Dual channel matched filter performance bound

Recently, we proposed a dual channel matched filtering system as a replacement for a single channel matched filtering system that requires a transformation that block diagonalizes the correlation matrix. In this paper, we analyze a suboptimal dual channel system that uses a non-block diagonalizing transformation. We provide a lower bound for the efficiency of the suboptimal dual channel system relative to the optimal system. We also propose a criterion for selecting the non-block diagonalizing transformation that appears to provide a reliable indication of the average efficiency.