一種引入自適應動量項的變步長混沌信號盲分離算法
doi: 10.11999/JEIT160578 cstr: 32379.14.JEIT160578
基金項目:
國家自然科學基金(61671095, 61371164, 61275099)，信號與信息處理重慶市市級重點實驗室建設(shè)項目(CSTC2009CA2003)，重慶市教育委員會科研項目(KJ130524, KJ1600427, KJ1600429)
Variable-step Blind Source Separation Algorithm with Adaptive Momentum Item for Chaotic Signals
Funds:
The National Natural Science Foundation of China (61671095, 61371164, 61275099), The Project of Key Laboratory of Signal and Information Processing of Chongqing (CSTC2009CA2003), The Research Project of Chongqing Educational Commission (KJ130524, KJ1600427, KJ1600429)
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摘要: 該文針對混沌信號盲分離問題，提出一種改進盲分離算法。該算法利用信號分離評價指標來構(gòu)造函數(shù)實現(xiàn)步長和動量因子的自適應調(diào)整，然后將構(gòu)造函數(shù)代入盲分離算法中并引入自適應動量項。區(qū)別于大多數(shù)算法不對混合矩陣進行估計的問題，該算法用變步長函數(shù)迭代估計出混合矩陣，從而得到全局矩陣和估計評價指標，以此迭代更新步長和動量因子，最終得出分離矩陣。仿真表明，該算法依據(jù)估計評價指標構(gòu)造函數(shù)調(diào)整步長和動量因子方法是有效的，在平穩(wěn)和非平穩(wěn)環(huán)境下對混合混沌信號分離時都能達到收斂速度快且穩(wěn)態(tài)誤差小的效果；在混入色噪聲時，比傳統(tǒng)算法抗噪性能好，表明該文算法在混沌信號盲分離處理中有一定應用價值。Abstract: To solve the problem of blind source separation for chaotic signals, an improved blind separation algorithm is proposed. A function is constructed by signal separation evaluation index, which adaptively updates the step size and momentum factor, then substitutes the obtained variable step-size function into blind source separation algorithm and introduces the adaptive momentum item. Different from most algorithms which can not estimate the mixing matrix, the proposed algorithm estimates iteratively the mixing matrix by the variable step function, then the global matrix and the estimated evaluation can be obtained on which step and momentum factor are iteratively updated. Finally, the separation matrix is obtained. Simulations show that the algorithm is effective to adjust the step and momentum factor based on the estimated evaluation index constructor. In stationary and non-stationary environments, the algorithm has faster convergence speed and lower steady error for separating the mixed chaotic signals. When mixing color noise, the proposed algorithm is better than that of the traditional algorithm, which shows that the proposed algorithm has certain application value to the chaotic signal blind source separation processing.
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Key words:
- Blind source separation /
- EASI algorithm /
- Chaotic signals /
- Momentum factor /
- Variable-step
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