## CE721 Mathematical Foundations for Communication Engineering

### Course Name:

CE721 Mathematical Foundations for Communication Engineering

### Programme:

B.Tech (ECE)

### Semester:

Seventh

### Category:

Programme Core (PC)

### Credits (L-T-P):

(3-1-0) 4

### Content:

**Course Objectives**: On completion of the course, the students should be able to appreciate the mathematical concepts that form the foundations of Communication Engineering.

**Course Outcomes**: Students are expected to apply concepts to do mathematical modelling and analysis of Communication Systems.

**Course Content**:

Linear Algebra - System of Linear Equations, Matrices, Vector Spaces, Basis, Dimensions, Linear Mappings, Matrices and Linear Operators, Determinants, Eigen Values and Eigen Vectors, Computational Linear Algebra, Orthogonalization, Algorithms in Linear Algebra (LU, QR, GS, SVD).

Probability Theory - Review of Probability Theory, Random variables,- Continuous and Discrete, Multiple Random variables, Sum of Random variables, Example Distributions,

Limit Theorems.

Random Processes - Stationary Processes, Ergodicity and applications in Communication Engineering.

Self study component - Applications of Linear Algebra to Error Correcting codes, Data Compression, Statistical Modelling of Communication Channels.

### References:

Video Lectures on Advanced Matrix Theory by Prof. R Vittal Rao, on NPTEL website

Video Lectures on Linear Algebra by Prof. Gilbert Strang, on MIT Open Courseware

3. Gilbert Strang, ``Linear Algebra and its Applications”, Cengage Learning, 2006.

Huffman, Kunze, ``Linear Algebra”, PHI, 1998.

. Stark, Woods, `` Probability, Random Process”, PHI 2002.

T K Moon, W C Stirling, `` Mathematical Methods and Algorithms for Signal Processing”, Prentice Hall, 2000.

### Department:

Electronics and Communication Engineering(ECE)