**Instructor**

Srikrishna Bhashyam

Office: ESB 212D

Phone: 2257 4439

**Pre-requisites**

Signals and Systems

**Textbook**

U. Madhow, "Introduction to Communication Systems," Cambridge University Press, 2014.

**Course Contents**

(1) Review of Signals and Systems -- Linear time-invariant systems, Fourier series, Fourier transform, Bandwidth, Baseband and passband signals, complex baseband representation of passband signals

(2) Amplitude Modulation (AM) -- Double Sideband - Suppressed carrier AM, Conventional AM, Single sideband AM, Vestigial sideband AM, Quadrature AM

(3) Angle Modulation -- Phase modulation (PM), Frequency modulation (FM), FM spectrum, Phase-locked loops

(4) Signal space representation -- Gram-Schmidt orthogonalization, orthogonal expansion of signals and approximation, vector representation, vector representation of channels

(5) Review of Probability -- Probability basics, Random variables, Random vectors, Independence of random variables, Moments, correlation matrix, covariance matrix, Gaussian random vectors -- Scaling and translation, Standard Gaussian, Joint Gaussianity, linear transformation of jointly Gaussian random vectors

(6) Random processes -- Basic definitions, Second-order statistics, Wide-sense stationarity and stationarity, Power spectral density, Gaussian random processes, Noise modeling, Filtering, Projection of Gaussian noise onto a signal space

(7) Binary modulation on the additive white Gaussian noise channel, Reduction to binary hypothesis testing

**Lecture Notes**

2017 Lecture Notes

**Evaluation**

As per Institute Academic Calendar

Quiz 1 (20%) -- Sep 6, 2017

Quiz 2 (20%) -- Oct 25, 2017

Assignments/Lecture Summary (10%)

Final (50%) -- Nov 16, 2017

**Link to Moodle page**

Click here.