Lectures related to Convolution: Properties and Applications

Explains the union of sets, its properties, operations, and intersection.

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Covers addition properties and operations in the set of integers Z.

Introduces set intersection, its properties, and its relation to arithmetic operations.

Covers the properties of frequency response for discrete-time systems and system composition.

Explores discrete signals, Fourier transform, modulation, convolution, DFT properties, and signal periodicity.