Noise from complex road traffic

Kurze, U. J.

doi:10.1016/0022-460x(71)90605-5

Cited by 19 publications

(5 citation statements)

References 9 publications

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“…In Equation 2, taking the limit as D goes to 0 (observer on the highway) we obtain for Re (z)~0, (5) whence we can invert (4) explicitly, using HMF 29.3.82, to obtain (6)…”

Section: The Exact Form Of P(/) For the Case D =mentioning

confidence: 99%

“…by Hermite polynomials, and of the Gamma or Erlang p.d.f. by LaGuerre polynomials, with coefficients determined by cumulants of I) has been developed by Kurze [4], [5]. Kurze has also developed expansions for Weiss's distribution (2) using a saddle-point approximation to the c.g.f.…”

Section: Case 5 Unnormalised Pareto Distributionmentioning

confidence: 99%

“…A probabilistic model of traffic noise from vehicles on a long straight highway has been developed by Weiss [15], Kurze [4], [5], and Marcus [8], [9]. The deepest derivation of the distribution of the noise intensity, or relative power I, has been given by Weiss.…”

Section: Introductionmentioning

confidence: 99%

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Some exact distributions in traffic noise theory

Marcus

1975

Advances in Applied Probability

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The moment-generating function of the traffic noise from a stream of vehicles with identical noise emissions cannot be readily inverted. If the emissions are not equal, this generating function can be inverted to obtain the exact form of the distribution function in some particular cases. Noise intensity has a maximally skew stable distribution with exponent 1/2 for observers on the highway, whatever the distribution of emissions. The distribution at any distance from the highway is an exponentially modified stable law with exponent 1/2 for an improper exponential distribution of emissions, and an infinite series involving this stable law and iterated error functions when emissions have an exponential distribution. A doubly stochastic process for emissions produces distributions of traffic noise intensity in the domain of attraction of skew stable laws with exponent α, 1/2 < α < 2. The inverse Gaussian (exponentially modified skew stable law with exponent 1/2) is recommended as the best choice of a two-parameter family for fitting traffic noise intensity distributions.

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“…In Equation 2, taking the limit as D goes to 0 (observer on the highway) we obtain for Re (z)~0, (5) whence we can invert (4) explicitly, using HMF 29.3.82, to obtain (6)…”

Section: The Exact Form Of P(/) For the Case D =mentioning

confidence: 99%

Section: Case 5 Unnormalised Pareto Distributionmentioning

confidence: 99%

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Some exact distributions in traffic noise theory

Marcus

1975

Advances in Applied Probability

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“…To describe the relevant uncertainty we therefore need a probabilistic model for the noise from a stream of vehicles on a highway. Such a model has recently been developed by Weiss (1970), Kurze (1971aKurze ( ), (1971b and Marcus (1973), (1975). The assumptions of this model in a simple form are:…”

Section: Introductionmentioning

confidence: 99%

The average noise from a Poisson stream of vehicles

Andersen

Lauritzen

1977

Journal of Applied Probability

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“…The standard deviations of sound levels, for mixes of automobiles, medium trucks, and heavy trucks, were calculated, following the analysis of Kurze[D2,D3] , from the expression SIG * 4.34/ln(l+K2), (D.9) where k^^is the second-order cumulant (or semi-invariant) AVERAGE VEHICLE SPEED, km/hr Figure Dl. Source levels (lower drawing) and standard deviations of source levels (upper drawing) for automobiles, medium trucks, and heavy trucks [Dl] Multiple-vehicle, constant-speed passbys with trucks included were not actually made.…”

Section: Standard Deviations Of Sound Levelsmentioning

confidence: 99%