Register to reply

Discrete samples into continuous signal

Share this thread:
auntio
#1
May1-12, 03:46 AM
P: 2
A) Let us say that we have some arbitrary sequence of natural numbers. e.g. 1, 2, 7, 3, 17, 19. Is it possible to convert every finite and infinite sequence into some continuous function model, such as in Fourier theory?

I know that it is possible to extract some discrete samples from a continous signal/function and construct the original continuous signal, as provided by Nyquist-Shannon sampling theorem. The question is whether it is possible to construct a continuous signal that models a set of discrete samples. Can this only be approximate?

B) Can every coninuous function/signal be modelled by Fourier theory - converted into a series of sine and consine functions with unique frequencies?
Phys.Org News Partner Mathematics news on Phys.org
Heat distributions help researchers to understand curved space
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture
HallsofIvy
#2
May1-12, 08:13 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,533
Use the "half integer" correction. That is, you assume that a value of "2" could be anywhere from 1 and 1/2 to 2 and 1/2.


Register to reply

Related Discussions
Continuous and Discrete signal Engineering, Comp Sci, & Technology Homework 1
Discrete Fourier transform of sampled continuous signal Engineering, Comp Sci, & Technology Homework 0
Discrete and continuous signal processing Electrical Engineering 2
Discrete time signal to continuous time signal Engineering, Comp Sci, & Technology Homework 0
Discrete signal Electrical Engineering 1