I replaced the battery in my key fob transmitter 1 year ago. The voltage seems fine on key fobs (2.92v). Edit: I ordered new batteries in case those batteries are lower under actual load, or it needs 3v+.
I want to narrow the problem to either the key fob or the car. I've been told that most cars have a special dedicated battery for the receiver (in the car). But my owners manual makes no mention of that.
The answer for the 2005 Mazda-3 may work.
Edit:
Remote got weaker last year. Replaced battery. It got weaker again. But voltage seems fine. (And last battery was used and lasted 4 years).
A mechanic told me that, in general, the anti theft systems often have a separate battery (to prevent thieves from from disconnecting the battery). And the keyless entry uses that system. My owner's manual mentions A system to prevent the car from being started with the proper key. It does not mention a separate battery.
Test results I tested the voltage of both remotes after use: 2.92v and 2.95 via multimeter with no load (I don't have a resistor ). (Labelled as 3v batteries)
Main battery 12.1v with lights on, measured from outer edge of connector on battery.