In telecommunication, the free-space path loss (FSPL) (also known as free-space loss, FSL) is the attenuation of radio energy between the feedpoints of two antennas that results from the combination of the receiving antenna's capture area plus the obstacle-free, line-of-sight (LoS) path through free space (usually air). The "Standard Definitions of Terms for Antennas", IEEE Std 145-1993, defines free-space loss as "The loss between two isotropic radiators in free space, expressed as a power ratio." It does not include any power loss in the antennas themselves due to imperfections such as resistance. Free-space loss increases with the square of distance between the antennas because the radio waves spread out by the inverse square law and decreases with the square of the wavelength of the radio waves. The FSPL is rarely used standalone, but rather as a part of the Friis transmission formula, which includes the gain of antennas. It is a factor that must be included in the power link budget of a radio communication system, to ensure that sufficient radio power reaches the receiver such that the transmitted signal is received intelligibly.
The free-space path loss (FSPL) formula derives from the Friis transmission formula. This states that in a radio system consisting of a transmitting antenna transmitting radio waves to a receiving antenna, the ratio of radio wave power received to the power transmitted is:
where
is the directivity of the transmitting antenna
is the directivity of the receiving antenna
is the signal wavelength
is the distance between the antennas
The distance between the antennas must be large enough that the antennas are in the far field of each other .
The free-space path loss is the loss factor in this equation that is due to distance and wavelength, or in other words, the ratio of power transmitted to power received assuming the antennas are isotropic and have no directivity ():
Since the frequency of a radio wave is equal to the speed of light divided by the wavelength, the path loss can also be written in terms of frequency:
Beside the assumption that the antennas are lossless, this formula assumes that the polarization of the antennas is the same, that there are no multipath effects, and that the radio wave path is sufficiently far away from obstructions that it acts as if it is in free space.
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Les ondes radioélectriques ou ondes hertziennes sont des ondes électromagnétiques qui se propagent de deux façons : dans l'espace libre (propagation rayonnée, autour de la Terre par exemple) dans des lignes (propagation guidée, dans un câble coaxial ou un guide d'ondes) Le domaine des fréquences des ondes radio s'étend de à . Pour la partie théorique, on se reportera à l'article Établissement de l'équation de propagation à partir des équations de Maxwell .
L'équation des télécommunications, (appelée aussi équation de Friis par les Anglo-Saxons), permet d'obtenir un ordre de grandeur de la puissance radio collectée par un récepteur situé à une certaine distance d'un émetteur en espace libre. Il ne faut pas la confondre avec la formule de Friis, utilisée pour calculer le facteur de bruit d'un système.
Le décibel, de symbole dB, est une unité définie comme dix fois le logarithme décimal du rapport entre deux puissances, utilisée dans les télécommunications, l'électronique et l'acoustique. Dans le domaine de l'acoustique environnementale, on exprime couramment le niveau sonore en décibels. Cette valeur indique implicitement le rapport des puissances entre la grandeur mesurée et la valeur de référence qui correspond à un son trop faible pour être entendu. Le décibel est un sous-multiple du bel, jamais employé.
Explore les antennes, la communication sans fil, la propagation des ondes électromagnétiques, la réflexion du signal et la perte de chemin dans la transmission sans fil.
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