A snag with the BG51 datasheet is that it doesn't state the output levels. It only mentions TTL level output in one [marketing sounding] sentence: "The integrated pulse discriminator with a temperature compensated threshold level provides true TTL signal output." Is it 3.3V logic or 5V logic? Measure the output level with an oscilloscope.

Or contact the manufacturer and ask. If the manufacturer tells you the model of the chip (might be a comparator) which provides the output, and the supply voltages of this chip, then you’ll know all there’s to know about the logic output levels.

True TTL levels could be as low as 2.0 V minimum guaranteed high output. Check the microcontroller datasheet carefully to see if that's good enough.

The datasheet says "Output pulse level Equal to supply voltage (positive going) " and "Supply voltage range, VCC 2.5V to 15.0V ".I am planning to power with 3.3V supply.My Microcontroller(CC1352P) is working at 3.3V.