Engee documentation

fspl

Losses in the path of signal propagation in free space.

Library

EngeePhased

Syntax

Function call

  • L = gaspl(R,lambda) — returns the value of losses along the signal propagation path in free space in dB for a signal with a wavelength lambda, extending over a distance of R meters. Minimum value L is equal to zero, which indicates that there are no losses on the propagation path.

Arguments

Input arguments

# R — signal propagation distance, m

+ vector

Details

Signal propagation distance in meters, given as a real length vector .

Типы данных

Float32, Float64

# lambda — wavelength, m

+ vector

Details

The wavelength in meters, given as a real length vector . Wavelength is the propagation speed divided by the frequency of the signal.

Типы данных

Float32, Float64

Output arguments

# L — losses on the track, dB

+ the matrix

Details

Losses on the track in dB, returned as a non-negative matrix of size on . Value 0 means no losses on the track.

When the input argument is lambda is a scalar, the output argument is L has the same dimensions as the input argument R.

Examples

Calculation of losses on the signal propagation path in free space

Details

We calculate the losses along the signal propagation path in free space (in dB) of the radar signal with the frequency 10 GHz at a distance 10 km.

import EngeePhased.Functions: fspl

fc = 10.0e9
c = 299792458.0
lambda = c / fc
R = 10e3

L = fspl(R, lambda)
132.44778322188336

Additional information

Losses on the signal propagation path in free space

Details

Losses on the signal propagation path in free space, measured in dB, are

This formula assumes that the target is in the far zone of the transmitting element or antenna array. In the near zone, the loss formula on the signal propagation path in free space is invalid and may lead to less losses 0 dB, which is equivalent to signal amplification. For this reason, for range values losses are set equal 0 dB.

Literature

  1. Proakis, J. Digital Communications. New York: McGraw-Hill, 2001.