EE1101 Signals and Systems (2016-17 Semester II), Instructor: Dr Uday Khankhoje (for batch 2)
Lectures: Tu 1-2p, Th 4-5p, Fr 2-3p. Tutorials: Mo, 3-4p. All in ESB 242.
Batch 1: Dr Krishna J: CRC 102 on Mo,Tu,Fr; CRC 103 on Th
Batch 3: Dr Deepa: ESB 128 all days
Batch 4: Dr Vinita V: ESB 127 on Mo,Th,Fr; ESB 106 on Tu
- End Sem on Fri 28 Apr at 1pm.
- Quiz 2 on Thu 23 Mar at 8am. No lecture on this day.
- Quiz 1 on Thu 16 Feb at 8am as per institute schedule. No lecture on this day.
- Last two digits of your roll number in mod 4 is your batch number.
||1 ||2 ||3 ||4 ||5 ||6 ||7 ||8 ||9
|Date ||23 Jan ||30 Jan ||06 Feb ||13 Feb ||27 Feb ||10 Mar ||20 Mar ||10 Apr ||18 Apr
- Signal classification (analog-digital, energy-power, even-odd, periodic-aperiodic, deterministic-random etc.), standard signals (unit step, unit impulse, ramp, exponential, sinusoids), transformations of the independent variable (shifting, scaling, reversal). Reading: Ch 1.1-1.5 of BL. Lectures 1-5 (9,12,13,16,17 Jan). Extra notes (1,2) on the dirac delta "function".
- Discrete exponential functions and their properties. Reading: Ch 1.3 of OW. Lecture 7 (20 Jan).
- Discrete unit step and impulse signals and their properties. Reading: Ch 1.4 of OW. Lecture 8 (24 Jan).
- System classifications (linearity, time invariance, memory, analog/digital, continuous /discrete time, causality). Reading: Ch 1.6 of BL. Lecture 6 (19 Jan).
- Discrete time convolution. Reading: Ch 2.0, 2.1 of OW. Lectures 9,10 (27,31 Jan).
- Continuous time convolution. Reading: Ch 2.2 of OW. Lectures 11,12 (2,3 Feb).
- System properties via the impulse response (Causality, memory, stability, invertibility, unit step response). Reading: Ch 2.3 of OW. Lectures 13,14,15,16 (7,9,10,14 Feb)
<== Quiz 1 ==>
- Fourier series of periodic functions:
- History of Fourier series, Euler to Fourier. Reading: Ch 3.0,3.1 of OW. Lecture 17 (17 Feb)
- Response of LTI systems to complex exponentials and Fourier series representation of continuous time periodic signals. Reading Ch 3.2,3.3 of OW. Lectures 18,19 (20,21 Feb)
- Fourier series representation of sawtooth, square and triangular waves, Gibbs phenomena. Lecture 20 (23 Feb)
- Properties of Fourier series and examples. Reading: Ch 3.5 of OW. Lectures 21,23 (24,28 Feb)
- Convergence of Fourier series. Reading: Ch 3.4 of OW. Lecture 22 (27 Feb)
- Fourier series and LTI systems; filtering. Reading: Ch 3.8,3.9 of OW. Lectures 24,25 (06,07 March)
- Fourier Transform:
- Introduction of the continuous time Fourier transform by taking the limit of a periodic signal (i.e. making it aperiodic). Reading: Ch 4.0,4.1 of OW. Lectures 26,27 (9,14 March)
- Fourier transforms of periodic signals. Reading Ch 4.2 of OW. Lecture 28 (15 March)
- Properties of continuous time Fourier transforms. Reading Ch 4.3 of OW. Lecture 29 (16 March)
- Convolution property of Fourier transforms. Reading Ch 4.4 of OW. Lectures 30,31 (17,21 March)
<== Quiz 2 ==>
- On the problem of range detection (between air traffic control radar and an aircraft) using matched filters. See problems 2.67, 2.68 of OW. Lecture 32 (24 March)
- Brief introduction to sampling theorem. Reading Ch 7.1, 7.2 of OW. Lecture 33 (29 March)
- Laplace Transform:
- Introduction to Laplace transform; region of convergence. Reading Ch 9.1,9.2 of OW. Lectures 34,35,36 (30,31 March, 3 April)
- Inverse Laplace transform. Reading Ch 9.3 of OW. Lecture 37 (04 April)
- Properties of Laplace transforms, initial/final value theorems. Reading Ch 9.5,9.6 of OW. Lecture 38 (06 April)
- Laplace transforms and LTI systems, causality/stability. Reading Ch 9.7 of OW. Lecture 39 (07 April)
- Laplace transforms and block system diagrams. Reading Ch 9.8 of OW. Lecture 40 (11 April)
- Unilateral Laplace transform and initial value problems. Reading Ch 9.9 of OW. Lecture 41,42 (12,13 April)
<== End Sem ==>
- See the course Moodle page for syllabus and tutorials.
Text book: Signals and Systems: Oppenheim, Willsky and Nawab (2nd Edn). OW
Reference book: Principles of Linear Systems and Signals: B.P. Lathi (2nd Edn) BL
- As per institute rules, 85% attendance (minimum) is mandatory and will be enforced.
- Academic misconduct: There will be zero tolerance towards any unethical means, such as plagiarism (COPYING in plain and simple terms) or proxy attendance. Read these links to familiarize yourself, there will be no excuse for ignorance: URL1, URL2. Penalties incude: receiving a zero in a particular assignment/examination, receiving a fail grade for the entire course, having a note placed in your permanent academic record, suspension, or all of the above.