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Research on DOA Estimation and Tracking Approach Based on Monte Carol Method
Author: HuDeXiu
Tutor: ZhaoYongJun
School: PLA Information Engineering University
Course: Signal and Information Processing
Keywords: Array signal model Bayesian parameter estimation Monte Carlo method Particle filter DOA estimation and tracking
CLC: TN911.7
Type: Master's thesis
Year: 2010
Downloads: 136
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Abstract
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DOA (direction-of-arrival, DOA) estimation is an important research direction of the array signal processing, radar, communications, sonar, and many other military and areas of the national economy has a broad application prospects. Classic high-resolution DOA estimation algorithm applies only to DOA does not change over time, and the estimated accuracy and resolution to be improved. Start from the array signal processing model established based on Bayesian principles of DOA estimation and tracking model and Monte Carlo method of sampling methods and particle filter optimization calculations and solving the model, to solve the problem of DOA estimation and tracking to improve the estimation accuracy and resolution. The main work and results are summarized as follows: 1. Array signal processing model. Applies to both wide and narrow-band signals in time domain array signal model, discussed the relationship between the model and the bandwidth, interpolation interval, and extend it to any formation and time-varying array signal model based on the summary of existing, focusing on DOA occasions. 2. Monte Carlo sampling methods. Random Walks in the discussion MH (Metropolis Hastings) independent sampling and MH sampling two methods on the basis of proposed a new hybrid sampling method, and prove its convergence. The method is based on the sample pros and cons of the establishment of the samples, the evaluation function, evaluation function adaptively choose between two different the MH sampling methods to improve the convergence speed and precision of the estimates. Research and improved particle filter. First, in order to achieve the number of source and DOA joint tracking the introduction of reversible jump Markov chain Monte Carlo (Reversible Jump Markov Chain Monte Carlo, RJMCMC) method, and RJMCMC improve, effectively avoiding the RJMCMC process may result in state of-order problem. Second, in the process of particle filter improved RJMCMC, both joint tracking of the number of signal sources and DOA, but also avoid the RJMCMC method due to the state of order to disorder problems. Study Bayesian DOA estimation method based on a new hybrid sampling method to improve the convergence speed, resolution and accuracy of the estimated. Start from the array signal model is derived posterior probability density of the unknown parameters, integrating the relevant parameter, the posterior probability density parameters DOA; then the posterior probability density as the stationary distribution of the Markov chain, the use of mixed sampling The method of a sample, the sample mean as DOA estimates. The theoretical analysis and experimental results show that: the proposed method has a faster convergence speed and higher estimation accuracy than the average sampling methods; resolution and coherent signal processing capabilities increase. 5 DOA tracking method based on improved particle filter, to achieve the integration of joint tracking of the number of signal sources and DOA DOA estimation and beamforming. First two array signal according to the frequency domain and time domain model, estimates of the incident the desired signal, the tracking equation; and improved particle filter, get real-time DOA and estimates of the number of signal sources. Theoretical analysis and experimental results show that: the proposed algorithm can handle time-varying DOA estimation, we achieved a number of signal sources and DOA joint tracking, the DOA estimation and beamforming integration, and the estimated accuracy of the signal-to-noise ratio is high near carat United States Luo sector.
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