Alpha穩(wěn)定分布噪聲下基于柯西分布的相位鍵控信號(hào)碼速率最大似然估計(jì)
doi: 10.11999/JEIT141180
基金項(xiàng)目:
國(guó)家自然科學(xué)基金(61201286)，陜西省自然科學(xué)基金(2014JM8304)和中央高?；究蒲袠I(yè)務(wù)費(fèi)專項(xiàng)資金(K5051202013)資助課題
Cauchy Distribution Based Maximum-likelihood Estimator for Symbol Rate of Phase Shift Keying Signals
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摘要: 針對(duì)現(xiàn)有的相位鍵控(PSK)編碼信號(hào)碼速率估計(jì)方法在Alpha穩(wěn)定分布中性能嚴(yán)重退化的問題，該文提出一種基于柯西分布的碼速率最大似然估計(jì)(CMLE)新方法，該方法可同時(shí)估計(jì)碼速率與定時(shí)偏差。CMLE利用窗口法將信號(hào)劃分為定時(shí)偏差窗和多個(gè)寬度一定的非重疊且已同步的時(shí)域窗，每個(gè)窗只包含一個(gè)碼元符號(hào)；在Alpha穩(wěn)定分布噪聲下，利用窗中符號(hào)信息構(gòu)造了基于柯西分布的似然函數(shù)，可同時(shí)獲得定時(shí)偏差窗寬與碼元符號(hào)窗寬的最大似然估計(jì)。仿真結(jié)果表明，該方法能有效抑制Alpha穩(wěn)定分布噪聲并具有良好的參數(shù)估計(jì)性能。
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關(guān)鍵詞:
- 信號(hào)處理 /
- Alpha穩(wěn)定分布 /
- 柯西分布 /
- 相位鍵控編碼信號(hào) /
- 碼速率 /
- 最大似然估計(jì)(MLE)
Abstract: In order to solve the problem that the performance of existing algorithms for the symbol rate estimation of Phase Shift Keying (PSK) signals will significantly degrade in the Alpha stable noise environment, a novel Cauchy distribution based Maximum-Likelihood Estimator (CMLE) method for symbol rate of PSK signals is proposed. The parameters of the timing offset and the symbol rate can be estimated simultaneously through this method. The windowed procedure is utilized in the CMLE and the noise polluted PSK signal is divided into a timing offset window and the multiple windows with certain width which are non-overlapping and synchronized in the time domain, and only one code symbol is contained in each window; in the Alpha stable noise environment, the symbol in the window is utilized and a likelihood function based on Cauchy distribution is built, then the maximum-likelihood estimation of window width for the timing offset and the symbol rate can be achieved simultaneously. The simulation results show that the proposed method can suppress the Alpha stable noise efficiently and offer superior parameter estimation performance. -
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