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Sathyabama Institute of Science and Technology B.Tech - BioMedical Engineering SBMA1304 Biosignals and Systems Syllabus

SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF BIO AND CHEMICAL ENGINEERING

SBMA1304 BIOSIGNALS AND SYSTEMS
L T P Credits Total Marks
3 * 0 3 100

UNIT 1 CLASSIFICATION OF SIGNALS AND SYSTEMS 9 Hrs.
Continuous time signals (CT Signals) and Discrete time signals (DT Signals)- Step, Ramp, Pulse, Impulse, Exponential -
Classification of CT and DT signals - Periodic, aperiodic and Random signals - Real and complex signals - Energy and
power signals - CT systems and DT systems - Linear time invariant systems - Basic properties of continuous time systems -
Linearity, Causality, Time invariance, Stability.

UNIT 2 ANALYSIS OF CONTINUOUS TIME SIGNALS 9 Hrs.
Definition - Continuous time Fourier transform and Laplace transform analysis with examples - Decaying exponential -
Rising exponential - Double exponential - Basic properties - Linearity - Parseval’s relation - Convolution in time and
frequency domain - Time shifting & Time reversal - Relation between Fourier transform and Laplace transform.

UNIT 3 LINEAR TIME INVARIENT CONTINUOUS TIME SYSTEMS 9 Hrs.
Frequency response of LTI systems - Analysis and characterization of LTI systems using Laplace transform - computation of
impulse response and transfer function using Laplace transform – Differential equation - Impulse response - Convolution
integral and frequency response.

UNIT 4 ANALYSIS OF DISCRETE TIME SIGNALS 9 Hrs.
Spectrum of DT signals, Sampling theorem – Graphical and analytical proof for Band Limited Signals, effect of under
sampling – Aliasing - Basic principles of Z-Transform - Z-Transform definition - Region of convergence - Properties of ROC -
Properties of Z- Transform - Poles and zeros - Inverse Z-Transform using contour integration, Residue theorem, power
series expansion and Partial fraction expansion.

UNIT 5 LINEAR TIME INVARIANT DISCRETE TIME SYSTEMS 9 Hrs.
Characterization using difference equation - properties of convolution and interconnection of LTI systems - Causality and
Stability of LTI Systems – Impulse response , convolution sum and Frequency Response - Computation of Impulse
response and Transfer function using Z-Transform. Random signal-characterization of random signal-stationary and
nonstationary random signal – Ergodic and nonergodic- Ergodicity in the mean –Ergodicity in the autocorrelation- relationship Between two random signals-properties of autocorrelation and cross correlation functions.
Max. 45 Hrs.

COURSE OUTCOMES
On completion of the course, student will be able to
CO1 - Understand the basics of signals and systems.
CO2 - Acquire knowledge in the types of signals and systems.
CO3 - Apply the acquired knowledge in understanding the signal manipulations.
CO4 - Analyse the various signals using different tools and techniques.
CO5 - Investigate the results of various signals in their frequency domain.
CO6 - Develop the system to analyse the real time biosignals.

TEXT/REFERENCE BOOKS
1. Allan V. Oppenheim et al., Signals and Systems, 2nd Edition, Prentice Hall of India Pvt. Ltd., 2003
2. Ramesh Babu P., Signals and Systems, 4th Edition, Scitech Publishers, 2010.
3. Haykin. S. and Van Been. B., Signals and Systems, 2nd Edition, John Wiley & Sons, 2003.
4. Roberts, M.J., Fundamentals of signals and Systems, 1st Edition, Tata McGraw Hill, 2007.
5. Salivahanan S., Digital signal processing, 2nd Edition, Tata McGraw Hill, 2009.
6. Chittode J.S., Signals & Systems, Technical Publication, 2003.

END SEMESTER EXAMINATION QUESTION PAPER PATTERN
Max. Marks: 100 Exam Duration: 3 Hrs.
PART A: 10 Questions of 2 marks each - No choice 20 Marks
PART B: 2 Questions from each unit of internal choice; each carrying 16 marks 80 Marks