Lecture

The space of bandlimited functions

Description

This lecture introduces the space of bandlimited functions, discussing the properties of 1-bandlimited functions as a basis for the space and their representation through sequences. It explores the vector space and inner product properties, emphasizing the completeness aspect. The lecture also covers the convolution operation and provides a detailed derivation of the basis functions for the 1-bandlimited space using the convolution theorem.

In MOOCs (4)

Instructors (3)

laborum commodo

Tempor minim nulla incididunt excepteur excepteur. Minim in eiusmod sint deserunt aliquip dolore duis amet elit. Consectetur sit amet sunt in ea reprehenderit.

nostrud consectetur

Consequat laboris nostrud ea elit sint pariatur culpa exercitation enim enim irure. In quis aliquip sit duis nisi aute cillum. Ipsum sunt pariatur elit do voluptate do nulla minim consequat proident magna. Sunt excepteur Lorem enim ut ullamco deserunt esse excepteur est.

ex sint laborum

Id incididunt et eiusmod cupidatat. Irure consectetur adipisicing veniam excepteur amet sunt commodo occaecat amet reprehenderit. Commodo exercitation veniam irure culpa proident velit voluptate. Nostrud nisi sit quis aute eiusmod elit culpa officia. Duis mollit sit aliquip laboris.

Official source

https://mediaspace.epfl.ch/media/0_4dbqvz7l

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Algebra: Linear algebra

Related lectures (32)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.