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Kirt Blattenberger - RF Cafe Webmaster

Copyright: 1996 - 2024
Webmaster:
    Kirt Blattenberger,

    BSEE - KB3UON

RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling 2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas and reference material while performing my work as an RF system and circuit design engineer. The World Wide Web (Internet) was largely an unknown entity at the time and bandwidth was a scarce commodity. Dial-up modems blazed along at 14.4 kbps while typing up your telephone line, and a nice lady's voice announced "You've Got Mail" when a new message arrived...

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Cascaded Gain (G)

Linear gain in a chain of cascaded components is by far the easiest parameter to calculate. Because its value is a first-order entity with no dependence on any other parameter of a particular component (assuming no signal feedback or leakage), combining gain two successive stages is the simple addition of each stage's gain if expressed in units of dB, or multiplication if expressed as a unitless ratio.

Cascading Gain Values in a Chain of Components

Example cascaded system - RF Cafe
Click here to view an example of a cascaded system.

For example, if a 1st and 2nd stage in a cascade have power (as opposed to voltage) gains of 3.01 dB (multiplication factor of 2) and 10.0 dB (multiplication factor of 10), respectively, then the total gain is:

   3.01 + 10.0 = 13.01 dB,

or a multiplication factor of:

   2 x 10 = 20 [check: 10 * log10 (20) = 13.01 dB].

It's that simple!

Cascaded components for calculating Gain - RF Cafe

A Typical Chain of Cascaded Components

 

Cascading receiver transmitter stages two at a time - RF Cafe

Combining 2 Stages at a Time for Calculations

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