• Title/Summary/Keyword: erlang

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An Improved New RLS Algorithm with Forgetting Factor of Erlang Function for System Identification (시스템 식별을 위한 Erlang 함수의 망각 인자를 가진 개선된 RLS 알고리즘)

  • Seok, Jin-Wuk;Choi, Kyung-Sam;Lee, Jong-Soo;Cho, Seong-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.4
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    • pp.394-402
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    • 1999
  • In this paper, we present an effective RLS algorithm with forgetting factor of Erlang function for the system identification. In the proposed algorithm, the forgetting factor decreases monotonically in the first stage, and then it increases monotonically in the second stage in contrary to the conventional forgetting factor RLS algorithms. In addition, annealing effect and an asymptotically stability of the proposed algorithm is discussed based on the analysis of convergency property on. Simulation results for the system identification problem indicate the superiority of the proposed algorithm in comparison to the RLS algorithm such as NLMS and Kalman filter based algorithm.

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Analysis of Erlang Capacity for Multi-FA CDMA Systems Supporting Voice and Data Services (음성 및 데이터 서비스를 지원하는 다중 반송파 코드 분할 다중 접속방식 시스템의 얼랑 용량 분석)

  • 구인수;양정록;김태엽;김기선
    • Proceedings of the IEEK Conference
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    • 2000.06a
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    • pp.37-40
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    • 2000
  • As the number of CDMA subscribers increases, CDMA systems utilize more than one CDMA carrier In order to accommodate Increasing capacity requirement. In this paper, we present a new analytical method for evaluating the Erlang capacity of CDMA systems with multiple CDMA carriers. in the case of the algorithm proposed in 〔5〕, the calculation complexity for evaluating the call blocking probability Is increased proportionally to the sixth power of the number of used CDMA carriers when the CDMA system supports voice and data services. Consequently, It is Impractical to calculate Erlang capacity with the algorithm of 〔5〕especially when the number of used CDMA carriers is larger than 3. To resolve this problem, we propose a new analytical method for evaluating the Erlang capacity. The calculation complexity of the proposed method for evaluating call blocking probability is increased just proportionally to the second power of the number of used CDMA carriers when the CDMA systems support voice and data services.

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A Capacity Planning Framework for a QoS-Guaranteed Multi-Service IP network (멀티서비스를 제공하는 IP 네트워크에서의 링크용량 산출 기법)

  • Choi, Yong-Min
    • 한국정보통신설비학회:학술대회논문집
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    • 2007.08a
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    • pp.327-330
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    • 2007
  • This article discusses a capacity planning method in QoS-guaranteed IP networks such as BcN (Broadband convergence Network). Since IP based networks have been developed to transport best-effort data traffic, the introduction of multi-service component in BcN requires fundamental modifications in capacity planning and network dimensioning. In this article, we present the key issues of the capacity planning in multi-service IP networks. To provide a foundation for network dimensioning procedure, we describe a systematic approach for classification and modeling of BcN traffic based on the QoS requirements of BcN services. We propose a capacity planning framework considering data traffic and real-time streaming traffic separately. The multi-service Erlang model, an extension of the conventional Erlang B loss model, is introduced to determine required link capacity for the call based real-time streaming traffic. The application of multi-service Erlang model can provide significant improvement in network planning due to sharing of network bandwidth among the different services.

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Bayesian Inference for Mixture Failure Model of Rayleigh and Erlang Pattern (RAYLEIGH와 ERLANG 추세를 가진 혼합 고장모형에 대한 베이지안 추론에 관한 연구)

  • 김희철;이승주
    • The Korean Journal of Applied Statistics
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    • v.13 no.2
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    • pp.505-514
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    • 2000
  • A Markov Chain Monte Carlo method with data augmentation is developed to compute the features of the posterior distribution. For each observed failure epoch, we introduced mixture failure model of Rayleigh and Erlang(2) pattern. This data augmentation approach facilitates specification of the transitional measure in the Markov Chain. Gibbs steps are proposed to perform the Bayesian inference of such models. For model determination, we explored sum of relative error criterion that selects the best model. A numerical example with simulated data set is given.

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Capacity analysis of CDMA cellular systems using erlang capacity (얼랑 캐패시티를 이용한 CDMA 셀룰라 시스템의 용량 분석)

  • 양정모;박진수
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.3
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    • pp.39-46
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    • 1998
  • In the FDMA and TDMA Cellular Systems, call blocking rise when frewquence slots andtime slots are used to ther users. Otherwise, in the CDMA cellular systems, call locking arises when interference level is above 10dB according to call of other users. System capacity is defined to be Erlang capacity that is the number of users when CDMA blocking probability is 1% or 2%. Users number corresponded channel number of AMPS and TDMA cellular systems. In this paper, we proposed new reuse-fraction using square of interference poser and obtained Erlang capacity for reverse link of CDMA cellular system with bit rate $R_{b}$, 9.6kbps and 14.4kbps. As a results, Erlange capacity of CDMA system have more 20.7 and 5.5 times than AMPS and TDMA system and have more form 1 to 4 Erlang thatn Viterbi and Padovani obtaned.d.

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SIMPLE RANKED SAMPLING SCHEME: MODIFICATION AND APPLICATION IN THE THEORY OF ESTIMATION OF ERLANG DISTRIBUTION

  • RAFIA GULZAR;IRSA SAJJAD;M. YOUNUS BHAT;SHAKEEL UL REHMAN
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.449-468
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    • 2023
  • This paper deals in the study of the estimation of the parameters of Erlang distribution based on rank set sampling and some of its modifications. Here we considered Maximum Likelihood (ML) and the Bayesian technique to estimate the shape and scale parameter of Erlang distribution based on RSS and its some modifications such as ERSS, MRSS, and MRSSu. The derivation for unknown parameters of Erlang distribution is well presented using normal approximation to the asymptotic distribution of ML estimators. But due to the complexity involves in the integral, the Bayes estimator of unknown parameters is obtained using MCMC method. Further, we compared the MSE of estimation in different sampling schemes with different set sizes and cycle size. A real-life data application is also given to illustrate the efficiency of the proposed scheme.

Capacity and Coverage according to Calculations of the Erlang Capacity in the Reverse Link of a DS/CDMA System (DS/CDMA 시스템의 역방향 링크에서 얼랑용량 계산에 따른 사용자 수와 셀 커버리지)

  • Kwon, Young-Soo;Kim, Hang-Rae;Kim, Nam
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.13 no.9
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    • pp.947-955
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    • 2002
  • In this paper, we derive an outage probability for the Erlang capacity and the link margin respectively, calculate them with the same parameters and outage probability, and then analyze a capacity and cell coverage in city, suburban, and open area. So, the Erlang capacity is more real than in a cell, and the cell coverage can be calculated with high reliability by the margin. When the $E_b/N_o$ decreases from 7 dB to 5 dB within the outage probability of 5 %, it is observed that the capacity is increased from 18 Erlang to 31 Erlang with the same margin of 2.8 dB, then the coverage is increased to 0.4 km, 1 km, and 2.5 km in city, suburban, and open area respectively. Also if the outage probability is decreased from 5 % to 2 % in case of $E_b/N_o$ of 5 dB, the result shows a very reliable link with additional increment of 0.88 dB in the margin and a high QoS (quality of service) within decrement of 0.15 km, 0.5 km, and 1.5 km for the same areas with decrement of 3 Erlang from 31 Erlang.

Erlang Capacity for the Reverse Link of a DS/CDMA Cellular System Supporting Voice and Data Service in Rayleigh Fading Channel (레일레이 페이딩 채널에서 음성 및 데이터 서비스를 지원하는 DS/CDMA 셀룰라 시스템의 역방향 링크에 대한 얼랑 용량)

  • Kim, Hang-Rae;Kim, Nam
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.38 no.12
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    • pp.20-28
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    • 2001
  • In this paper, a extended blocking probability formula for reverse link of a DS/CDMA cellular system supporting voice and data service is derived in Rayleigh fading channel. Also, voice and data Erlang capacity considering shadowing are analyzed and compared with those considering both shadowing and multipath fading, respectively. Assuming that the blocking probability set 1% in the Rayleigh fading channel, they are observed that voice Erlang capacity of 13.38 Erlangs and data Erlang capacity of 8.92 Erlangs are supported at the data rate $R_b$=9.6 kbps, and voice Erlang capacity of 7.47 Erlangs and data Erlang capacity of 4.98 Erlangs are supported at the data rate $R_b$=14.4 kbps, respectively, and then are less 21.4% for $R_b$=9.6 kbps, 24.9% for $R_b$=14.4 kbps than Erlang capacity considering shadowing only, respectively. It is shown that the effect of multipath fading must not be ignored. Also, it is presented that accurate voice and data Erlang capacity which could be supported by the DS/CDMA cellular system.

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Erlang capacity for the reverse link of an imperfect power controlled DS/CDMA cellular system in multipath fading environments (다중경로 페이딩 환경에서 불완전 전력제어된 DS/CDMA 셀룰라 시스템의 역방향 링크에 대한 얼랑용량)

  • Kim, Hang-Rae;Kim, Nam
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.37 no.5
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    • pp.1-9
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    • 2000
  • In this paper, for the reverse link of a imperfect power controlled DS/CDMA cellular system when a mobile radio channel is a Rayleigh distributed multipath fading channel, A extended DS/CDMA blocking probability formula considering both shadowing and multipath fading is derived. Erlang capacity and equivalent channel number considering shadowing are analyzed and compared with those considering both shadowing and multipath fading, respectively. The DS/CDMA blocking probability is calculated based on the analysis method that obtains Erlang capacity and ICF(interference correction factor) using the median value of $E_{b(i)}$/ $I_{0}$ corresponding to each reverse link user Assuming that the blocking probability set 2%, it is observed that the Erlang capacity is 19.97 Erlang at the data rate $R_{b}$=9.6 kbps and 11.67 Erlang at the data rate $R_{b}$=14.4 kbps and then is less 16% and 19% than the Erlang capacity considering shadowing only, respectively. It is also shown that the effect of multipath fading must not be ignored and then exact Erlang capacity and equivalent channel numbers that the DS/CDMA cellular system can support are provided.d.d.d.

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Cell Coverage Based on Calculation of the Voice-Data Erlang Capacity in a WCDMA Reverse Link with Multi-rate Traffic (WCDMA 역방향 링크에서 다중속도 트래픽에 따른 음성/데이터 얼랑용량 계산과 셀 커버리지)

  • Kwon, Young-Soo;Han, Tae-Young;Kim, Nam
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.4
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    • pp.387-396
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    • 2004
  • A scheme to evaluate the number of users and cell coverage of a WCDMA supporting multi-rate traffic is newly presented through calculation of the realizable Erlang capacity from a derived blocking probability and the path loss from the COST231 Walfisch-Ikegami(W) model. We evaluate the voice-data Erlang capacities at various data rates of 15 kbps to 960 kbps and it is shown that they have a linear relationship to each other. When the E$\_$b//N$\_$o/ is low from 4 ㏈ to 3 ㏈ in case of voice capacity of 50 Erlang at 8 kbps, the result shows the increase for the data capacity of 10 Erlang and the enlargement of 100 m for the cell coverage at low rate of 15 kbps, and the increase of 0.11 Erlang and the enlargement of 40 m at high rate of 960 kbps. The increase of the blocking probability results in the increase of the Erlang capacity, but not an effect on the cell coverage, and the increase of active users in a cell results in the decrease of the coverage.