A table of integrals of the Error functions

Ng, Edward W.; Geller, Murray

doi:10.6028/jres.073b.001

Cited by 210 publications

(117 citation statements)

References 3 publications

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“…순시 위상변조 함수 φ(t)를 구하기 위해 폭이 T b 이 고 t=0에 대칭인 단일 NRZ 펄스에 대한 GLPF 출 력을 구하면 식(6)과 같이 되고, 이는 식(7)의 오차 함수에 대한 정의를 사용해서 정리한 것이다 [9] .…”

Section: ⅱ Gmsk 변조 개념unclassified

The GMSK Modulation for Bipolar Delta Signal

Bang¹,

Lee²

2013

The Journal of Korea Information and Communications Society

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In the basic GMSK, the modulated signals are generated by the preprocessing of NRZ pulse trains with the gaussian low pass filter. In this paper, we proposed the GMSK modulation system with the delta pulse trains.The proposed system constructed with the gaussian pulse generator triggered by the bipolar delta pulse, the differentiator between +Tb/2 and -Tb/2, and then a matched filter for frequency-modulation function. The spectrum of proposed system was found to be smaller than about 35[%] at 40[dB] attenuated bandwidth, and the center spectrum to be lower than the basic GMSK with zero-crossing property.

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Section: ⅱ Gmsk 변조 개념unclassified

The GMSK Modulation for Bipolar Delta Signal

Bang¹,

Lee²

2013

The Journal of Korea Information and Communications Society

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“…5 (33), whi ch may be put in th e form yr; Thi s latte r equation foll ows from refere nce [1], p. 7, 4 .3 (2). We shall demonstrate tha t for the ge neral case, the Fourier cosine tra nsform may be writte n as…”

Section: Fourier Transforms Of Exp( -X 2 )Erfc(ax)mentioning

confidence: 99%

“…For 0' = 1, the integral in eq (9) may be e valuated (see refe re nce [1] , p. 7, 4.3(1)) to gi ve the additional closed form spec ial case…”

Section: Fourier Transforms Of Exp( -X 2 )Erfc(ax)mentioning

confidence: 99%

A class of double integrals involving Gaussian and trigonometric factors

Fradkin¹

1979

J. RES. NATL. BUR. STAN.

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“…Equations (6) and (7) can be obtained exploiting the numerous properties of the Error function given in [40].…”

Section: Exact Procedures To Solve Problem (P2)mentioning

confidence: 99%

Stochastic Reorder Point-Lot Size (r,Q) Inventory Model under Maximum Entropy Principle

Castellano

2015

Entropy

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This paper takes into account the continuous-review reorder point-lot size (r,Q) inventory model under stochastic demand, with the backorders-lost sales mixture. Moreover, to reflect the practical circumstance in which full information about the demand distribution lacks, we assume that only an estimate of the mean and of the variance is available. Contrarily to the typical approach in which the lead-time demand is supposed Gaussian or is obtained according to the so-called minimax procedure, we take a different perspective. That is, we adopt the maximum entropy principle to model the lead-time demand distribution. In particular, we consider the density that maximizes the entropy over all distributions with given mean and variance. With the aim of minimizing the expected total cost per time unit, we then propose an exact algorithm and a heuristic procedure. The heuristic method exploits an approximated expression of the total cost function achieved by means of an ad hoc first-order Taylor polynomial. We finally carry out numerical experiments with a twofold objective. On the one hand we examine the efficiency of the approximated solution procedure. On the other hand we investigate the performance of the maximum entropy principle in approximating the true lead-time demand distribution.

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A table of integrals of the Error functions

Abstract: This is a compendium of indefinite and definite integrals of products of the Error fun ction with e le men tary or transcendental fun ction s. A s'ubstantial portion of the res ults are ne w.

Cited by 210 publications

References 3 publications

The GMSK Modulation for Bipolar Delta Signal

The GMSK Modulation for Bipolar Delta Signal

A class of double integrals involving Gaussian and trigonometric factors

Stochastic Reorder Point-Lot Size (r,Q) Inventory Model under Maximum Entropy Principle

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