The necessities in Random Processes
Random Variables
editSingle Random Variables
edit- Random Variables (A.pdf)
- Distribution Function (A.pdf)
- Density Function (A.pdf)
- Functions of Random Variables (A.pdf)
- Gaussian Random Variables (A.pdf, B.pdf)
- Other Distribution and Density Functions (A.pdf)
- Conditional Distribution and Density Functions (A.pdf)
The Characteristics of a Single Random Variable
edit- Expected Value (A.pdf)
- Moments (A.pdf, B.pdf)
- Moment Generating Functions (A.pdf)
- Transformations of Random Variables (A.pdf)
Multiple Random Variables
edit- Vector Random Variables (A.pdf)
- Joint Distribution (A.pdf)
- Joint Density (A.pdf)
- Conditional Joint Distribution and Density (A.pdf)
- Statistical Independence (A.pdf)
- Sums of Random Variables (A.pdf)
- Central Limit Theorem (A.pdf)
The Characteristics of Multiple Random Variables
edit- Expected Values (A.pdf)
- Joint Characteristic Functions (A.pdf)
- Jointly Gaussian Random Variables (A.pdf)
- Transformations of Multiple Random Variables (A.pdf)
- Linear Transformation of Gaussian Random Variables (A.pdf)
- Simulating Multiple Random Variables (A.pdf)
- Sampling and Some Limit Theorem (A.pdf)
- Complex Random Variables (A.pdf)
Random Processes
editThe Temporal Characteristics of Random Processes
edit- Random Processes (A.pdf, B.pdf, C.pdf)
- Joint Distribution, Independence, Processes (A.pdf)
- Stationary Random Processes (A.pdf, B.pdf)
- Covariance & Correlation of Random Variables (A.pdf)
- Covariance & Correlation of Random Processses (A.pdf)
- Example Random Processes (A.pdf)
- Ergodic Random Processes (A.pdf, B.pdf)
- Measurement of Correlation Functions (A.pdf)
- Complex Random Processes (A.pdf)
The Spectral Characteristics of Random Processes
edit- Power Density Spectrum - Continuous Time (A.pdf)
- Auto Correlation Function (A.pdf)
- Power Density Spectrum - Discrete Time (A.pdf)
- Cross Power Density Spectrum (A.pdf)
- Cross Correlation Function (A.pdf)
- Noise Definitions (A.pdf)
- Power Spectrum of Complex Random Processes (A.pdf)
Linear System with Random Inputs
edit- Continuous Time LTI System (A.pdf)
- Discrete Time LTI System (A.pdf)
- System Response (A.pdf)
- Spectral Characteristics (A.pdf)
- Noise Modeling (A.pdf)
Optimum Linear System
edit
Noise in Some Application Systems
edit- AM Communication Systems (A.pdf)
- FM Communication Systems (A.pdf)
- Control Systems (A.pdf)
- PLL Systems (A.pdf)
- Random Waveforms (A.pdf)
- Radar Systems (A.pdf)
Correlation and Power Spectra
edit
Ergodicity, Statistics, Estimation
edit
Random Processes and Linear Systems
edit
- Time Domain Techniques for Noisy Signals (A.pdf, B.pdf)
- Frequency Domain Techniques for Noisy Signals
- Correlation v.s. Convolution for Noisy Signals
go to [ Electrical_&_Computer_Engineering_Studies ]
- ↑ Understanding Digital Communications, See Baseband Mod/Demod Section