Simulation of the indoor propagation of a 60GHz electromagnetic wave with a time-dependent radiosity algorithm

Rougeron, Gilles; Gaudaire, François; Gabillet, Y.; Bouatouch, Kadi

doi:10.1016/s0097-8493(01)00183-2

Cited by 8 publications

(12 citation statements)

References 17 publications

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“…We can see that the power at the walls is stronger on the longer ends of the room, whereas the floor and the ceiling have the lowest levels, and the power distribution has its maximum in the centers of the walls and is diminishing towards the corners. From here it follows that (10) and (11) can indeed be only approximative, since they rely on homogeneity of the field across the room.…”

Section: Discussionmentioning

confidence: 96%

“…Trying to obtain a numerical model to support the theory, we chose the radiosity method, which is based on purely diffuse scattering and has been successfully used in the acoustics discipline [5], as well as in computer graphics and architectural lighting [6]. The radiosity approach has also been employed in radio coverage prediction in outdoor studies [7]- [9] and in combination with ray tracing in indoor environment [10]. Among its advantages we would like to highlight the relative simplicity and speed of the algorithm, while the lack of any information on specular reflections might be seen as a disadvantage.…”

Section: Introductionmentioning

confidence: 99%

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Diffuse Scattering Model of Indoor Wideband Propagation

Fránek

Andersen

Pedersen

2011

IEEE Trans. Antennas Propagat.

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Abstract-This paper presents a discrete-time numerical algorithm for computing field distributions in indoor environments by diffuse scattering from the walls. Calculations are performed for a rectangular room with semi-reflective walls. The walls are divided into 0.5 × 0.5 m segments, resulting in 2272 wall segments in total and approximately 2 min running time on average computer. Frequency independent power levels at the walls around the circumference of the room and at four receiver locations in the middle of the room are observed. It is demonstrated that after a finite period of initial excitation the field intensity in all locations eventually follows an exponential decay with the same slope and approximately the same level for given delay. These observations are shown to be in good agreement with theory and previous measurements-the slopes of the decay curves for measurement, simulation and theory are found to be 18 dB, 19.4 dB and 20.2 dB per 100 ns, respectively. The remaining differences are further discussed and an additional case of a spherical room is used to demonstrate the influence of the room shape on the results. It is concluded that the presented method is valid as a simple tool for use in indoor radio coverage predictions.

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Section: Discussionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Diffuse Scattering Model of Indoor Wideband Propagation

Fránek

Andersen

Pedersen

2011

IEEE Trans. Antennas Propagat.

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“…The model predicts a delay-power spectrum consisting of a single directly propagating "coherent component" followed by an incoherent tail. Time-dependent radiosity [19]- [22] accounting for delay dispersion has been recently applied to design a model for the received instantaneous power [23]. Thereby, the exponential power decay and the avalanche effect can be predicted.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Reverberant Radio Channels Using Propagation Graphs

Pedersen

Steinböck

Fleury

2012

IEEE Trans. Antennas Propagat.

109

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Abstract-In measurements of in-room radio channel responses an avalanche effect can be observed: earliest signal components, which appear well separated in delay, are followed by an avalanche of components arriving with increasing rate of occurrence, gradually merging into a diffuse tail with exponentially decaying power. We model the channel as a propagation graph in which vertices represent transmitters, receivers, and scatterers, while edges represent propagation conditions between vertices. The recursive structure of the graph accounts for the exponential power decay and the avalanche effect. We derive a closed form expression for the graph's transfer matrix. This expression is valid for any number of interactions and is straightforward to use in numerical simulations. We discuss an example where time dispersion occurs only due to propagation in between vertices. Numerical experiments reveal that the graph's recursive structure yields both an exponential power decay and an avalanche effect.

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“…The primary difference between the radiosity method for radiant flux transfer and the acoustical radiosity method is the introduction of a time factor for the finite speed of sound, which makes acoustical radiosity time-dependent 16,17 and even more computationally expensive. There is, therefore, a need to reduce the computational load and improve the calculation time wherever possible.…”

Section: Introductionmentioning

confidence: 99%

“…For example, Rougeron et al gave an average method to estimate the radiosity in the later phase of energy decay instead of calculating it explicitly. 17 There is, however, a critical question behind such methods, which, to our knowledge has not been previously discussed in the literature: When does the energy decay enter into the later phase? We present in this paper a solution that is based on Miles' theory.…”

Section: Introductionmentioning

confidence: 99%

Relaxation of sound fields in rooms of diffusely reflecting boundaries and its application in acoustical radiosity simulation

Zhang

2006

The Journal of the Acoustical Society of America

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The acoustical radiosity method is a computationally expensive acoustical simulation algorithm that assumes an enclosure with ideal diffuse reflecting boundaries. Miles observed that for such an enclosure, the sound energy decay of every point on the boundaries will gradually converge to exponential manner with a uniform decay rate. Therefore, the ratio of radiosity between every pair of points on the boundaries will converge to a constant, and the radiosity across the boundaries will approach a fixed distribution during the sound decay process, where radiosity is defined as the acoustic power per unit area leaving (or being received by) a point on a boundary. We call this phenomenon the "relaxation" of the sound field. In this paper, we study the relaxation in rooms of different shapes with different boundary absorptions. Criteria based on the relaxation of the sound field are proposed to terminate the costly and unnecessary radiosity computation in the later phase, which can then be replaced by a fast regression step to speed up the acoustical radiosity simulation.

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Simulation of the indoor propagation of a 60GHz electromagnetic wave with a time-dependent radiosity algorithm

Cited by 8 publications

References 17 publications

Diffuse Scattering Model of Indoor Wideband Propagation

Diffuse Scattering Model of Indoor Wideband Propagation

Modeling of Reverberant Radio Channels Using Propagation Graphs

Relaxation of sound fields in rooms of diffusely reflecting boundaries and its application in acoustical radiosity simulation

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