Matched Z-transform method: Difference between revisions

Revision as of 06:13, 10 February 2011

Revision as of 06:23, 10 February 2011

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{{Orphan|date=February 2011}}

The '''matched Z-transform method''', also called the '''pole–zero mapping''' or '''pole–zero matching method''', is a technique for converting a [[continuous-time]] filter design to a [[discrete-time]] filter ([[digital filter]]) design. <ref>

{{cite book

| title = Signals and Systems with MATLAB

| author = Won Young Yang

| publisher = Springer

| year = 2009

| isbn = 9783540929536

| page = 292

* | url = [http://books.google.com/books?id=GnfpELDfzmEC&pg=PA292 Tieing several names to same method]

}}</ref><ref>

{{cite book

| title = Space vehicle dynamics and control

| author = Bong Wie

| publisher = AIAA

| year = 1998

| isbn = 9781563472619

| page = 151

* | url = [http://books.google.com/books?id=n97tEQvNyVgC&pg=PA151 Pole–zero mapping source]

}}</ref> or '''pole–zero matching method''',<ref>

{{cite book

| title = Design and analysis of control systems

| author = Arthur G. O. Mutambara

| publisher = CRC Press

| year = 1999

| isbn = 9780849318986

| page = 652

* | url = [http://books.google.com/books?id=VSlHxALK6OoC&pg=PA652 Pole–zero matching source]

}}</ref> is a technique for converting a [[continuous-time]] filter design to a [[discrete-time]] filter ([[digital filter]]) design.

The method works by mapping all poles and zeros of the [[Laplace transform|s-plane]] design to [[Z-transform|z-plane]] locations ''z'' = exp(''sT''), for a sample interval ''T''. <ref>

{{cite book

| title = Signal processing: principles and implementation

| author = S. V. Narasimhan and S. Veena

| publisher = Alpha Science Int'l Ltd.

| year = 2005

| isbn = 9781842651995

| page = 260

* | url = [http://books.google.com/books?id=8UbV8vq8uV0C&pg=PA260 Matched Z-transform source]

}}</ref>

Alternative methods include the [[bilinear transform]] and [[impulse invariance]] methods.

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==References==

{{reflist}}

* [http://books.google.com/books?id=8UbV8vq8uV0C&pg=PA260 Matched Z-transform source]

* [http://books.google.com/books?id=n97tEQvNyVgC&pg=PA151 Pole–zero mapping source]

* [http://books.google.com/books?id=VSlHxALK6OoC&pg=PA652 Pole–zero matching source]

* [http://books.google.com/books?id=GnfpELDfzmEC&pg=PA292 Tieing several names to same method]

{{Signal-processing-stub}}