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Estimation of a Filtered Marked Poisson Process from Noisy Observations with Applications to Signal Processing.

机译：从噪声观测中估计滤波后的标记泊松过程及其在信号处理中的应用。

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摘要

The problem of estimating the arrival times, amplitudes, and phases of an unknown number of signals in noise is treated. The signals are assumed to have a common, known waveform. A Bayesian model using a Poisson prior for the arrival times is specified. and a real time algorithm for computing the posterior mode is developed. Alternatively, the procedure may be looked upon as a penalized likelihood estimator with a penalty team which is a generalized form of Akaike's Information Critierion. Simulation results are presented which show that this approach can improve over classical, linear methods.

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作者
Cox, D. D.; Ehrenberg, J. E.;
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年度 1983
页码 1-41
总页数 41
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Statistical analysis; Mathematical filters; Signal processing; Maximum likelihood estimation; Bayes theorem; Time series analysis; Algorithms; Extraction; Waveforms; Sonar signals; Radar signals; Combinatorial analysis; Signal to noise ratio; Overlap; Computations; Arrival; Pulse amplitude; Phase; Stochastic processes; Mathematical models; Noisy data; Akalkes information criterion;

机译：统计分析;数学滤波器;信号处理;最大似然估计;贝叶斯定理;时间序列分析;算法;提取;波形;声纳信号;雷达信号;组合分析;信噪比;重叠;计算;到达;脉冲幅度;相位;随机过程;数学模型;噪声数据; akalkes信息准则;

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专利

1. Discrete-time estimation of a Markov chain with marked pointprocess observations. Application to Markovian jump filtering [J] . Allam S., Dufour F., Bertrand P. IEEE Transactions on Automatic Control . 2001,第6期

机译：带有标记点过程观测值的马尔可夫链的离散时间估计。在马尔可夫跳跃滤波中的应用
2. Filtering with marked point process observations via poisson chaos expansion [J] . Sun W., Zeng Y., Zhang S. Applied mathematics and optimization . 2013,第3期

机译：通过泊松混沌展开以标记点过程观测值进行过滤
3. Dual optimal filters for parameter estimation of a multivariate autoregressive process from noisy observations [J] . Jamoos A., Grivel E., Shakarneh N., Signal Processing, IET . 2011,第5期

机译：从噪声观测值估计多元自回归过程参数的双重最优滤波器
4. Application of change detection technique to ultrasound signal processing. Use of spectral parametric estimation, time-frequency and wavelet [C] . Femmam, S., MSirdi, . 1998

机译：变化检测技术在超声信号处理中的应用。使用频谱参数估计，时频和小波
5. Signal estimation techniques using Lp-norm optimal stack filters with applications to image and video processing. [D] . Savin, Cristian Emanuel. 1997

机译：使用Lp范数最佳堆栈滤波器的信号估计技术及其在图像和视频处理中的应用。
6. Robust heart rate estimation from multiple asynchronous noisy sources using signal quality indices and a Kalman filter [O] . Q Li, R G Mark, G D Clifford -1

机译：使用信号质量指标和卡尔曼滤波器从多个异步噪声源进行可靠的心率估计
7. Linear time-invariant space-variant filters and the WKB approximation with applications to underwater acoustic signal processing. [O] . Vos Jan 1984

机译：线性时不变空间变量滤波器和WKB近似及其在水下声信号处理中的应用。
8. Estimation of a Filtered Marked Poisson Process from Noisy Observations with Applications to Signal Processing [R] . Cox, D. D., Ehrenberg, J. E. 1983

机译：从噪声观测中估计滤波后的标记泊松过程及其在信号处理中的应用

Estimation of a Filtered Marked Poisson Process from Noisy Observations with Applications to Signal Processing.

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