PIR RF Arduino simplest circuit

Hi all.

I have a PIR sensor, an RF transmitter, an RF receiver, and one Arduino.
My expectation is that each time PIR detects motion, it sends a signal (a string contains some information used to identify which PIR has sent that signal) through the RF transmitter and the Arduino will get the signal through the RF receiver.

I do not want to use PIR, RF transmitter in accompanied by another Arduino because I want to minimize the cost of the product as much as possible. Nevertheless, the problem is not so complicated that it requires another Arduino to do this simple task.

Can we use only one PIR sensor, one RF transmitter, one RF receiver, one Arduino to solve the problem?
If not, instead of using another Arduino, can we use another microcontroller(re-programmable) as a replacement for Arduino

Any help is appreciated.
Thanks in advance.

If you have :-

a string contains some information used to identify which PIR has sent that signal

Then you need an Arduino or some other processor to generate it.

Also that sentence implies you will have, or hope to have more than one transmitter, then you will need some sort of arbitration to stop two transmitters sending at the same time.

Some RF modules like ZigBee's have enough intelligence to do this sort of thing. A dumb RF transceiver that needs to be configured using SPI or suchlike always needs a separate microcontroller. Others may be able to provide a good list of possible transmitter/transceiver modules.