(physics) Describing a signal whose spectral power is zero outside of a band of frequencies
bandlimited
Definition, parts of speech, synonyms, and sentence examples for bandlimited.
Editorial note
The mathematics assumes the sample is of a (bandlimited) periodic signal, but so what?
Quick take
(physics) Describing a signal whose spectral power is zero outside of a band of frequencies
Meaning at a glance
The clearest senses and uses of bandlimited gathered in one view.
Definitions
Core meanings and parts of speech for bandlimited.
adjective
(physics) Describing a signal whose spectral power is zero outside of a band of frequencies
Example sentences
The mathematics assumes the sample is of a (bandlimited) periodic signal, but so what?
The approach, bandlimited interpolation, is executed in the frequency domain here and in the space domain in sinc interpolation.
To be more clear: a sinc reconstruction is correct in the sense that if the original signal was bandlimited before being sampled, the sinc reconstruction will perfectly reproduce the bandlimited input signal.
Not to mention the fact that telephone lines are bandlimited at about 3000 Hz.
No, even if you sum any number of signals, as long as each component signal is bandlimited then the resulting signal is also bandlimited and can be reconstructed perfectly according to the Sampling Theorem.
N with amplitudes 1/N produces a very nice bandlimited sawtooth waveform.
Kernel density plots with a gaussian kernel, on the other hand, can be seen as filtering the empirical density function with a gaussian filter and are thus approximately bandlimited.
Quote examples
Bandlimited interpolation is "correct" in some technical sense for sampled signals and images, making some assumptions about the sampling procedure.
If your goal is "best approximation of what I sampled given the available data", then bandlimited interpolation is good.
In cases where the original signal was not bandlimited concepts like "perceptually optimal" come into play and a different reconstruction filter may be preferable.
It's OT but I can't resist: I recently found out that a selection of these little "synths" have been implemented in the chipsounds VST instrument using its bandlimited oscillators.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use bandlimited in a sentence?
The mathematics assumes the sample is of a (bandlimited) periodic signal, but so what?
What does bandlimited mean?
(physics) Describing a signal whose spectral power is zero outside of a band of frequencies
What part of speech is bandlimited?
bandlimited is commonly used as adjective.