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#1
Posted to sci.electronics.design,alt.binaries.schematics.electronic,sci.electronics.basics
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Partial-Fraction Expansion?
Someone please refresh my memory...
Isn't there some easy way to do a "partial-fraction expansion" of a transfer function in "S" (Heaviside version of Laplace) and generate an L-R-C ladder network? ...Jim Thompson -- | James E.Thompson | mens | | Analog Innovations | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | San Tan Valley, AZ 85142 Skype: skypeanalog | | | Voice480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at http://www.analog-innovations.com | 1962 | I love to cook with wine. Sometimes I even put it in the food. |
#2
Posted to sci.electronics.design,alt.binaries.schematics.electronic,sci.electronics.basics
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Partial-Fraction Expansion?
Jim Thompson
Wrote in message: Someone please refresh my memory... Isn't there some easy way to do a "partial-fraction expansion" of a transfer function in "S" (Heaviside version of Laplace) and generate an L-R-C ladder network? ...Jim Thompson -- | James E.Thompson | mens | | Analog Innovations | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | San Tan Valley, AZ 85142 Skype: skypeanalog | | | Voice480)460-2350 Fax: Available upon request | Brass Rat | | E-mail Icon at http://www.analog-innovations.com | 1962 | I love to cook with wine. Sometimes I even put it in the food. I don't know that there's any easy way to do it by hand, no. That's why for the "standard" filter types, someone went to the trouble of computing "normalized" filter tables for ladder networks. With something like SciPy or Matlab, if you have a candidate filter topology and the transfer function of your filter it should be possible to write a program that can find the transfer function of the network and solve for the component values -- ----Android NewsGroup Reader---- http://usenet.sinaapp.com/ |
#3
Posted to sci.electronics.design,alt.binaries.schematics.electronic,sci.electronics.basics
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Partial-Fraction Expansion?
On 01/27/2015 07:15 PM, bitrex wrote:
Jim Thompson Wrote in message: Someone please refresh my memory... Isn't there some easy way to do a "partial-fraction expansion" of a transfer function in "S" (Heaviside version of Laplace) and generate an L-R-C ladder network? I don't know that there's any easy way to do it by hand, no. That's why for the "standard" filter types, someone went to the trouble of computing "normalized" filter tables for ladder networks. With something like SciPy or Matlab, if you have a candidate filter topology and the transfer function of your filter it should be possible to write a program that can find the transfer function of the network and solve for the component values A partial-fraction expansion will give you a sum of quadratic terms, each of which will look like a parallel LRC section. That leads directly to a realization: buffer the tank voltage and sum the results. Getting the ladder realization is tougher, as others have noted. Cheers Phil Hobbs -- Dr Philip C D Hobbs Principal Consultant ElectroOptical Innovations LLC Optics, Electro-optics, Photonics, Analog Electronics 160 North State Road #203 Briarcliff Manor NY 10510 hobbs at electrooptical dot net http://electrooptical.net |
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