FIRJEW - Revision history

GabrielaV: /* Finite Impulse Response Filters */

2005-12-13T09:24:52Z

Finite Impulse Response Filters

← Older revision		Revision as of 02:24, 13 December 2005
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	[[Image:Frequency_Response_Pict.png]]		[[Image:Frequency_Response_Pict.png]]





	==Related Pages==		==Related Pages==

2005-12-06T22:52:31Z

Finite Impulse Response Filters

← Older revision	Revision as of 15:52, 6 December 2005
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		==Related Pages==
		[[AdaptiveFIRJEW \| Adaptive FIR Filters]]

2005-12-06T21:57:58Z

Finite Impulse Response Filters

← Older revision		Revision as of 14:57, 6 December 2005
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	Image of the frequency response plot taken from the FIR example page [[FIR_Filter_Example\|here]].		Image of the frequency response plot taken from the FIR example page [[FIR_Filter_Example\|here]].
			</small>

2005-12-06T21:54:47Z

Finite Impulse Response Filters

← Older revision		Revision as of 14:54, 6 December 2005
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	<math>\sum_{m=-M}^M h(mT) e^{- j 2 \pi f m T} = \sum_{m=-M}^M \frac{ sin \left ( \frac{\pi m}{2} \right) }{\pi m} e^{- j 2 \pi f m T} </math>		<math>\sum_{m=-M}^M h(mT) e^{- j 2 \pi f m T} = \sum_{m=-M}^M \frac{ sin \left ( \frac{\pi m}{2} \right) }{\pi m} e^{- j 2 \pi f m T} </math>



			The frequency response plot of this particular FIR filter would look like this:

			[[Image:Frequency_Response_Pict.png]]


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	<small>Principle author: Jeffrey Wonoprabowo~~</small>~~		<small>Principle author: Jeffrey Wonoprabowo

			Image of the frequency response plot taken from the FIR example page [[FIR_Filter_Example\|here]].

2005-12-06T21:48:23Z

Finite Impulse Response Filters

← Older revision		Revision as of 14:48, 6 December 2005
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	<math> = \frac{e^{j 2 \pi \frac{1}{4T} m T} - e^{j 2 \pi \frac{-1}{4T} m T}}{j 2 \pi m} = \left ( \frac{1}{2} \right) \frac{sin \left ( \frac{\pi m}{2} \right)} {\left(\frac{\pi m}{2}\right)}</math>		<math> = \frac{e^{j 2 \pi \frac{1}{4T} m T} - e^{j 2 \pi \frac{-1}{4T} m T}}{j 2 \pi m} = \left ( \frac{1}{2} \right) \frac{sin \left ( \frac{\pi m}{2} \right)} {\left(\frac{\pi m}{2}\right)}</math>

			and the actual frequency response would then be:

			<math>\sum_{m=-M}^M h(mT) e^{- j 2 \pi f m T} = \sum_{m=-M}^M \frac{ sin \left ( \frac{\pi m}{2} \right) }{\pi m} e^{- j 2 \pi f m T} </math>

2005-12-06T21:41:59Z

Finite Impulse Response Filters

@@ Line 1: / Line 1: @@
 ==Finite Impulse Response Filters==
-A Finite Impurse Response filter (aka FIR filter) is a type of filter often used in digital signal processing and has no feedback loop.
+A Finite Impurse Response filter (aka FIR filter) is a type of filter often used in digital signal processing and has no feedback loop. Because there is no feedback, the response of an FIR filter to an impulse is finite.
 <small>Principle author: Jeffrey Wonoprabowo</small>

2005-12-06T21:01:54Z

Finite Impulse Response Filters

← Older revision		Revision as of 14:01, 6 December 2005
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	==Finite Impulse Response Filters==		==Finite Impulse Response Filters==
	A Finite Impurse Response filter (aka FIR filter) is a type of filter often used in digital signal processing and has no feedback ~~looop~~.		A Finite Impurse Response filter (aka FIR filter) is a type of filter often used in digital signal processing and has no feedback loop.


	<small>Principle author: Jeffrey Wonoprabowo</small>		<small>Principle author: Jeffrey Wonoprabowo</small>

2005-12-06T20:55:08Z

Finite Impulse Response Filters

← Older revision		Revision as of 13:55, 6 December 2005
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	==Finite Impulse Response Filters==		==Finite Impulse Response Filters==
			A Finite Impurse Response filter (aka FIR filter) is a type of filter often used in digital signal processing and has no feedback looop.


	<small>Principle author: Jeffrey Wonoprabowo</small>		<small>Principle author: Jeffrey Wonoprabowo</small>

2005-12-05T03:58:13Z

Finite Impulse Response

← Older revision		Revision as of 20:58, 4 December 2005
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	==Finite Impulse Response==		==Finite Impulse Response Filters==

	<small>Principle author: Jeffrey Wonoprabowo</small>		<small>Principle author: Jeffrey Wonoprabowo</small>

2005-11-15T06:13:53Z

← Older revision		Revision as of 23:13, 14 November 2005
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			==Finite Impulse Response==

	<small>Principle author: Jeffrey Wonoprabowo</small>		<small>Principle author: Jeffrey Wonoprabowo</small>