How can I implement phased.freespace channel model outside matlab with moving target?

I would like to implement free space model in phased array toolbox outside matlab in order to do implementation in real time systems? There is an example in MATLAB to demonstrate moving targets. Lets say in this example how can I implement channel without matlab toolbox but with basic math operations.

Propagate Signal from Stationary Radar to Moving Target

https://www.mathworks.com/help/phased/ug/free-space-path-loss.html

Kind regards,

Oytun GUNES

Answer 1

[Abhishek Chakram]

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

1. 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.
2. Frequency: Determine the frequency “f” of the radar signal. This is usually a fixed value based on the radar system design.
3. 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.
4. 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

Answer 2

[George]

In addition to implementing this yourself, you could consider generating C/C++ code to deploy onto a real time system. All of the objects in Phased Array System Toolbox, including the Free Space model, can be used to generate C/C++ code:

Code Generation - MATLAB & Simulink (mathworks.com)