Final value theorem - Revision history

131.180.29.4: /* Example where FVT does not hold */

2014-11-19T14:42:32Z

Example where FVT does not hold

← Older revision		Revision as of 16:42, 19 November 2014
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	~~Hello~~, ~~I'm Justin~~, ~~a 25 year old from Rotterdam~~, ~~Netherlands~~.<br>~~My hobbies include (but~~ are ~~not limited~~ to~~) Art collecting~~, ~~Antiquing~~ and ~~watching Grey~~'s ~~Anatomy~~.<br><br>~~my web page;~~ [http://~~www~~.~~cciebus~~.~~com/ccie~~-~~collaboration~~-~~lab~~-~~workbook~~.~~html CCIE workbook]~~		If you are looking for a specific plugin, then you can just search for the name of the plugin. Affilo - Theme is the guaranteed mixing of wordpress theme that Mark Ling use for his internet marketing career. PSD files are incompatible to browsers and are suppose to be converted into wordpress compatible files so that it opens up in browser. Out of the various designs of photography identified these days, sports photography is preferred most, probably for the enjoyment and enjoyment associated with it. By using this method one can see whether the theme has the potential to become popular or not and is their any scope of improvement in the theme. <br><br>

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en>AnomieBOT: Dating maintenance tags: {{Deadlink}}

2014-02-08T13:02:33Z

Dating maintenance tags: {{Deadlink}}

← Older revision		Revision as of 15:02, 8 February 2014
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	~~{{Multiple issues\|unreferenced =October 2008\|context =October 2009}}~~		Hello, I'm Justin, a 25 year old from Rotterdam, Netherlands.<br>My hobbies include (but are not limited to) Art collecting, Antiquing and watching Grey's Anatomy.<br><br>my web page; [http://www.cciebus.com/ccie-collaboration-lab-workbook.html CCIE workbook]

	~~'''Quadrature modulation''' is the general technique of modulating two carriers.~~

	~~Examples include [[Quadrature amplitude modulation]], [[Phase-shift keying]]~~, ~~and [[Minimum-shift keying]].~~

	~~[[Constellation diagram]]s are used to examine the modulation in the 2-D signal space.~~

	~~== Explanation ==~~
	~~Sending a signal by [[amplitude modulation]] consists of sending the function~~
	~~:<math>y(t) =~~ I~~(t) \cdot \cos(\omega_c t)</math>~~
	~~where <math>I(t)</math> is the signal to encode and <math>\cos(\omega_c t)</math> is the carrier wave~~, ~~<math>\omega_c</math> is the carrier frequency – one is changing the amplitude of~~ a ~~carrier wave to encode the signal~~, ~~hence amplitude modulation.~~

	~~In general one could also change the phase of the carrier wave, as in [[phase modulation]] – there is a dimension of phase that is not being used~~. ~~In fact, one can encode another signal that is 90° out of phase by using a sine wave, as in:~~
	:<~~math~~>z(~~t) = I(t) \cdot \cos(\omega_c t) - Q(t) \cdot \sin(\omega_c t)</math>~~
	~~this 90° (the angle of a rectangle, or a 1/4 turn~~) ~~is why it is called "quadrature" modulation~~, and ~~the symbols <math>I(t)</math> and <math>Q(t)</math> indicate the "in-phase" signal and "quadrature" signal.~~

	~~In terms of [[Euler~~'s ~~formula]],~~ <~~math~~>~~e^{it} = \cos t + i \sin t,~~<~~/math~~> amplitude modulation encodes a 1-dimensional ''real'' signal, while quadrature modulation encodes a 2-dimensional ''complex'' signal. This viewpoint, that a wave of a given frequency can encode 2 dimensions of data, is elaborated in [~~[Fourier analysis]], and is the principle that quadrature modulation exploits~~.

	~~=== Clocking ===~~
	~~The added channel capacity is not costless, however~~.

	~~An amplitude~~-~~modulated signal is [[self-clocking signal\|self~~-~~clocking]] – it has zero~~-~~crossings at a regular frequency as a [[clock pulse]]~~. A quadrature-modulated signal, by contrast, has no such pulse, and thus sender and receiver must share a clock or otherwise send a clock signal – if the clocks drift by phase φ, which corresponds to rotation by φ in the <math>(I,Q)</math> plane, then the ''I'' and ''Q'' signal bleed into each other, yielding [[crosstalk]].
	~~In this context, the clock signal is called a "phase reference" – in [[NTSC]], which uses [[quadrature amplitude modulation]], this is conveyed by the [[color burst]], a synchronization signal.~~

	~~By contrast, in polar modulation, clock drift simply degrades the phase-modulated signal.~~

	~~== Polar modulation ==~~
	~~{{Main\|Polar modulation}}~~

	Quadrature modulates two signals by changing the in-phase and quadrature phase components, corresponding to [[Cartesian coordinates]]. By contrast, one can instead consider this to be changing the amplitude and phase of a wave, which corresponds to [[polar coordinates]]. The corresponding modulation is called [[polar modulation]], and was developed earlier, in the 1874 [[quadruplex telegraph]] by [[Thomas Edison]].

	~~== See also ==~~
	* [[Matrix decoder]]
	* [[Polar modulation]]

	~~{{DEFAULTSORT:Quadrature Modulation}}~~
	~~[[Category:Radio modulation modes]]~~


	~~{{telecomm-stub}}~~

67.10.75.196: /* Example where FVT holds */

2013-11-12T20:57:21Z

Example where FVT holds

← Older revision		Revision as of 22:57, 12 November 2013
Line 1:		Line 1:
	~~Her name is Cheryle Kratz. One of her favorite hobbies is badminton and now she is attempting to building an income with it. I've always loved while it [https://Www.Gov.uk/search?q~~=Alaska+terrifying Alaska terrifying] have all of that I need here. Since she was 18 she's been working for a credit authoriser. Go to my website to find out more: http://www.cupcakesbarcelona.com/es/botas-ugg-baratas-bogota.html<br><br>		{{Multiple issues\|unreferenced =October 2008\|context =October 2009}}

	~~Here~~ is ~~my web blog:~~ [~~http~~://~~www~~.~~cupcakesbarcelona~~.~~com~~/es/~~botas~~-~~ugg~~-~~baratas~~-~~bogota~~.~~html botas ugg baratas madrid~~]		'''Quadrature modulation''' is the general technique of modulating two carriers.

			Examples include [[Quadrature amplitude modulation]], [[Phase-shift keying]], and [[Minimum-shift keying]].

			[[Constellation diagram]]s are used to examine the modulation in the 2-D signal space.

			== Explanation ==
			Sending a signal by [[amplitude modulation]] consists of sending the function
			:<math>y(t) = I(t) \cdot \cos(\omega_c t)</math>
			where <math>I(t)</math> is the signal to encode and <math>\cos(\omega_c t)</math> is the carrier wave, <math>\omega_c</math> is the carrier frequency – one is changing the amplitude of a carrier wave to encode the signal, hence amplitude modulation.

			In general one could also change the phase of the carrier wave, as in [[phase modulation]] – there is a dimension of phase that is not being used. In fact, one can encode another signal that is 90° out of phase by using a sine wave, as in:
			:<math>z(t) = I(t) \cdot \cos(\omega_c t) - Q(t) \cdot \sin(\omega_c t)</math>
			this 90° (the angle of a rectangle, or a 1/4 turn) is why it is called "quadrature" modulation, and the symbols <math>I(t)</math> and <math>Q(t)</math> indicate the "in-phase" signal and "quadrature" signal.

			In terms of [[Euler's formula]], <math>e^{it} = \cos t + i \sin t,</math> amplitude modulation encodes a 1-dimensional ''real'' signal, while quadrature modulation encodes a 2-dimensional ''complex'' signal. This viewpoint, that a wave of a given frequency can encode 2 dimensions of data, is elaborated in [[Fourier analysis]], and is the principle that quadrature modulation exploits.

			=== Clocking ===
			The added channel capacity is not costless, however.

			An amplitude-modulated signal is [[self-clocking signal\|self-clocking]] – it has zero-crossings at a regular frequency as a [[clock pulse]]. A quadrature-modulated signal, by contrast, has no such pulse, and thus sender and receiver must share a clock or otherwise send a clock signal – if the clocks drift by phase φ, which corresponds to rotation by φ in the <math>(I,Q)</math> plane, then the ''I'' and ''Q'' signal bleed into each other, yielding [[crosstalk]].
			In this context, the clock signal is called a "phase reference" – in [[NTSC]], which uses [[quadrature amplitude modulation]], this is conveyed by the [[color burst]], a synchronization signal.

			By contrast, in polar modulation, clock drift simply degrades the phase-modulated signal.

			== Polar modulation ==
			{{Main\|Polar modulation}}

			Quadrature modulates two signals by changing the in-phase and quadrature phase components, corresponding to [[Cartesian coordinates]]. By contrast, one can instead consider this to be changing the amplitude and phase of a wave, which corresponds to [[polar coordinates]]. The corresponding modulation is called [[polar modulation]], and was developed earlier, in the 1874 [[quadruplex telegraph]] by [[Thomas Edison]].

			== See also ==
			* [[Matrix decoder]]
			* [[Polar modulation]]

			{{DEFAULTSORT:Quadrature Modulation}}
			[[Category:Radio modulation modes]]


			{{telecomm-stub}}

en>Qetuth: more specific stub type

2011-12-18T12:26:34Z

more specific stub type

New page

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