Precision - Revision history

Apm at 14:06, 6 October 2024

2024-10-06T14:06:26Z

← Older revision		Revision as of 16:06, 6 October 2024
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	* [[Topological atomic precision]]		* [[Topological atomic precision]]
	* [[Positional atomic precision]]		* [[Positional atomic precision]]

			{{wikitodo\|Add the classic illustration of a dart board to illustrate precision and accuracy …}}

	== Precision in the context of manipulation with actuators ==		== Precision in the context of manipulation with actuators ==

Apm: /* Precision in the context of measurements with sensors */ wideness => width

2024-02-23T14:54:17Z

Precision in the context of measurements with sensors: wideness => width

← Older revision		Revision as of 16:54, 23 February 2024
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	'''Precision:'''<br>		'''Precision:'''<br>
	* The narrowness (linguistic use) or ~~wideness~~ (math use) of the random distribution in the (nowadays digital and discrete) measurement readout. <br>Usually expressed in standard deviation, FWHM or similar.		* The narrowness (linguistic use) or width (math use) of the random distribution in the (nowadays digital and discrete) measurement readout. <br>Usually expressed in standard deviation, FWHM or similar.
	* Not(!) the possibly present random distribution in the "real" value.<br> (Note the problem of drawing the line betwene noise in the "real" value and noise in the measurement system!)		* Not(!) the possibly present random distribution in the "real" value.<br> (Note the problem of drawing the line betwene noise in the "real" value and noise in the measurement system!)
	* inverse of random measurement deviation		* inverse of random measurement deviation

Apm: /* Precision in the context of measurements with sensors */ pf => of

2024-02-23T14:49:58Z

Precision in the context of measurements with sensors: pf => of

← Older revision		Revision as of 16:49, 23 February 2024
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	'''Precision:'''<br>		'''Precision:'''<br>
	* The narrowness (linguistic use) or wideness (math use) of the random distribution in the (nowadays digital and discrete) measurement readout. <br>Usually expressed in standard deviation, FWHM or similar.		* The narrowness (linguistic use) or wideness (math use) of the random distribution in the (nowadays digital and discrete) measurement readout. <br>Usually expressed in standard deviation, FWHM or similar.
	* Not(!) the possibly present random distribution in the "real" value.<br> (Note the problem pf drawing the line betwene noise in the "real" value and noise in the measurement system!)		* Not(!) the possibly present random distribution in the "real" value.<br> (Note the problem of drawing the line betwene noise in the "real" value and noise in the measurement system!)
	* inverse of random measurement deviation		* inverse of random measurement deviation
	* The unit of precision (when used in the linguistic sense) is the inverse of the measurement quantity <br>("more precise" <=> higher value of inverse standard deviation)		* The unit of precision (when used in the linguistic sense) is the inverse of the measurement quantity <br>("more precise" <=> higher value of inverse standard deviation)

Apm: added links to the two main sub pages on top

2017-08-11T16:17:19Z

added links to the two main sub pages on top

← Older revision		Revision as of 18:17, 11 August 2017
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	{{stub}}		{{stub}}
			See also:
			* [[Topological atomic precision]]
			* [[Positional atomic precision]]

	== Precision in the context of manipulation with actuators ==		== Precision in the context of manipulation with actuators ==

Apm: added notes about and Wikipedia link to "Discretization_error"

2017-08-11T15:43:58Z

added notes about and Wikipedia link to "Discretization_error"

← Older revision		Revision as of 17:43, 11 August 2017
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	* inverse of random measurement deviation		* inverse of random measurement deviation
	* The unit of precision (when used in the linguistic sense) is the inverse of the measurement quantity <br>("more precise" <=> higher value of inverse standard deviation)		* The unit of precision (when used in the linguistic sense) is the inverse of the measurement quantity <br>("more precise" <=> higher value of inverse standard deviation)
			* Precision (of single measurements**) can never exceed (be finer than) resolution.

	Precision sits on top of resolution!		Precision sits on top of resolution!
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	* In case precision is far lower than resolution a one step difference is pretty meaningless.		* In case precision is far lower than resolution a one step difference is pretty meaningless.
	* The unit of resolution is: readable steps per unit of measurement quantity		* The unit of resolution is: readable steps per unit of measurement quantity
			* Resolution is always higher than Precision (of single measurements**)

	~~Precision (of single measurements**) can never exceed (be finer than)~~ resolution.		When precision closes in on resolution discretization error joins the party complicating things.

	'''Accuracy:''' (trueness)		'''Accuracy:''' (trueness)
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	* noise; standard deviation; bandwith		* noise; standard deviation; bandwith

			* [https://en.wikipedia.org/wiki/Discretization_error Discretization_error]
	* [https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem Nyquist–Shannon sampling theorem] [https://en.wikipedia.org/wiki/Aliasing Aliasing] [https://en.wikipedia.org/wiki/Anti-aliasing Anti-aliasing] [https://en.wikipedia.org/wiki/Spatial_anti-aliasing Spatial_anti-aliasing] [https://en.wikipedia.org/wiki/Moir%C3%A9_pattern Moiré_pattern]		* [https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem Nyquist–Shannon sampling theorem] [https://en.wikipedia.org/wiki/Aliasing Aliasing] [https://en.wikipedia.org/wiki/Anti-aliasing Anti-aliasing] [https://en.wikipedia.org/wiki/Spatial_anti-aliasing Spatial_anti-aliasing] [https://en.wikipedia.org/wiki/Moir%C3%A9_pattern Moiré_pattern]
	----		----
	* [https://en.wikipedia.org/wiki/Metrology Metrology]		* [https://en.wikipedia.org/wiki/Metrology Metrology]

Apm: /* Precision in the context of measurements with sensors */ drawing the line & precision on top of resolution

2017-08-11T15:35:52Z

Precision in the context of measurements with sensors: drawing the line & precision on top of resolution

← Older revision		Revision as of 17:35, 11 August 2017
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	'''Precision:'''<br>		'''Precision:'''<br>
	* The narrowness of the random distribution in the (nowadays digital and discrete) measurement readout. <br>Usually expressed in standard deviation, FWHM or similar.		* The narrowness (linguistic use) or wideness (math use) of the random distribution in the (nowadays digital and discrete) measurement readout. <br>Usually expressed in standard deviation, FWHM or similar.
	* Not(!) the possibly present random distribution in the "real" value.		* Not(!) the possibly present random distribution in the "real" value.<br> (Note the problem pf drawing the line betwene noise in the "real" value and noise in the measurement system!)
	* inverse of random measurement deviation		* inverse of random measurement deviation
	* The unit of precision (when used in the linguistic sense) is the inverse of the measurement quantity <br>("more precise" <=> higher value of inverse standard deviation)		* The unit of precision (when used in the linguistic sense) is the inverse of the measurement quantity <br>("more precise" <=> higher value of inverse standard deviation)

			Precision sits on top of resolution!

	'''Resolution:'''		'''Resolution:'''

Apm: /* External links */ added Wikipedia links regarding sampling & aliasing

2017-08-09T02:18:13Z

External links: added Wikipedia links regarding sampling & aliasing

← Older revision		Revision as of 04:18, 9 August 2017
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	* noise; standard deviation; bandwith		* noise; standard deviation; bandwith

			* [https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem Nyquist–Shannon sampling theorem] [https://en.wikipedia.org/wiki/Aliasing Aliasing] [https://en.wikipedia.org/wiki/Anti-aliasing Anti-aliasing] [https://en.wikipedia.org/wiki/Spatial_anti-aliasing Spatial_anti-aliasing] [https://en.wikipedia.org/wiki/Moir%C3%A9_pattern Moiré_pattern]
	----		----
	* [https://en.wikipedia.org/wiki/Metrology Metrology]		* [https://en.wikipedia.org/wiki/Metrology Metrology]

Apm: /* Precision in the context of measurements with sensors */

2017-08-08T19:24:59Z

Precision in the context of measurements with sensors

← Older revision		Revision as of 21:24, 8 August 2017
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	Precision (of single measurements**) can never exceed (be finer than) resolution.		Precision (of single measurements**) can never exceed (be finer than) resolution.

	'''Accuracy:'''		'''Accuracy:''' (trueness)
	* how near the expectation value comes to a reference value ("true" value) - (a qualitative term?)		* how near the expectation value comes to a reference value ("true" value) - (a qualitative term?)
	* inverse of the systematic measurement deviation		* inverse of the systematic measurement deviation

Apm: /* Precision in the context of measurements with sensors */ added sys&rand measurement deviation & stuff about accuracy

2017-08-08T19:08:54Z

Precision in the context of measurements with sensors: added sys&rand measurement deviation & stuff about accuracy

← Older revision		Revision as of 21:08, 8 August 2017
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	* The narrowness of the random distribution in the (nowadays digital and discrete) measurement readout. <br>Usually expressed in standard deviation, FWHM or similar.		* The narrowness of the random distribution in the (nowadays digital and discrete) measurement readout. <br>Usually expressed in standard deviation, FWHM or similar.
	* Not(!) the possibly present random distribution in the "real" value.		* Not(!) the possibly present random distribution in the "real" value.
			* inverse of random measurement deviation
	* The unit of precision (when used in the linguistic sense) is the inverse of the measurement quantity <br>("more precise" <=> higher value of inverse standard deviation)		* The unit of precision (when used in the linguistic sense) is the inverse of the measurement quantity <br>("more precise" <=> higher value of inverse standard deviation)

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	* The unit of resolution is: readable steps per unit of measurement quantity		* The unit of resolution is: readable steps per unit of measurement quantity

	Precision (of single measurements) can never exceed (be finer than) resolution.		Precision (of single measurements**) can never exceed (be finer than) resolution.

	~~=== Lowering bandwith~~ to ~~increase resolution and precision ===~~		'''Accuracy:'''
			* how near the expectation value comes to a reference value ("true" value) - (a qualitative term?)
			* inverse of the systematic measurement deviation

	By taking many measurements and averaging them out precision can be improved.		If accuracy is low highly precise measurements are consistently wrong.<br>
			An error that can be potentially compensated.

			=== Lowering bandwidth to increase resolution and precision ===

			By taking many measurements and averaging them out precision can be improved**.
	Measuring this way takes more time so the maximum frequency of measurements (bandwidth) gets lower. This is why noise in measurement readouts falls/(rises) with falling/(rising) bandwidth.		Measuring this way takes more time so the maximum frequency of measurements (bandwidth) gets lower. This is why noise in measurement readouts falls/(rises) with falling/(rising) bandwidth.

Apm: /* Lowering bandwith to increase resolution and precision */ law -> fact

2017-08-08T18:49:27Z

Lowering bandwith to increase resolution and precision: law -> fact

← Older revision		Revision as of 20:49, 8 August 2017
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	In case of manual averaging over many sub measurements at some point		In case of manual averaging over many sub measurements at some point
	precision hits the resolution limit. Quite a bit before that happens one should start to store the averaged values with a higher resolution. While the new precision must still be higher than the new resolution (fundamental ~~law~~), the new higher precision (harbored in the new higher resolution) '''can''' exceed the old resolution.		precision hits the resolution limit. Quite a bit before that happens one should start to store the averaged values with a higher resolution. While the new precision must still be higher than the new resolution (fundamental fact), the new higher precision (harbored in the new higher resolution) '''can''' exceed the old resolution.

	'''The continuum:'''<br>		'''The continuum:'''<br>