With effect from the academic year 20152016
BIT252
SIGNALS & SYSTEMS
Instruction 4 periods per week
Duration of SemesterEnd Examination 3 Hours
SemesterEnd Examination 75 Marks
Sessional 25 Marks
Course Objectives:
 1To explain signals and systems representations/classifications and also describe the time and frequency domain analysis of continuous time signals with Fourier series, Fourier transforms and Laplace transforms.
 2To understand Sampling theorem, with time and frequency domain analysis of discrete time signals with DTFS, DTFT and ZTransform.
 3To present the concepts of convolution and correlation integrals and also understand the properties in the context of signals/systems and lay down the foundation for advanced courses.
UNITI
Some useful operations on signals: Time shifting, Time scaling, Time inversion.
Signal models: Impulse function, Unit step function, Exponential function, Even and odd signals.
Systems: Linear and Nonlinear systems, Constant parameter and time varying parameter systems,
Static and dynamic systems, Causal and Noncausal systems, Lumped Parameter and distributed parameter systems, Continuoustime and discretetime systems, Analog and digital systems.
UNITII
Fourier Series:
Signals and Vectors, Signal Comparison: correlation, Signal representation by orthogonal signal set, Trigonometric Fourier Series, Exponential Fourier Series, LTI system response to periodic inputs.
UNITIII 


ContinuousTime Signal Analysis: 


Fourier Transform: 
Aperiodic signal 
representation by Fourier integral, Fourier 
Transform of some 
useful functions, 
Properties of Fourier Transform, Signal 
transmission through LTI Systems, ideal and practical filters, Signal energy.
Laplace transform: Definition, some properties of Laplace transform, solution of differential equations using laplace transform.
UNITIV
Discretetime signals and systems: Introduction, some useful discretetime signal models, Sampling continuoustime sinusoids and aliasing, Useful signal operations, examples of discretetime systems.
Fourier Analysis of discretetime signals, periodic signal representation of discretetime Fourier Series, aperiodic signal representation by Fourier integral.
UNITV
Discretetime signal analysis:
ZTransform, some properties of ZTransform, Solution to Linear difference equations using Ztransform, System realization. Relation between Laplace transform and Ztransform.
DTFT: Definition, Properties of DTFT, comparison of continuoustime signal analysis with discretetime signal analysis.
Suggested Reading:
 1.B. P. Lathi, Linear Systems and Signals, Oxford University Press, 2^{nd} Edition, 2009
 2.Alan V O P Penheim, A. S. Wlisky , Signals and Systems, 2^{nd} Edition, Prentice Hall
 3.Rodger E. Ziemer, William H Trenter, D. Ronald Fannin, Signals and Systems, 4^{th} Edition, Pearson 1998.
 4.Douglas K. Linder, Introduction to Signals and Systems, McGraw Hill, 1999
 5.P. Ramakrishna Rao, Signals and Systems, ,