Search:                        
Please support my efforts by ADVERTISING!
Serving a Pleasing Blend of Yesterday, Today, and Tomorrow™

Vintage Magazines

Electronics World
Popular Electronics
Radio & TV News
QST | Pop Science
Popular Mechanics
Radio-Craft
Radio-Electronics
Short Wave Craft
Electronics | OFA
Saturday Eve Post
Electronics Illustrated

Formulas | Data

Electronics | RF
Mathematics
Mechanics
Physics


Calvin & Phineas

Archive | Sitemap
kmblatt83@aol.com

Resources

Radar | AI
Cogitations
RF Museum
Videos | Pics |
Things | Logos
Radio Datashts
WJ Tech Notes
Day in History

Entertainment

Crosswords
Humor | Podcasts
Quotes | Quizzes
Tech Comics

Parts | Services

1000s of Listings


About RF Cafe

Software: RF Cascade Workbook | RF Symbols for Office | RF Symbols & Stencils for Visio | Espresso Workbook
ConductRF Precision RF Test Cables MAESTRO - RF Cafe Website

VSWR Mismatch Errors

VSWR Mismatch Errors - RF Cafe WebsiteBoth amplitude and phase errors are introduced when mismatched impedances are present at an electrical interface. When an ideal match is not encountered by the incident (forward) wave, part of it is coupled to the load and part is reflected back to the source. Upon arriving back at the source, part of the reflected wave is coupled back to the source and the rest is reflected back again to the load. The process iterates until the amplitude of the wave is attenuated to an insignificant level due to the loss of the interface (cable, connector, waveguide, etc.). Each time a reverse and forward reflection occurs, the amplitude and phase of all the signal components traversing the path between the source and the load add vectorially. The result is ripple across the frequency band (since the VSWR of each interface typically varies with frequency), as well as a portion of the incident power being reflected back to the source. What begins as a pure sinewave can look like a real mess when viewed on an oscilloscope.

 

Amplitude Error

εA = +20 * log (1 + |ΓA * ΓB|)  [dB]

        -20 * log (1 - |ΓA * ΓB|)  [dB]

Phase Error

εΦ = ±(180 / π) *| ΓA| * |ΓB|  [°]

Note: This formula has also been seen

            written as

εΦ= ±(180 / π) * sin-1 (|ΓA| * |ΓB|)  [°]

  but for small angles, the difference

  is negligible.

See a derivation of this equation as provided by Haris Tabakovic

Resultant MIN and MAX

Cascaded VSWR

VSWRMAX = SA * SB

VSWRMIN = SA / SB

 

where

SA = larger of the two VSWRs

SB = smaller of the two VSWRs


Example

VSWRA = 2.5:1  -->  SA = 2.5

VSWRB = 2.0:1  -->  SB = 2.0

VSWRMAX = 2.5 * 2.0 = 5.0  = 5.0:1

VSWRMIN = 2.5 / 2.0 = 1.25  = 1.25:1

RF Cascade Workbook - RF Cafe Website
Please Support My Advertisers!
Transcat | Axiom Test Equipment - RF Cafe Website
Aegis Power | Centric RF | RFCT
Empower RF | Reactel | SF Circuits

Alliance Test | Isotec
everythingRF RF Engineering Resources Database - RF Cafe Website

dB Control dB-9006 Magnum Opus Synthesizer - RF Cafe Website

Transcat | Axiom Rental Equipment - RF Cafe Website
Maury Microwave / Boonton SGX1000 Signal Generator - RF Cafe Website

Anatech Electronics RF & Microwave Filters - RF Cafe Website

Temwell RF Filters for Radar - RF Cafe Website

Please Support RF Cafe by purchasing my ridiculously low-priced products, all of which I created.

RF Cascade Workbook for Excel

RF & Electronics Symbols for Visio

RF & Electronics Symbols for Office

RF & Electronics Stencils for Visio

RF Workbench

These Are Available for Free

Espresso Engineering Workbook™

Smith Chart™ for Excel