Probability Theory and Stochastic Processes detailed syllabus for Electronics & Communication Engineering (ECE), 2nd Year 1st Sem R18 regulation has been taken from the JNTUH official website and presented for the B.Tech students affiliated to JNTUH course structure. For Course Code, Subject Names, Theory Lectures, Tutorial, Practical/Drawing, Credits, and other information do visit full semester subjects post given below. We make sure the result links and syllabus uploaded here is latest and up to date, also the syllabus PDF files can also be downloaded from the universities official website.
For Electronics & Communication Engineering (ECE) 2nd Year 1st Sem R18 Regulation Scheme, do visit ECE 2nd Year 1st Sem R18 Scheme. The detailed syllabus for probability theory and stochastic processes is as follows.
Probability Theory and Stochastic Processes Subject Syllabus for ECE 2nd Year 1st Sem R18 Regulation
Pre-requisite:
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Course Objectives:
- This gives basic understanding of random signals and processes sing
- Utilization of Random signals and systems in Communications and Signal Processing areas.
- To known the Spectral and temporal characteristics of Random Process.
- To Learn the Basic concepts of Noise sources
Course Outcomes:
Upon completing this course, the student will be able to
- Understand the concepts of Random Process and its Characteristics.
- Understand the response of linear time Invariant system for a Random Processes.
- Determine the Spectral and temporal characteristics of Random Signals.
- Understand the concepts of Noise in Communication systems.
UNIT – I
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UNIT – II
Operations On Single and Multiple Random Variables – Expectations: Expected Value of a Random Variable, Function of a Random Variable, Moments about the Origin, Central Moments, Variance and Skew, Chebychev’s Inequality, Characteristic Function, Moment Generating Function, Transformations of a Random Variable: Monotonic and Non-monotonic Transformations of Continuous Random Variable, Transformation of a Discrete Random Variable.
Vector Random Variables, Joint Distribution Function and its Properties, Marginal Distribution Functions, Conditional Distribution and Density – Point Conditioning, Conditional Distribution and Density – Interval conditioning, Statistical Independence.
Sum of Two Random Variables, Sum of Several Random Variables, Central Limit Theorem, (Proof not expected). Unequal Distribution, Equal Distributions. Expected Value of a Function of Random Variables: Joint Moments about the Origin, Joint Central Moments, Joint Characteristic Functions, Jointly Gaussian Random Variables: Two Random Variables case, N Random Variable case, Properties, Transformations of Multiple Random Variables, Linear Transformations of Gaussian Random Variables.
UNIT – III
Random Processes – Temporal Characteristics: The Random Process Concept, Classification of Processes, Deterministic and Nondeterministic Processes, Distribution and Density Functions, concept of Stationarity and Statistical Independence. First-Order Stationary Processes, Second-Order and Wide-Sense Stationarity, (N-Order) and Strict-Sense Stationarity, Time Averages and Ergodicity, Mean-Ergodic Processes, Correlation-Ergodic Processes, Autocorrelation Function and Its Properties, Cross-Correlation Function and Its Properties, Covariance Functions, Gaussian Random Processes, Poisson Random Process. Random Signal Response of Linear Systems: System
Response – Convolution, Mean and Mean-squared Value of System Response, autocorrelation Function of Response, Cross-Correlation Functions of Input and Output.
UNIT – IV
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UNIT – V
Noise Sources and Information Theory: Resistive/Thermal Noise Source, Arbitrary Noise Sources, Effective Noise Temperature, Noise equivalent bandwidth, Average Noise Figures, Average Noise Figure of cascaded networks, Narrow Band noise, Quadrature representation of narrow band noise and its properties. Entropy, Information rate, Source coding: Huffman coding, Shannon Fano coding, Mutual information, Channel capacity of discrete channel, Shannon-Hartley law; Trade -off between bandwidth and SNR.
TEXT BOOKS:
- Probability, Random Variables and Random Signal Principles – Peyton Z. Peebles, TMH, 4th Edition, 2001.
- Principles of Communication systems by Taub and Schilling (TMH),2008
REFERENCE BOOKS:
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For detailed syllabus of all the other subjects of B.Tech 2nd Year Electronics & Communication Engineering (ECE), visit Electronics & Communication Engineering (ECE) 2nd Year Syllabus Subjects.
For results of Electronics & Communication Engineering (ECE) 2nd Year 1st Sem R18 Regulation, visit ECE 2nd Year 1st Sem R18 Regulation results direct link.