Custom Search
Over 10000 Pages Indexed
Your Host
Click here to read about RF CafeKirt
Blattenberger

... single-
handedly
redefining
what an
engineering website
should be.

View the YouTube RF Cafe Intro Video Carpe Diem!
(Seize the Day!)

5CCG (5th MOB):
My USAF radar shop

Hobby & Fun

Airplanes and Rockets:
My personal hobby website

Equine Kingdom:
My daughter Sally's horse
riding business website -
lots of info

•−•  ••−•    −•−•  •−  ••−•  •
RF Cafe Morse Code >Hear It<

Job Board

About RF Cafe©

RF Cafe E-Mail

Kuroda's Identities (Transforms)

Kuroda Identities (aka Kuroda Transforms) are used to convert a section of transmission line with an open parallel stub into an electrically equivalent section of transmission line with a shorted series stub. As a result, an identical S-parameter matrix is produced that performs the same function. The technique is handy when designing distributed element circuits where one configuration is possible and the other is not. Filters are a good example, because in the physical layout open parallel stubs are difficult (or impossible) to realize whereas series shorted series stubs are.

I remember learning of the Kuroda Transform right after graduating and being assigned to do a set of four bandpass filters for an L-band switched filter. Those were the days of Touchstone on a Unix box where net list inputs were the norm rather than handy GUI interfaces. It was mesmerizing to watch the optimizer crank through successive iterations and draw increasingly perfect bandpass responses  - with the necessary group delay parameters - in an impressive array of colors (16-color CGA everyman's PC display of the era). But then I digress.

The Kuroda Identities shown here are custom reproductions of versions that can be found in hundreds of other sources.



For all four transforms, use  n2 = 1 + Z2/Z1, and the rectangular boxes are λ/8 transmission line sections with the indicated characteristic impedances.

Kuroda Identity (Transform) Parallel Capacitor Input - RF Cafe

Kuroda Identity (Transform) Parallel Capacitor Input



Kuroda Identity (Transform) Series Inductor Input - RF Cafe

Kuroda Identity (Transform) Series Inductor Input



Kuroda Identity (Transform) Parallel Inductor Input - RF Cafe

Kuroda Identity (Transform) Parallel Inductor Input



Kuroda Identity (Transform) Series Capacitor Input - RF Cafe

Kuroda Identity (Transform) Series Capacitor Input


A Disruptive Web Presence

Custom Search
Over 10,000 pages indexed! (none duped or pirated)

Read About RF Cafe
Webmaster: Kirt Blattenberger
    KB3UON

RF Cafe Software

RF Cascade Workbook
RF Cascade Workbook is a very extensive system cascaded component Excel workbook that includes the standard Gain, NF, IP2, IP3, Psat calculations, input & output VSWR, noise BW, min/max tolerance, DC power cauculations, graphing of all RF parameters, and has a graphical block diagram tool. An extensive User's Guide is also included. - Only $35.
RF system analysis including
frequency conversion & filters

RF & EE Symbols Word
RF Stencils for Visio

Product & Service Directory
Personally Selected Manufacturers
RF Cafe T-Shirts & Mugs

RF Cafe Software

Calculator Workbook
RF Workbench
Smith Chart™ for Visio
Smith Chart™ for Excel