Hi OYTUN GUNES,
Implementing a free space model for a phased array system using basic math operations can be done by understanding the underlying principles and performing the necessary calculations.
The free-space path loss (FSPL) formula in decibels (dB) is given by:
FSPL (dB) = 20log(d)+ 20log(f)+ 20log(4π/c)
where:
- “d” is the distance between the radar and the target (in meters),
- “f” is the frequency of the transmitted signal (in Hz),
- “c” is the speed of light (in m/s).
Steps to Implement in a Real-Time System
- Distance Calculation: Calculate the distance “d” between the radar and the target. If the target is moving, this distance will change over time, so you will need to update it continuously based on the target speed and direction.
- Frequency: Determine the frequency “f” of the radar signal. This is usually a fixed value based on the radar system design.
- Compute Path Loss: Use the FSPL formula to calculate the path loss in dB. This will tell you how much the signal has attenuated during its trip to the target and back.
- Signal Attenuation: Apply the calculated path loss to the transmitted signal power to estimate the received signal power. If you have the transmitted power “Pt” in dBm, the received power “Pr” can be calculated as: Pr = Pt - FSPL
Best Regards,
Abhishek Chakram
