An MDL Algorithm for Detecting More Sources Than Sensors Using Outer-Products of Array Output

作者：Cheng Qi^*; Pal Piya; Tsuji Masashi; Hua Yingbo

来源：IEEE Transactions on Signal Processing, 2014, 62(24): 6438-6453.

DOI：10.1109/TSP.2014.2364019

• Array output
• detection
• MDL
• outer-product
• redundancy array

In this paper, we propose an algorithm for detecting the number M of Gaussian sources received by an array of a number N (N %26lt; M) of sensors. This algorithm is based on the minimum description length (MDL) principle using the outer-products of the array output. We show that as long as the covariance matrix of the array output has the full rank N, the co-variance matrix of a vectorized outer-product of the array output has the full rank N-squared, which meets a validity condition of the MDL algorithm. We show by simulation that the MDL algorithm can perform substantially better than some relevant algorithms. A necessary identifiability condition is also obtained, for uncorrelated sources.

• 出版日期2014-12-15