Lecture

Signal spaces: Inner product, infinite-length signals, and completeness

Description

This lecture covers signal spaces, including finite-length and periodic signals living in CN, inner product for signals defined for finite-length vectors, the concept of infinite-length signals and the requirement for sequences to be square-summable, the distinction between well-behaved infinite-length signals in l₂(Z) and incomplete spaces like the set of rational numbers, and the definition of Hilbert Space as a vector space with an inner product and completeness.

In MOOCs (4)

Instructors (3)

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Official source

https://mediaspace.epfl.ch/media/0_8svx98i6

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