Time table for signals systems  from 28th July 2014

Monday 3.15 to 4.15 PM Hall A4
Tuesday 10 to 12  Hall A4
Wednesday 10 to 12 Hall A4

I may engage an extra class on FRIDAY from 10 AM to 12 Noon. Confirmation will be posted on Wednesday afternoon.

Expectations

Expectations of the teacher from Students	Expectations of students from the teacher
Students must attend all the lectures (100%) and be on-time for the lectures. Students should not enter the class after 5 minutes after the start of class.	Teacher should engage all the lectures
Students should study 4 hours in a week the subject at home/hostel/outside the class (typically one hour on the day when the class was engaged) and complete the given assignments as per the given schedule.	Teacher should complete 100% syllabus
Student should feel free to ask questions in the class whenever, he/she does not understand a concept/step.	Teacher should include practical examples to demonstrate the theory.
One who don’t wish to attend the classes for any reason can apply for exemption from attending the classes Before 11th August 2014 and get it approved from the subject teacher.	Problem set should be given at the end of every 10 Lectures in the form of Home assignment.
Students should maintain Decorum of the class.	Teacher should attend practical sessions (once in a while to solve the difficulties of the students)
Students can write an email to yvjoshi@sggs.ac.in in case of any problem as regards to the subject of Signals and systems	Syllabus should be complete at least one week in advance for MSE and ESE.
Students should access the blog www.signalssystemssggs.blogspot.com regularly (once in a day preferably before 7.00PM)  All the communication from teacher to students will only be done either in classroom or on the blog.	All the communication from students to teacher will only be done either in classroom or through email.

Course Evaluation

As per the policy of the institute every course will be evaluated with 30% weightage to Mid Semester Evaluation and 70% weightage to End semester evaluation. However, for a continuous evaluation, I wish to engage two additional tests each of 20 Marks during 3rd/Fourth Week of August and 2nd week of Oct 2014. Performance of these tests will be counted in the Subject of Systems and Control Laboratory.

Passing Marks : 40 ( A student will have to pass the evaluation with total of Mid Semester and End semester Examination evaluation with 40 Marks).

Course Learning Objectives and Outcomes

Course Learning Objectives and Outcomes:

This course trains students for an intermediate level of fluency with signals and systems in both continuous time and discrete time, in preparation for more advanced subjects in digital signal processing (including audio, image and video processing), communication theory, and system theory, control, and robotics. 

Upon successful completion, a student should:

• Be able to classify systems based on their properties: in particular, to understand and exploit the implications of linearity, time-invariance, causality, memory, and bounded-input, bounded-out (BIBO) stability.
• Determine Fourier transforms for continuous-time and discrete-time signals (or impulse-response functions), and understand how to interpret and plot Fourier transform magnitude and phase functions.
• Understand the sampling theorem and how it links continuous-time signals to discrete-time signals.  In particular, know how to derive the sampling theorem from first principles—from the basic properties of the Fourier transform; how the spectrum of a sampled signal relates to the spectrum of the original signal; how to use the sampling theorem to understand aliasing phenomena in the real-world, and how to reduce or prevent aliasing; and how to perform discrete-time processing of continuous-time signals, and vice versa, using A-to-D and D-to-A converters.
• Understand the need to define two new transforms—the Laplace and Z transforms—to treat a class of signals broader than what the Fourier transform can handle.
• Understand the combined implications of linearity and time invariance in the Laplace and Z transform domains.  In particular, know how to represent the response of an LTI system to a more general form of complex exponential—e^st in continuous time or zⁿ in discrete-time—and understand that complex exponentials are eigenfunctions of LTI systems; use the Laplace transform to determine the transfer function of a continuous-time LTI system; solve for a response given the input, system description and initial conditions; and answer questions related to BIBO stability, representations of continuous-time signals and systems; use the Z transform to determine the transfer function of a discrete-time LTI system; solve for a response given the input, system description and initial conditions; and answer questions related to BIBO stability, including the central role of the unit circle in the transform-domain representations of discrete-time signals and systems; represent an LTI system by its transfer function; determine the input-output behavior of an LTI system entirely in the transform domain, using relationships between time-domain and the frequency-domain (e.g., convolution in the time domain corresponds to multiplication in the frequency domain); understand the conditions under which the transfer function of a system (or the Laplace or Z transform of a signal) is rational, and know that a continuous-time LTI system with a rational transfer function can be represented by a linear, constant-coefficient differential equation; and a discrete-time LTI system with a rational transfer function can be represented by a linear, constant-coefficient difference equation.
• Understand the relationships among the various representations of LTI systems—linear constant-coefficient difference or differential equation, frequency response, transfer function, and impulse response—and infer one representation from another (e.g., determine the impulse response from the difference equation, etc.).
• Understand the conditions for a time-domain function to have a Fourier transform, and know how to relate the Fourier transform to its Laplace or Z transform.
• Understand the various properties of the four Fourier transforms, the Laplace transform, and the Z transform—including time-shift, modulation (frequency shift), duality, symmetry and anti-symmetry—and exploit them to analyze and design signals and systems.

Text and Reference books

1. A. V. Oppenheim, A. S. Willsky, and I.T. Nawab, Signals and Systems, 2nd Edition Prentice Hall2012
2. A. V. Oppenheim, A. S. Willsky, and I.T. Young, Signals and Systems, 3rd  Ed. Prentice Hall 1997
3. Simon Haykin, B.V. Veen, Signals and Systems, John Wiely and Sons, 1999

Any Title on Signals and systems published by standard publisher such as McGraw Hill, John Wiley, PH India, Pearson Education, Academic Press, etc.
 

Syllabus

Syllabus for Signals and Systems Course EC 315

 (Semester I Academic year 2014-15)

1.      Introduction to signals and systems, classification of signals, Analog/digital, deterministic/ Stochastic, periodic/aperiodic, Continuous time/Discrete time, one sided/two sided, energy, power contained in the signals, basic definition of signals and systems, frequency, phase, mathematical preliminaries (4)

2.      Continuous Time Signals and Systems
a. Introduction to orthogonal representation of signals
b. Fourier Series analysis – Trigonometric form, Exponential form, Dirichlet Conditions, Magnitude and phase spectra, Series expansion for symmetric signals – Even symmetry, odd symmetry, Half wave symmetry
c. Continuous Time Fourier transform – Definition, Properties – Linearity, Time shift, Modulation, Multiplication, Convolution, differentiation in time and frequency, duality, Parseval’s relation, real signal, even signal, complex conjugate, time reversal, etc. Magnitude and phase spectra of some popular functions in communication such as Unit step, sin/cosine, Gaussian, etc.
d. Continuous time systems – representation, classification – linear, Time invariant, causal, stable, LTI systems and its representation, Convolution, impulse response, frequency response, Integro-differential equations and systems, Laplace Transform- Review, properties, Transfer function. (18)

3.      Discrete Time Signals and Systems
a. Discrete Time Fourier transform – Definition, Properties – Linearity, Time shift, Modulation, Multiplication, Linear Convolution, differentiation in frequency, Parseval’s relation, real signal, even signal, complex conjugate, time reversal, etc. Basic DTFT pairs.
b. Discrete Fourier Transform/Series- Definition, Properties- Periodicity, Circular time shift, DFT of real, conjugate symmetric/anti-symmetric sequences, Evaluation methods- DFT matrices for N=2,3,4,5,and 8, Computational complexity, Circular Convolution, Parseval’s relation.
c. Discrete time systems – representation, classification – linear, Time invariant, causal, stable, memoryless, LTI systems and its representation, Linear Convolution of sequences, impulse response, frequency response, Difference equations and systems, Z – Transfrom- Review, properties, ROC, properties of ROC, Transfer function, poles and zeros (18)

Introduction

This blog is meant for students who have registered for the course EC315 : Signals and systems at TY Electronics and Telecommunication Engineering at SGGS Institute of Engineering and Technology, Nanded in the first semester of the academic year 2014-15. (July to Nov 2014)

Information contained in this blog is sole proprietary of Prof. Y. V. Joshi, Course Coordinator
Blog owner can be contacted at yvjoshi@sggs.ac.in