Stochastic Geometry Methods for Modeling Automotive Radar Interference

Al‐Hourani, Akram; Evans, Robin J.; Kandeepan, Sithamparanathan; Moran, Bill; Eltom, Hamid

doi:10.1109/tits.2016.2632309

Cited by 84 publications

(85 citation statements)

References 30 publications

(51 reference statements)

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“…2 1 In order to better isolate the effect of interference, we consider a fixed RCS, representative of static targets. 2 Following stochastic geometry arguments, the impact of noise on communications links would appear as a scaling factor on throughput at very low densities, not altering the trends we report. As for radars, additional results, not shown here due to space constraints, confirm that thermal noise also becomes non-negligible only in very sparse networks, while for all densities considered in our study mutual interference is the key performance driver (see also [16]).…”

Section: B Channel and Interference Modelmentioning

confidence: 59%

Performance of Radar and Communication Networks Coexisting in Shared Spectrum Bands

Munari

Grosheva

Mähönen

2019

2019 IEEE 30th Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC)

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Recent technological advancements are making the use of compact, low-cost, low-power mm-wave radars viable for providing environmental awareness in a number of applications, ranging from automotive to indoor mapping and radio resource optimisation. These emerging use-cases pave the road towards networks in which a large number of radar and broadband communications devices coexist, sharing a common spectrum band in a possibly uncoordinated fashion. Although a clear understanding of how mutual interference influences radar and communications performance is key to proper system design, the core tradeoffs that arise in such scenarios are still largely unexplored. In this paper, we provide results that help bridge this gap, obtained by means of an analytical model and extensive simulations. To capture the fundamental interactions between the two systems, we study mm-wave networks where pulsed radars coexist with communications devices that access the channel following an ALOHA policy. We investigate the effect of key parameters on the performance of the coexisting systems, including the network density, fraction of radar and communication nodes in the network, antenna directivity, and packet length. We quantify the effect of mutual interference in the coexistence scenario on radar detection and communication network throughput, highlighting some non-trivial interplays and deriving useful design tradeoffs.

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Section: B Channel and Interference Modelmentioning

confidence: 59%

Performance of Radar and Communication Networks Coexisting in Shared Spectrum Bands

Munari

Grosheva

Mähönen

2019

2019 IEEE 30th Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC)

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“…Nevertheless, it is natural to assume that the strongly thinned process generates interference statistics similar to those of the thinned PPP. In other words, a PPP with intensity λ in (c, ∞) predicts more accurately the interference field due to the process Φ c of equal intensity for smaller ξ [21], e.g., compare the accuracy of model M1 for ξ = 0.1 and ξ = 0.5 in Fig. 2.…”

Section: Approximating the Conditional Pgfl Of φ Cmentioning

confidence: 99%

“…In [20], the 1D Matèrn type-II process is enhanced with discrete marks modeling non-saturated data traffic, and the transmission success probability is evaluated. In [21], it is shown that with low transmission probability, the outage due to 1D Bernoulli lattice converges to that due to a PPP of equal intensity.…”

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confidence: 99%

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The Meta Distribution of the SIR in Linear Motorway VANETs

Koufos

Dettmann

2019

IEEE Trans. Commun.

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The meta distribution of the signal-to-interferenceratio (SIR) is an important performance indicator for wireless networks because, for ergodic point processes, it describes the fraction of scheduled links that achieve certain reliability, conditionally on the point process. In this paper, we calculate the moments of the meta distribution in vehicular ad hoc networks (VANETs) along high-speed motorways. Due to the high speeds, the drivers maintain large safety distances, and the Poisson point process (PPP) becomes a poor deployment model. Because of that, we model the distribution of inter-vehicle distance equal to the sum of a constant hardcore distance and an exponentially distributed random variable. We design a novel discretization model for the locations of vehicles which can be used to approximate well the meta distribution of the SIR due to the hardcore process. We validate the model against synthetic motorway traces. On the other hand, the PPP overestimates significantly the coefficient-of-variation of the meta distribution due to the hardcore process, and its predictions fail. In addition, we show that the calculation of the meta distribution becomes especially meaningful in the upper tail of the SIR distribution.

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“…Generalization to more than three lanes is straightforward. The model should be particularly useful in cases with high transmission probability because, with strong thinning, the hardcore process converges to PPP [20]. Potential direction for future work is the application of more realistic propagation functions and fading channels for vehicle-tovehicle communication.…”

Section: Probability Of Outage − Synthetic Tracesmentioning

confidence: 99%

Outage in Motorway Multi-Lane VANETs With Hardcore Headway Distance Using Synthetic Traces

Koufos

Dettmann

2021

IEEE Trans. on Mobile Comput.

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In this paper we analyze synthetic mobility traces generated for three-lane unidirectional motorway traffic to find that the locations of vehicles along a lane are better modeled by a hardcore point process instead of the widely-accepted Poisson point process (PPP). In order to capture the repulsion between successive vehicles while maintaining a level of analytical tractability, we make a simple extension to PPP: We model the inter-vehicle distance along a lane equal to the sum of a constant hardcore distance and an exponentially distributed random variable. We calculate the J-function and the Ripley's Kfunction for this hardcore point process. We fit its parameters to the available traces, and we illustrate that the higher the average speed along a lane, the more prominent the hardcore component becomes. In addition, we consider a transmitter-receiver link on the same lane, and we generate simple formulae for the moments of interference under reduced Palm measure for that lane, and without conditioning for other lanes. We illustrate that under Rayleigh fading a shifted-gamma approximation for the distribution of interference per lane provides a very good fit to the simulated outage probability using the synthetic traces, while the fit using the PPP is poor.

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Stochastic Geometry Methods for Modeling Automotive Radar Interference

Cited by 84 publications

References 30 publications

Performance of Radar and Communication Networks Coexisting in Shared Spectrum Bands

Performance of Radar and Communication Networks Coexisting in Shared Spectrum Bands

The Meta Distribution of the SIR in Linear Motorway VANETs

Outage in Motorway Multi-Lane VANETs With Hardcore Headway Distance Using Synthetic Traces

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