P College of Engineering (Autonomous) 2015 132 EEE
3. Robert, “Signals & Systems Analysis Using Transformation
Methods & MATLAB”, TMH, 2003. 4. C.L.Philips, J.M.Parr and Eve A.Riskin, “Signals, Systems and Transforms”, Pearson Education. 3rd Edition, 2004. 5. Sanjay Sharma, “Signals and Systems with MATLAB programs”, S.K.Publication, 5th Edition, 2005.