With effect from the academic year 2015-2016
BIT-252
SIGNALS & SYSTEMS
Instruction 4 periods per week
Duration of Semester-End Examination 3 Hours
Semester-End 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 Z-Transform.
- 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.
UNIT-I
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 Non-linear systems, Constant parameter and time varying parameter systems,
Static and dynamic systems, Causal and Non-causal systems, Lumped Parameter and distributed parameter systems, Continuous-time and discrete-time systems, Analog and digital systems.
UNIT-II
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.
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UNIT-III |
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Continuous-Time Signal Analysis: |
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Fourier Transform: |
Aperiodic signal |
representation by Fourier integral, Fourier |
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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.
UNIT-IV
Discrete-time signals and systems: Introduction, some useful discrete-time signal models, Sampling continuous-time sinusoids and aliasing, Useful signal operations, examples of discrete-time systems.
Fourier Analysis of discrete-time signals, periodic signal representation of discrete-time Fourier Series, aperiodic signal representation by Fourier integral.
UNIT-V
Discrete-time signal analysis:
Z-Transform, some properties of Z-Transform, Solution to Linear difference equations using Z-transform, System realization. Relation between Laplace transform and Z-transform.
DTFT: Definition, Properties of DTFT, comparison of continuous-time signal analysis with discrete-time signal analysis.
Suggested Reading:
- 1.B. P. Lathi, Linear Systems and Signals, Oxford University Press, 2nd Edition, 2009
- 2.Alan V O P Penheim, A. S. Wlisky , Signals and Systems, 2nd Edition, Prentice Hall
- 3.Rodger E. Ziemer, William H Trenter, D. Ronald Fannin, Signals and Systems, 4th Edition, Pearson 1998.
- 4.Douglas K. Linder, Introduction to Signals and Systems, McGraw Hill, 1999
- 5.P. Ramakrishna Rao, Signals and Systems, ,