Signals & Systems II: Discrete Signal Spaces

This lecture covers the concept of discrete signal spaces, including finite energy signal spaces, finite support signals, and bounded signals. It discusses non-Euclidean norms, LP-standards, and extended dot products. The instructor explains the properties of standard spaces and the prioritization property. Additionally, the lecture delves into the notion of conjugate pairs, extended dot products, and the Hölder inequality. The distinction between bounded and unrestricted signals is explored, along with inclusion properties and the behavior at infinity. The lecture concludes with examples of categorization and the topology of signal spaces.