bandwidth

n.

1. The numerical difference between the upper and lower frequencies of a band of electromagnetic radiation, especially an assigned range of radio frequencies.
2. The amount of data that can be passed along a communications channel in a given period of time.

Variant: kernel density estimation

A method for the estimation of probability density functions. Suppose X is a continuous random variable with unknown probability density function f. A random sample of observations of X is taken. If the sample values are denoted by x₁, x₂,..., x_n, the estimate of f is given by

where K is a kernel function and the constant A is chosen so that


The observation x_j may be regarded as being spread out between x_j − a and x_j+b (usually with a=b). The result is that the naive estimate of f as being a function capable of taking values only at x₁, x₂,..., x_n, is replaced by a continuous function having peaks where the data are densest. Examples of kernel functions are the Gaussian kernel,


and the Epanechikov kernel,


, The constant h is the window width or bandwidth. The choice of h is critical: small values may retain the spikes of the naive estimate, and large values may oversmooth so that important aspects of f are lost.


Kernel method. In this case a sample of twenty observations have been generated randomly from a chi-squared distribution with twenty degrees of freedom and a Gaussian kernel with h=3 has been used to generate the kernel density estimate.
,

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For more information on bandwidth, visit Britannica.com.

The data transfer capacity of a network. It is measured in bits per second.

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1. [common] Used by hackers (in a generalization of its technical meaning) as the volume of information per unit time that a computer, person, or transmission medium can handle. “Those are amazing graphics, but I missed some of the detail — not enough bandwidth, I guess.” Compare low-bandwidth; see also brainwidth. This generalized usage began to go mainstream after the Internet population explosion of 1993-1994.

2. Attention span.

3. On Usenet, a measure of network capacity that is often wasted by people complaining about how items posted by others are a waste of bandwidth.

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Width of the band of frequencies between the half power points.

(DOD) The difference between the limiting frequencies of a continuous frequency band expressed in hertz (cycles per second). The term bandwidth is also loosely used to refer to the rate at which data can be transmitted over a given communications circuit. In the latter usage, bandwidth is usually expressed in either kilobits per second or megabits per second.

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Common misspelling(s) of bandwidth

• bandwith

Dansk (Danish)
n. - båndbredde

Français (French)
n. - (Comput) largeur de bandes

Deutsch (German)
n. - Bandbreite

Ελληνική (Greek)
n. - ραδιοφωνική συχνότητα, εύρος ζώνης (δεδομένα που μεταδίδονται ανά δευτερόλεπτο)

Español (Spanish)
n. - anchura de la banda, (informática) cantidad de información, rango de frecuencias

Svenska (Swedish)
n. - bandbredd, frekvensområde, datamängd

中文（简体）(Chinese (Simplified))
带宽, 频宽

中文（繁體）(Chinese (Traditional))
n. - 帶寬, 頻寬

한국어 (Korean)
n. - 띠폭(주파수 폭)

العربيه (Arabic)
‏(الاسم) مدى الترددات ( راديو), كميه البيانات ( كومبيوتر)‏

עברית (Hebrew)
n. - ‮רצועת התדירויות הצרה ביותר בה ניתן לשדר סימן מסוים ללא שיבושים‬

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