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Gaussian Random Variable and Linear Transformation
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Classroom Contents
Probability and Random Variables - Processes for Wireless Communications
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- 1 Probability and Random Variables/ Processes for Wireless Communications
- 2 Basics - Sample Space and Events
- 3 Axioms of Probability
- 4 Conditional Probability - Mary-PAM Example
- 5 Independent Events - Mary-PAM Example
- 6 Independent Events - Block Transmission Example
- 7 Independent Events - Multiantenna Fading Example
- 8 Bayes Theorem and Aposteriori Probabilities
- 9 Maximum Aposteriori Probability (MAP) Receiver
- 10 Random Variables, Probability Density Function (PDF)
- 11 Application: Power of Fading Wireless Channel
- 12 Mean, Variance of Random Variables
- 13 Application: Average Delay and RMS Delay Spread of Wireless Channel
- 14 Transformation of Random Variables and Rayleigh Fading Wireless Channel
- 15 Gaussian Random Variable and Linear Transformation
- 16 Special Case: IID Gaussian Random Variables
- 17 Application: Array Processing and Array Gain with Uniform Linear Arrays
- 18 WSS Example Narrowband Wireless Signal with Random Phase
- 19 Random Processes and Wide Sense Stationarity (WSS)
- 20 Power Spectral Density (PSD) for WSS Random Process
- 21 PSD Application in Wireless Bandwidth Required for Signal Transmission
- 22 Transmission of WSS Random Process Through LTI System
- 23 Special Random Processes Gaussian Process and White Noise AWGN Communication Channel
- 24 Gaussian Process Through LTI System Example: WGN Through RC Low Pass Fillter Not Started
