• Title/Summary/Keyword: Probability of Error

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Detection of the Normal Population with the Largest Absolute Value of Mean

  • Kim, Woo-Chul;Jeong, Gyu-Jin
    • Journal of the Korean Statistical Society
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    • v.22 no.1
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    • pp.71-81
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    • 1993
  • Among k independent normal populations with unknown means and a common unknown variance, the problem of detecting the population with the largest absolute value of mean is considered. This problem is formulated in a manner close to the framework of testing hypotheses, and the maximum error probability and the minimum power are considered. The power charts necessary to determine the sample size are provided. The problem of detecting the population with the smallest absolute value of mean is also considered.

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Detection of Changes of the Population Fraction Nonconforming in the p Control Chart (p관리도의 불량률의 변화 탐지)

  • Chang, Kyung;yang, Moon-Hee
    • Journal of Korean Society for Quality Management
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    • v.25 no.3
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    • pp.74-85
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    • 1997
  • In this paper we calculate the subgroup size necessary for detecting the change of percent defective with several detection probabilities for orginal population fraction nonconforming p, changed population fraction nonconforming $p^*$, and the ratio k=$p^*$/p in the usage of p control charts. From our calculation we can know the error level of normal a, pp.oximation in detection probability calculation and recommend the subgroup size with lower error levels of normal a, pp.oximation, and then we show the reasonable subgroup size necessary for p, $p^*$, k, and the detection probability of the change of fraction nonconforming in a process. The information that we here show in tables will be useful when p control chart users decide the subgroup size in the p control chart users decide the subgroup size in the p control chart.

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The Robustness of Coding and Modulation for Body-Area Networks

  • Biglieri, Ezio;Alrajeh, Nabil
    • Journal of Communications and Networks
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    • v.16 no.3
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    • pp.264-269
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    • 2014
  • We consider transmission over body area networks. Due to the difficulty in assessing an accurate statistical model valid for multiple scenarios, we advocate a system design technique favoring robustness. Our approach, which is based on results in [12] and generalizes them, examines the variation of a performance metric when the nominal statistical distribution of fading is replaced by the worst distribution within a given Kullback-Leibler divergence from it. The sensitivity of the performance metric to the divergence from the nominal distribution can be used as an indication of the design robustness. This concept is applied by evaluating the error probability of binary uncoded modulation and the outage probability-the first parameter is useful to assess system performance with no error-control coding, while the second reflects the performance when a near-optimal code is used. The usefulness of channel coding can be assessed by comparing its robustness with that of uncoded transmission.

Nonuniform Encoding and Hybrid Decoding Schemes for Equal Error Protection of Rateless Codes

  • Lim, Hyung Taek;Joo, Eon Kyeong
    • ETRI Journal
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    • v.34 no.5
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    • pp.719-726
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    • 2012
  • Messages are generally selected with the same probability in the encoding scheme of rateless codes for equal error protection. In addition, a belief propagation (BP) decoding scheme is generally used because of the low computational complexity. However, the probability of recovering a new message by BP decoding is reduced if both the recovered and unrecovered messages are selected uniformly. Thus, more codeword symbols than expected are required for the perfect recovery of message symbols. Therefore, a new encoding scheme with a nonuniform selection of messages is proposed in this paper. In addition, a BP-Gaussian elimination hybrid decoding scheme that complements the drawback of the BP decoding scheme is proposed. The performances of the proposed schemes are analyzed and compared with those of the conventional schemes.

Quantification of Angular Prediction Accuracy for Phased Array Radar Tracking (위상배열레이더 추적 각도예측의 정확도 정량화)

  • Hong, Sun-Mog
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.49 no.1
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    • pp.74-79
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    • 2012
  • Scalar quantification of the angular prediction error covariance matrix is considered for characterizing tracking performances in phased array radar tracking. Specifically, the maximum eigenvalue and the trace of the covariance matrix are examined in terms of consistency in parameterizing the probability of detection, taking antenna beam-pointing losses into account, and it is shown numerically that the latter is more consistent.

Distribution of the Phase Error and the Envelope of the Received Signal over Nakagami Fading Channel (나카가미 감쇄 채널에서 수신 신호의 위상오류 분포와 포락선 분포)

  • 임채헌;한영열
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.10 no.6
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    • pp.825-834
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    • 1999
  • In this paper we derive the probability density function of the phase error and that of the envelope of the received signal over Nakagami fading channel. Using the new probability density functions we analyze the performance of coherent BPSK, noncoherent FSK, DPSK and noncoherent ASK on Nakagami fading by means of new methods.

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Error Probability Evaluation of a Novel Cooperative Communications Signaling Strategy in CDMA Systems

  • Khuong Ho-Van;Kong Hyung-Yun
    • Journal of Communications and Networks
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    • v.8 no.3
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    • pp.257-266
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    • 2006
  • The powerful benefits of multi-antenna systems can be obtained by cooperative communications among users in multiple access environments without the need for physical arrays. This paper studies a novel cooperative signaling strategy that achieves high performance and low implementation complexity for synchronous code division multiple access (CDMA) wireless mobile networks. The validity of the proposed strategy under slow flat Rayleigh fading channel plus additive white Gaussian noise (AWGN) is verified through closed-form error probability expressions and MonteCarlo simulations. A variety of analytical results reveal that the new cooperative strategy significantly outperforms direct transmission subject to the same spectral efficiency and transmit power constraint.

An Analysis of the Control Limit in p-chart Applying Binomial Distribution Using Commercial Software

  • Yoo Wang-Jin;Park Won-Joo
    • Proceedings of the Korean Society for Quality Management Conference
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    • 1998.11a
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    • pp.198-207
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    • 1998
  • The p chart approximate to the normal distribution has a difficulty to analyze the process condition precisely when the negative LCL is occurred. Furthermore, the probability of Type I error increases compared with using its original binomial distribution. For a long time the p chart has been used as approximated to the normal distribution because of its easy use. However, it becomes rapid and convenient to calculate the binomial distribution through the development of computer and software, so it is strongly suggested to use the binomial distribution determining control limits to reduce the probability of Type I error. In this study, I suggest that the control limits can be designed in use of binomial distribution and they can be utilized without special software by illustrating the certain work for establishing p-chart with the commercial one(EXCEL).

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Performance of Typical 3-D Signal Constellations in Rayleigh Fading Channel (레일리 페이딩 채널에서 대표적인 3차원 신호성상도의 성능)

  • Chen, Zhenxing;Choe, Chae-Cheol;Kang, Seog-Geun
    • Journal of Broadcast Engineering
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    • v.16 no.4
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    • pp.680-683
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    • 2011
  • In this paper, symbol error probability (SEP) of typical 3-dimensional (3-D) signal constellations in Rayleigh fading channel is derived. Simulation confirms that average SEP of the constellations is very accurate. Thus, the theoretical SEP derived can be exploited as a performance reference for future development of wireless communication systems with 3-D constellations.

Color Image Segmentation by statistical approach (확률적 방법을 통한 컬러 영상 분할)

  • Gang Seon-Do;Yu Heon-U;Jang Dong-Sik
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1677-1683
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    • 2006
  • Color image segmentation is useful for fast retrieval in large image database. For that purpose, new image segmentation technique based on the probability of pixel distribution in the image is proposed. Color image is first divided into R, G, and B channel images. Then, pixel distribution from each of channel image is extracted to select to which it is similar among the well known probabilistic distribution function-Weibull, Exponential, Beta, Gamma, Normal, and Uniform. We use sum of least square error to measure of the quality how well an image is fitted to distribution. That P.d.f has minimum score in relation to sum of square error is chosen. Next, each image is quantized into 4 gray levels by applying thresholds to the c.d.f of the selected distribution of each channel. Finally, three quantized images are combined into one color image to obtain final segmentation result. To show the validity of the proposed method, experiments on some images are performed.

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