• Title/Summary/Keyword: ML(maximum likelihood)

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Biased SNR Estimation using Pilot and Data Symbols in BPSK and QPSK Systems

  • Park, Chee-Hyun;Hong, Kwang-Seok;Nam, Sang-Won;Chang, Joon-Hyuk
    • Journal of Communications and Networks
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    • v.16 no.6
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    • pp.583-591
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    • 2014
  • In wireless communications, knowledge of the signal-to-noise ratio is required in diverse communication applications. In this paper, we derive the variance of the maximum likelihood estimator in the data-aided and non-data-aided schemes for determining the optimal shrinkage factor. The shrinkage factor is usually the constant that is multiplied by the unbiased estimate and it increases the bias slightly while considerably decreasing the variance so that the overall mean squared error decreases. The closed-form biased estimators for binary-phase-shift-keying and quadrature phase-shift-keying systems are then obtained. Simulation results show that the mean squared error of the proposed method is lower than that of the maximum likelihood method for low and moderate signal-to-noise ratio conditions.

Near ML Decoding Based on Metric-First Searching and Branch Length Threshold for Multiple Input Multiple Output Systems (여러 입력 여러 출력 시스템에서 길이 먼저 살펴보기와 가지 길이 문턱값을 바탕으로 둔 준최적 복호)

  • An, Tae-Hun;Kang, Hyun-Gu;Oh, Jong-Ho;Song, Iick-Ho;Yoon, Seok-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.8C
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    • pp.830-839
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    • 2009
  • In this paper, we address a near maximum likelihood (ML) scheme for the decoding of multiple input multiple output systems. Based on the metric-first search method and by employing Schnorr-Euchner enumeration and branch length thresholds, the proposed scheme provides reduced computational complexity. The proposed scheme is shown by simulation to have lower computational complexity than other near ML decoders while maintaining the bit error rate close to the ML performance.

A Consideration on ML Blind Signal Estimation based on Finite-Alphabet Characteristic in QPSK Modulation (QPSK 신호 입력시스템에서의 유한 알파벹 기반 ML 블라인드 신호 추정 비교)

  • Kwon, S.M.;Kim, S.J.;Lee, J.M.;Kim, C.K.;Cheon, J.M.
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.685-688
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    • 2003
  • In this paper, a performance comparison between two blind signal estimation algorithms in a LTI channel is considered. The two algorithms, Iterative Least-Squares with Projection (ILSP) and a modified ILSP, are based on the finite-alphabet property of input symbols. This case typically arises in a multiple access system with a sensor array antenna at the receiving end. We start with the formulation of a maximum-likelihood (ML) estimation problem under an additive white Gaussian noise assumption. A blind ML estimator is derived with its iterative algorithm for calculation. Then we narrow down the consideration of this problem to QPSK case so that a modified algorithm is proposed for $\pi$/4-QPSK case. The modified version is compared with the original ILSP algorithm in terms of the rate of the convergence to global minima. A computer simulation shows that the modified algorithm gives a better performance. This result implies that the performance of the blind separation algorithms may be greatly improved by adopting a smart coding scheme with rich structure.

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A Study on the Accuracy of the Maximum Likelihood Estimator of the Generalized Logistic Distribution According to Information Matrix (Information Matrix에 따른 Generalized Logistic 분포의 최우도 추정량 정확도에 관한 연구)

  • Shin, Hong-Joon;Jung, Young-Hun;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.42 no.4
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    • pp.331-341
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    • 2009
  • In this study, we compared the observed information matrix with the Fisher information matrix to estimate the uncertainty of maximum likelihood estimators of the generalized logistic (GL) distribution. The previous literatures recommended the use of the observed information matrix because this is convenient since this matrix is determined as the part of the parameter estimation procedure and there is little difference in accuracy between the observed information matrix and the Fisher information matrix for large sample size. The observed information matrix has been applied for the generalized logistic distribution based on the previous study without verification. For this purpose, a simulation experiment was performed to verify which matrix gave the better accuracy for the GL model. The simulation results showed that the variance-covariance of the ML parameters for the GL distribution came up with similar results to those of previous literature, but it is preferable to use of the Fisher information matrix to estimate the uncertainty of quantile of ML estimators.

Search Space Partitioning-based Receiver for Generalized Spatial Modulation under Channel Information Errors (일반화 공간변조 시스템에서 채널 정보 오차를 고려한 탐색 영역 분할 수신기)

  • Yoon, Hakjoon;Im, Changyong;Lee, Kyungchun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.23 no.12
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    • pp.1631-1637
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    • 2019
  • In this paper, we propose a low-complexity robust maximum likelihood (ML) receiver for generalized spatial modulation. The proposed receiver performs the transmit antenna partition to lower the computational loads. After we divide the transmit antenna combinations into two parts, one of which is "the likely TAC part," and the other of which is "the unlikely TAC part", based on the minimum mean square error (MMSE) filtering output. We first perform the maximum likelihood detection only in the likely TAC part. Then we evaluate the reliability of the solution found in the first search, and based its reliability we decide whether we continue the search in the unlikely TAC part. This partitioned search strategy maintains the performance of the conventional robust maximum likelihood receiver and simultaneously lowers computational loads. Through simulation, we found that our newly-proposed receiver achieves considerable gains over the conventional robust ML detector in terms of the computational loads while providing almost the same performance.

Estimation of Seasonal Cointegration under Conditional Heteroskedasticity

  • Seong, Byeongchan
    • Communications for Statistical Applications and Methods
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    • v.22 no.6
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    • pp.615-624
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    • 2015
  • We consider the estimation of seasonal cointegration in the presence of conditional heteroskedasticity (CH) using a feasible generalized least squares method. We capture cointegrating relationships and time-varying volatility for long-run and short-run dynamics in the same model. This procedure can be easily implemented using common methods such as ordinary least squares and generalized least squares. The maximum likelihood (ML) estimation method is computationally difficult and may not be feasible for larger models. The simulation results indicate that the proposed method is superior to the ML method when CH exists. In order to illustrate the proposed method, an empirical example is presented to model a seasonally cointegrated times series under CH.

Space-Time M-ary Orthogonal Walsh Sequence Keying (시공간 M-ary 직교 Walsh 수열 변조)

  • Kim, Jeong-Chang;Cheun, Kyung-Whoon
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.46 no.3
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    • pp.15-18
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    • 2009
  • In this paper, we propose ST-MWSK (space-time M-ary orthogonal Walsh sequence keying) employing MWSK which does not require channel estimation at the receiver. The computational complexity for the noncoherent ML (maximum-likelihood) detector of ST-MWSK is significantly reduced compared to that of ST-FSK (ST frequency-shift keying). Also, the performance of ST-MWSK is virtually identical to that of ST-FSK.

Missile Aerodynamic Structure and Parameter Identification Using the Extended Kalman Filter and Maximum Likelihood Method (확장칼만필터와 최대공산법을 이용한 미사일 공력계수 모델의 설정 및 계수추정)

  • 성태경;이장규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.6
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    • pp.246-256
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    • 1986
  • Determination of an aerodynamic structure is a very important problem in missile modeling. The structure problem is to choose an appropriate set of aerodynamic coefficients to represent chosen missile dynamics. A methodology and criteria to determine a structure from windtunnel data are presented in this paper. Aerodynamic coeffecients in the determined structure are then identified by parameter identification algorithms. The identified coefficients are in turn used to verify appropriateness of the structure. The extended Kalman filter (EKF) and the maximum likelihood mithod (ML) are adopted as the parameter identification algorithm. Both methods exhibit satisfactory results. While the model identified by the ML more closely follows dynamics of the chosen missile than that by the EKF.

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Missile aerodynamic structure and parameter identification using the extended Kalman Filter and maximum likelihood method (확장 칼만 필터와 최대공산법을 이용한 미사일 공력계수)

  • 성태경;이장규;박양배
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.262-265
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    • 1986
  • 미사일의 동특성은 공력계수(aerodynamic coefficients)들의 구조 및 그 계수값에 의해 결정된다. 현재까지 공력계수는 풍동시험(wind tunnel test)에 의한 모형법으로 구하는 것이 보편적이었으나 모형과 실제 시스템의 차이에 의해 발생하는 오차, 풍동시험의 오차, 모형의 스케일 팩터(scale factor)오차, 실제 대기조건의 특성에 의한 오차 등에 의해, 시제품을 이용한 실제 비행시험 결과가 풍동시험 모델을 이용한 컴퓨터 시뮬레이션(computer simulation)의 가상 비행 데이타와 차이를 나타내게 된다. 이러한 차이를 감소시키기 위하여 필터 이론을 적용하기 위해서는 수학적 계수 모델이 필요하게 된다. 본 연구에서는 풍동시험모델로부터 3가지의 수학적 모델을 가정하고 이를 이용하여 확장칼만필터(extended Kalman Filter: EKF)와 최대공산법(maximum likelihood method :ML)을 각각 적용시켰을때 추정된 계수치에 의한 가상비행데이타와, 풍동시험모델에 의한 가상비행데이타를 비교하여, 수학적 계수 모델 설정에 따른 각 알고리즘의 추정결과를 알아보고, 이에의해 계수 모델 설정의 방법 및 기준, 그리고 계수구조 설정에 따른 EKF와 ML의 성질을 조사하였다.

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Low Complexity Maximum-likelihood Decoder for VBLAST-STBC scheme using non-square O-STBC code rate $\frac{3}{4}$

  • Pham Van-Su;Le Minh-Tuan;Mai Linh;Yoon Gi-Wan
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2006.05a
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    • pp.107-110
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    • 2006
  • This work presents a low complexity maximum-likelihood decoder for signal detection in VBLAST-STBC system, which employs non-square O-STBC code rate 3/4. By stacking received symbols from different received symbolduration and applying QR decomposition resulting the special format of upper triangular matrix R, the proposed decoder is able to provide not only ML-like BER performance but also very low computational load. The low computational load and ML-like BER performance properties of the proposed decoder are verified by computer simulations.

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