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Parameter Estimation Based on Phase Difference Algorithm

Rong Jian-gang

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Abstract

Based on further processing of fine frequency measurement structure in digital channel receiver, a phase difference algorithm used in signal parameter estimation is discussed in this paper. Firstly, the relative non-ambiguity phase difference algorithm based on the least square estimation model is analyzed. Secondly, the method for estimating the frequency of a complex sinusoid signal in additive complex white Gaussian noises and parameter estimation of linear frequency modulated signal are researched respectively. Finally, minimum mean square error analysis and numerical evaluation are carried out. The simulation results have shown that the parameters can be estimated effectively and accurately by using the method described, and the estimation mean square error can attain the Cramer-Rao bound at moderately high signal-to-noise rations. Furthermore, this algorithm can be implemented in hardware easily because there is no complicated operation.

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What this paper is about

Based on further processing of fine frequency measurement structure in digital channel receiver, a phase difference algorithm used in signal parameter estimation is discussed in this paper. Firstly, the relative non-ambiguity phase difference algorithm based on the least square estimation model is analyzed. Secondly, the method for estimating the frequency of a complex sinusoid signal in additive complex white Gaussian noises and parameter estimation of linear frequency modulated signal are researched respectively. Finally, minimum mean square error analysis and numerical evaluation are carried out. The simulation results have shown that the parameters can be estimated effectively and accurately by using the method described, and the estimation mean square error can attain the Cramer-Rao bound at moderately high signal-to-noise rations. Furthermore, this algorithm can be implemented in hardware easily because there is no complicated operation.

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Available abstract

Based on further processing of fine frequency measurement structure in digital channel receiver, a phase difference algorithm used in signal parameter estimation is discussed in this paper. Firstly, the relative non-ambiguity phase difference algorithm based on the least square estimation model is analyzed. Secondly, the method for estimating the frequency of a complex sinusoid signal in additive complex white Gaussian noises and parameter estimation of linear frequency modulated signal are researched respectively. Finally, minimum mean square error analysis and numerical evaluation are carried out. The simulation results have shown that the parameters can be estimated effectively and accurately by using the method described, and the estimation mean square error can attain the Cramer-Rao bound at moderately high signal-to-noise rations. Furthermore, this algorithm can be implemented in hardware easily because there is no complicated operation.

Key concepts: Algorithm, Additive white Gaussian noise, Mean squared error, Estimation theory, SIGNAL (programming language), Phase (matter), Mathematics, Channel (broadcasting)

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