基于子空间投影的信道阶数盲估计算法

Blind channel order estimation algorithm based on subspace projection

根据联合阶数估计最小二乘平滑算法(J-LSS)中投影误差矩阵的特点,利用其零空间向量形成的特殊矩阵的秩与信道阶数的关系,分别构造2个阶数估计代价函数。将2个代价函数归一化后联合构建成新的代价函数,新的代价函数较使用单一代价函数提升了在低信噪比下的辨识率。仿真结果表明,与传统算法相比,该算法在较低的信噪比和小样本观测数据条件下,有很好的估计性能。

This paper proposes a blind channel order estimation algorithm based on subspace projection. In the basis of property of the projection error matrix in the Joint order detection and blind channel estimation by Least Squares Smoothing（J-LSS） algorithm and by exploiting the rank of the special matrix formed by the null space vectors of projection error matrix containing the channel order information, two order estimation cost function are constructed separately, and then these two normalized cost functions are jointed into a new one. The new cost function shows better performance under low Signal Noise Ratio （SNR） compared with just a single cost function mentioned above. The simulation proves that the proposed algorithm can realize the order estimation under low SNR and small sample observation data compared with traditional algorithms.