· A rigorous revisit of basic principles in digital communication,
· Stochastic processes and stationary discrete‐time stochastic processes,
· Binary and multi‐hypothesis testing problem, sufficient statistics
· Parallelism to estimation theory, composite detection problem
· Uni‐ and multivariate Gaussian distribution, complex Gaussian and circular symmetry
· Continuous‐time stochastic processes
· Detection in white Gaussian noise
· Non‐coherent detection and nuisance parameters