Introduction:
Definitions of a signal and a system, classification of signals, basic operations on signals, elementary signals, Systems viewed as interconnections of operations, properties of systems. Introduction to physiological signals.
Time-domain representations for LTI systems:
Convolution, Impulse response representation, Convolution Sum and Convolution Integral. Properties of impulse response representation, Differential and difference equation representations, Block diagram representations. The above concepts can be implemented by using Matlab.
Fourier representation of signals:
Introduction, Discrete time, continuous time Fourier series Continuous Fourier transforms (derivations of transforms and properties are excluded). Discrete Fourier transforms (derivations of transforms and properties are excluded) and their properties. The above concepts can be implemented by using Matlab.
Applications of Fourier representations:
Introduction, Frequency response of LTI systems, Fourier transforms representation of periodic signals, Fourier transform representation of discrete time signals. Synthesis of a physiological signal using Fourier series and Fourier transform.
Z-Transform:
Introduction, properties of ROC, properties of Z-Transform, inversion of Z-transform, transform analysis of LTI Systems, transfer function, stability and causality, unilateral Z- Transform and its application to solve difference equations. Analysis of Physiological signals using ZT.
Course Outcomes:
After studying this course, students will able to:
1. Characterize and analyze the properties of CT and DT signals and systems
2. Analyze CT and DT systems in Time domain using convolution and differential equation
3. Represent CT and DT systems in the Frequency domain using Fourier analysis tools like CTFS, CTFT, DTFS and DTFT.
4. Conceptualize the effects of sampling a CT signal and analyze CT and DT systems using Z Transforms
Graduate Attributes (as per NBA)
• Engineering Knowledge
• Problem Analysis
• Design / development of solutions
• Interpretation of data
Question Paper Pattern:
• The question paper will have TEN questions.
• Each full question carry 20 marks
• There will be TWO full questions (with maximum of THREE sub questions) from each module.
• Each full question will have sub questions covering all the topics under a module.
• The students will have to answer FIVE full questions, selecting ONE full question from each module.
Text Books:
1. Simon Haykin and Barry Van Veen “Signals and Systems”, John Wiley & Sons, 2nd edition,2012
2. Suresh R. Devasahayam, Signals and systems in biomedical engineering, Plenum Publishers, 2000.
Reference Books:
1. Alan V Oppenheim, Alan S, Willsky and A Hamid Nawab, “Signals and Systems” Pearson Education \\ Asia / PHI, 3nd edition, 1997. Indian Reprint 2011
2. H. P Hsu, R. Ranjan, “Signals and Systems”, Scham’s outlines, TMH, 2011
3. B. P. Lathi, “Linear Systems and Signals”, Oxford University Press, 2010
4. Ganesh Rao and Satish Tunga, “Signals and Systems”, Sanguine Technical Publishers, 2012.