So recor and look at your car door signal. See how long the pulse train is for one click. Lets call that time N samples. Have a running sum of the last N samples' absolute value. When you see that sum peak above some threshold, switch to TX and play back those N samples plus some on either end for good measure. Newer cars with UWB wont work like this. They do an exchange and measure distance.
Ah, that is slightly harder. You have to hear the car's challenge and then have a decent antenna pointed at the fob, repeat the challenge, then quickly switch to rx to hear the response, them replay the response. Even with the antenna pointed at the fob you should be loud enough for the car because it is close.
You can even start the car this way. The car will keep running even out of range of the fob for safety reasons.
PSA: Don't rob from or steal cars. That is wrong. Don't be a bad guy. They might have worked hard for what they have and be really nice people.
Are there any places selling amplifiers? It seems to be a closely guarded secret (because unlicensed operators must be protected from themselves, I guess). I found some but they wouldn't have been suitable for any testing I wanted to do with the LimeSDR I have.
