Learn · Probability and Random Variables/ Processes for Wireless Communications
Lecture 2 of 23Basics of Probability, Conditional Probability, MAP Principle
Axioms of Probability
Prof. Aditya K. Jagannatham · IIT Kanpur
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- Probability and Random Variables/ Processes for Wireless Communications, IIT Kanpur (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- Teens profiles and older. How courses are placed
All the lectures
- Basics - Sample Space and Events
- Axioms of Probability
- Conditional Probability - Mary-PAM Example
- Independent Events - Mary-PAM Example
- Independent Events - Block Transmission Example
- Independent Events - Multiantenna Fading Example
- Bayes Theorem and Aposteriori Probabilities
- Maximum Aposteriori Probability (MAP) Receiver
- Random Variables, Probability Density Function (PDF)
- Application: Power of Fading Wireless Channel
- Mean, Variance of Random Variables
- Application: Average Delay and RMS Delay Spread of Wireless Channel
- Transformation of Random Variables and Rayleigh Fading Wireless Channel
- Gaussian Random Variable and Linear Transformation
- Special Case: IID Gaussian Random Variables
- Application: Array Processing and Array Gain with Uniform Linear Arrays
- Random Processes and Wide Sense Stationarity (WSS)
- WSS Example Narrowband Wireless Signal with Random Phase
- Power Spectral Density (PSD) for WSS Random Process
- PSD Application in Wireless Bandwidth Required for Signal Transmission
- Transmission of WSS Random Process Through LTI System
- Special Random Processes Gaussian Process and White Noise AWGN Communication Channel
- Gaussian Process Through LTI System Example: WGN Through RC Low Pass Fillter Not Started