摘要
由于MUSIC(MUltiple SIgnal Classification)算法需要大量的乘法运算和三角函数求值,导致其实时处理能力较弱。为此,该文首先对均匀线阵和均匀圆阵的阵列结构进行分析,提取导向矢量的一些性质。然后,利用Hermite矩阵的性质对复数乘法进行分解,再组建两个实值向量以减少乘法运算次数。最后,利用导向矢量的性质提出一种基于查表的新算法。新算法既没有三角函数求值运算,又不需要大量的存储空间。仿真实验结果表明新算法在没有改变MUSIC算法谱估计的效果的前提下,将MUSIC算法的运算速率提高了50倍以上。因此,新算法具有广阔的应用前景。
Because MUSIC （MUltiple Signal Classification） algorithm needs a large number of multiplications and trigonometric function evaluations, it is weak in the real time processing. This paper is aim at resolving above problem. Firstly, by analyzing the structural features of the uniform circular array and the uniform linear array, some properties of steering vector are extracted. Then, the properties of Hermite matrix are employed to decompose the complex multiplication, and then two real vectors are constructed to reduce the number of multiplications. Finally, with the properties of steering vector, a new Mgorithm based on look-up-table is proposed. The new algorithm neither has any trigonometric function evaluation, nor requires much memory space. The result of simulation experiments shows that the new algorithm raises the rate of MUSIC algorithm more than 50 times, while ensures the same estimated results. Therefore,the new algorithm has a wide applicatilon prospect.
基金
国家自然科学基金(61171170)资助课题
