Lectures related to Gaussian noise

Parametric Signal Models: Matlab Practice

Covers parametric signal models and practical Matlab applications for Markov chains and AutoRegressive processes.

Linear Algebra: Projection and Rotation

Covers projection, rotation, white Gaussian noise, and waveform observation in linear algebra.

Poisson Shot Noise: Signal-to-Noise Ratio of a Photodetector

Explores Poisson processes in communication systems, focusing on photodetectors and signal-to-noise ratio calculations.

Hypothesis Testing with Gaussian Noise

Covers hypothesis testing with Gaussian noise and the standard Gaussian distribution.

Gaussian Noise: Decision Making

Covers Gaussian noise and decision-making in communication systems, emphasizing the importance of understanding Gaussian noise in signal processing.

The Spike-Wigner model

Explores the Spike-Wigner model, low-rank matrix factorization, and Gaussian matrices.

Continuous-Time Stochastic Processes: Error Rate of PAM Signal

Explores the error rate of a Pulse Amplitude Modulation (PAM) signal transmission.

Communication Channels: Gaussian Noise and Capacity

Explores the capacity of communication channels with Gaussian noise and noise impact.

Wireless Receivers: Gaussian Noise and Error Probability Estimation

Covers wireless receivers in the presence of Gaussian noise and error probability estimation.

Maximum Likelihood Estimation: Linear Models

Explores maximum likelihood estimation in linear models, covering Gaussian noise, covariance estimation, and support vector machines for classification problems.

High-Speed Photodetectors: Bit Error Rate and Eye Diagrams

Covers bit error rate and eye diagrams in high-speed photodetectors, emphasizing their impact on optical communication performance.

Sparse Regression

Covers the concept of sparse regression and the use of Gaussian additive noise in the context of MAP estimator and regularization.

Poisson Process: Signal-to-Noise Ratio of a Photodetector

Explores Poisson processes in photodetectors, emphasizing signal-to-noise ratio calculations under different conditions.

Linear Quadratic Gaussian Control: Kalman Filtering and LQG Control

Covers innovation-based tests for Kalman filtering, LQG control, and the linearized Kalman filter.

Communication Systems: Signal Transmission and Noise

Explores signal transmission, noise impact, and error probability calculations in communication systems.

Signal Processing Fundamentals

Covers the basics of signal processing, including auto covariance function, power spectral density, and filter design.

White Gaussian Noise in Communication Systems

Covers White Gaussian Noise in communication systems and its impact on signal transmission.

Noise in Electronics

Introduces the fundamentals of noise in electronics, covering origins, signal types, power characteristics, and noise sources.

Multivariable Control

Covers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.

Spectral Estimation: Gaussian vs Binary Signals

Explores spectral estimation for Gaussian and binary signals in the spiked matrix estimation problem, analyzing the impact of signal-to-noise ratio.