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en>Rjwilmsi: /* As topological group */Added 1 doi to a journal cite using AWB (10195)

2014-05-21T15:19:50Z

As topological group: Added 1 doi to a journal cite using AWB (10195)

← Older revision		Revision as of 17:19, 21 May 2014
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	~~A '''state variable filter''' is a type of [[active filter]]. It consists of one or more [[integrator]]s~~, ~~connected in some feedback configuration~~. ~~Any [[LTI system]] can be described~~ as a ~~[[State space (controls)\|state-space model]], with n state variables for an nth-order system~~. ~~A state variable filter realizes the state-space model directly. The instantaneous output voltage of one of the integrators corresponds~~ to ~~one of the state-space model's state variables.~~		Hi there, I am Sophia. He works as a bookkeeper. Her family members life in Ohio but her husband desires them to transfer. She is really fond of caving but she doesn't have the time lately.<br><br>Feel free to visit my web site: free psychic reading [[http://ustanford.com/index.php?do=/profile-38218/info/ this ustanford.com]]

	~~== Kerwin-Huelsman-Newcomb (KHN) Biquad Filter Example ==~~

	The example given below can produce simultaneous [[lowpass]], [[highpass]] and [[bandpass]] outputs from a single input. This is a second-order ([[biquad filter\|biquad]]) filter. Its derivation comes from rearranging a high-pass filter's transfer ~~function, which is the ratio of two quadratic functions~~. ~~The rearrangement reveals that one signal~~ is ~~the sum~~ of ~~integrated copies of another. That is,~~ the ~~rearrangement reveals a state variable filter structure. By using different states as outputs, different kinds of filters can be produced~~. ~~In more general state variable filter examples, additional filter order is possible with more integrators (i.e., more states).~~

	~~[[Image:State-variable-filter.png]]~~

	~~The signal input is marked Vin; the LP, HP and BP outputs give the lowpass, highpass and bandpass filtered signals respectively.~~

	~~For simplicity, we set:~~

	~~<math>R_{f1} = R_{f2}~~<~~/math~~>

	<~~math~~>~~C_1 = C_2</math>~~

	~~<math>R_1=R_2</math>~~

	~~Then:~~

	~~<math>F_0 = \frac{1}{2\pi R_{f1}C_1}</math>~~

	~~<math>Q = \left(1 + \frac{R_4}{R_q}\right)\left(\frac{1}{2+\frac{R_1}{R_g}}\right)</math>~~

	~~The pass-band gain for the LP and HP outputs is given by~~:

	~~<math>A_{HP} = A_{LP} = \frac{R_1}{R_G}</math>~~

	~~It can be seen that the frequency of operation and the~~ [~~[Q factor]] can be varied independently. This and the ability to switch between different filter responses make the state-variable filter widely used in analogue [[synthesizers]].~~

	~~Values for a resonance frequency of 1 kHz are Rf1=Rf2=10k, C1=C2=15nF and R1=R2=10k~~

	~~==See also==~~
	* [[Linear filter]]
	* [[Biquad filter]]

	~~==References==~~
	* Texas Instruments' [http://~~focus.ti~~.com/~~lit/ds/symlink/uaf42~~.~~pdf UAF42 Universal Active Filter] datasheet~~

	* Analog Devices [http://www.analog.com/en/design-tools/dt-adisim-design-sim-tool/design-center/~~dt-adisim-design-sim~~-~~tool~~/~~Filter_Wizard~~/~~resources/fca~~.~~html Interactive Design Tools]~~

	~~[[Category:Linear filters~~]]

140.206.255.225: /* Center */ added text from article

2013-05-09T04:55:37Z

Center: added text from article

← Older revision		Revision as of 06:55, 9 May 2013
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	~~Golda~~ is ~~what~~'s ~~written on my birth certification although it~~ is ~~not~~ the ~~name on my birth certification~~. ~~Playing badminton~~ is a ~~thing that he~~ is ~~totally addicted to~~. ~~Ohio is where his home~~ is and ~~his family enjoys it~~. ~~My day job~~ is ~~an info officer but I've already utilized for an additional 1.~~<br><br>~~Also visit my web~~-~~site real psychic readings (~~[http://~~www~~.~~partysonearth~~.com/~~index~~.~~php?do=/profile-68766~~/~~info~~/ www.~~partysonearth~~.com])		A '''state variable filter''' is a type of [[active filter]]. It consists of one or more [[integrator]]s, connected in some feedback configuration. Any [[LTI system]] can be described as a [[State space (controls)\|state-space model]], with n state variables for an nth-order system. A state variable filter realizes the state-space model directly. The instantaneous output voltage of one of the integrators corresponds to one of the state-space model's state variables.

			== Kerwin-Huelsman-Newcomb (KHN) Biquad Filter Example ==

			The example given below can produce simultaneous [[lowpass]], [[highpass]] and [[bandpass]] outputs from a single input. This is a second-order ([[biquad filter\|biquad]]) filter. Its derivation comes from rearranging a high-pass filter's transfer function, which is the ratio of two quadratic functions. The rearrangement reveals that one signal is the sum of integrated copies of another. That is, the rearrangement reveals a state variable filter structure. By using different states as outputs, different kinds of filters can be produced. In more general state variable filter examples, additional filter order is possible with more integrators (i.e., more states).

			[[Image:State-variable-filter.png]]

			The signal input is marked Vin; the LP, HP and BP outputs give the lowpass, highpass and bandpass filtered signals respectively.

			For simplicity, we set:

			<math>R_{f1} = R_{f2}</math>

			<math>C_1 = C_2</math>

			<math>R_1=R_2</math>

			Then:

			<math>F_0 = \frac{1}{2\pi R_{f1}C_1}</math>

			<math>Q = \left(1 + \frac{R_4}{R_q}\right)\left(\frac{1}{2+\frac{R_1}{R_g}}\right)</math>

			The pass-band gain for the LP and HP outputs is given by:

			<math>A_{HP} = A_{LP} = \frac{R_1}{R_G}</math>

			It can be seen that the frequency of operation and the [[Q factor]] can be varied independently. This and the ability to switch between different filter responses make the state-variable filter widely used in analogue [[synthesizers]].

			Values for a resonance frequency of 1 kHz are Rf1=Rf2=10k, C1=C2=15nF and R1=R2=10k

			==See also==
			* [[Linear filter]]
			* [[Biquad filter]]

			==References==
			* Texas Instruments' [http://focus.ti.com/lit/ds/symlink/uaf42.pdf UAF42 Universal Active Filter] datasheet

			* Analog Devices [http://www.analog.com/en/design-tools/dt-adisim-design-sim-tool/design-center/dt-adisim-design-sim-tool/Filter_Wizard/resources/fca.html Interactive Design Tools]

			[[Category:Linear filters]]

Deltahedron: /* Name */ usenet postings are not reliable sources; rm attribution to named person per BLP

2012-07-31T20:23:50Z

Name: usenet postings are not reliable sources; rm attribution to named person per BLP

New page

Golda is what's written on my birth certification although it is not the name on my birth certification. Playing badminton is a thing that he is totally addicted to. Ohio is where his home is and his family enjoys it. My day job is an info officer but I've already utilized for an additional 1.<br><br>Also visit my web-site real psychic readings ([http://www.partysonearth.com/index.php?do=/profile-68766/info/ www.partysonearth.com])