中值濾波算法在MPSK信號(hào)非線性頻率估計(jì)中的應(yīng)用研究
Applying Median Filtering Algorithm to Nonlinear Frequency Estimation of MPSK Modulated Signals
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摘要: 該文基于非線性頻率估計(jì)算法，通過對(duì)疊加了高斯分布白噪聲接收信號(hào)的非線性變換分析。提出將中值濾波算法應(yīng)用于載波頻率估計(jì)之中的思想。同時(shí)，運(yùn)用蒙特卡洛(MonteCarlo)仿真手段對(duì)其進(jìn)行了驗(yàn)證。結(jié)果表明：在非線性頻率估計(jì)中運(yùn)用中值濾波算法后，其估計(jì)的均方誤差較之運(yùn)用均值濾波算法有很大的改善。
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關(guān)鍵詞:
- 中值濾波算法;非線性頻率估計(jì);MPSK信號(hào)
Abstract: noise, which is added to the received signals are analyzed. And the idea of applying median filtering algorithm to nonlinear frequency estimation is proposed. At the same time, Monte Carlo simulation is used to validate the idea. The results show that the Mean Square Error (MES) of frequency estimation using median filter is more perfect than using mean value filter. -
Tukey J W. Exploratory Data Analysis. Reading MA: Addision-Wesley, 1970: 212.[2]Viterbi A J, Viterbi A M. Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission[J]. IEEE Trans. on Info. Theory, 1983, IT-29(3): 543-551.[3]王欣,王德雋.離散信號(hào)的濾波[M].北京:電子工業(yè)出版社,2002,第7.3節(jié).[4]Gallagher N C, Wise G L. A theoretical analysis of the p.roperties of median filters[J]. IEEE Trans. on ASSP, 1981, ASSP-29(6): 1183-1188.[5]Fitch J P, Coyle E J, Gallagher N C. Median filtering by threshold decomposition[J]. IEEE Trans.on ASSP, 1984, ASSP-32(6): 1183-1188. -
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