Free Space Propagation Model

In any wireless communication system power received by receiver and the path loss are important parameters to be considered. There are several models to calculate these parameters, but the general and easiest one is the free space propagation model. This model is able to calculate power received and path loss for far field. The mathematics of this model is Friss’s free equation which is as follows:

P_t is transmitted power. P_r is received power. G_t is gain of transmitter. G_r is gain of receiver. λ is wavelength. d is distance between transmitter and receiver. Similarly the path loss is 

I have created a Matlab GUI that calculates power received and path loss using above two formulas. It also plots them in dBm amplitude with respect to distance in x-axis. It looks like as follows:

 

figure: GUI of free space model

It takes input parameters as: Tx power (P_t), frequency (f), transmitter gain (G_t), Receiver gain(G­_r) and distance(d). From calculation, it shows Rx power (P_r), path loss (PL) in dBm. It has graph scheme which plots graph of received power vs tx-rx distance and path loss vs tx-rx distance respectively.

Interested can download freespace.m and freespace.fig files, click here.

(Reference: Wireless Communication by Theodore S. Rappaport)