Circular polarization - Revision history

70.24.175.49: /* Uses of the two conventions */ Added the word "the" making the sentence..."is observed from the point of view of the receiver."

2014-12-02T16:23:18Z

Uses of the two conventions: Added the word "the" making the sentence..."is observed from the point of view of the receiver."

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137.205.238.226: /* Left/right handedness conventions {{Anchor|Left/Right}} */

2014-02-18T17:58:00Z

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en>Monkbot: /* In nature */Fix CS1 deprecated date parameter errors

2014-02-03T19:20:50Z

In nature: Fix CS1 deprecated date parameter errors

← Older revision		Revision as of 21:20, 3 February 2014
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	~~== Supra Shoes Auckland grapadoras ==~~		A '''closed-loop transfer function''' in [[control theory]] is a mathematical expression ([[algorithm]]) describing the net result of the effects of a closed ([[feedback]]) [[loop (telecommunication)\|loop]] on the input [[signal (information theory)\|signal]] to the circuits enclosed by the loop.

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			The closed-loop [[transfer function]] is measured at the [[output]]. The output signal [[waveform]] can be calculated from the closed-loop transfer function and the input signal waveform.
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			An example of a closed-loop transfer function is shown below:
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			The summing node and the ''G''(''s'') and ''H''(''s'') blocks can all be combined into one block, which would have the following transfer function:
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			: <math>\dfrac{Y(s)}{X(s)} = \dfrac{G(s)}{1 + G(s) H(s)}</math>
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			==Derivation==
	~~<li>~~[~~http~~:~~//ldsbee.com/index.php?page=item&id=2450433 http~~:~~//ldsbee.com/index.php?page=item&id=2450433~~]~~</li>~~		Let's define an intermediate signal Z shown as follows:

	~~</ul>~~		[[Image:Closed Loop Block Deriv.png]]

			Using this figure we can write

			: <math>Y(s) = Z(s)G(s) \Rightarrow Z(s) = \dfrac{Y(s)}{G(s)} </math>

			: <math>X(s)-Y(s)H(s) = Z(s) = \dfrac{Y(s)}{G(s)} \Rightarrow X(s) = Y(s) \left[{1+G(s)H(s)} \right]/G(s)</math>

			: <math>\Rightarrow \dfrac{Y(s)}{X(s)} = \dfrac{G(s)}{1 + G(s) H(s)}</math>

			==See also==
			*[[Federal Standard 1037C]]
			*[[Open-loop controller]]

			== References ==
			*{{FS1037C}}

			[[Category:Control theory]]
			[[Category:Cybernetics]]


			{{mathapplied-stub}}

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2012-08-23T20:49:04Z

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