A super-exponential deflation method incorporated with higher-order correlations for blind deconvolution of MIMO linear systems

The multichannel blind deconvolution of finite-impulse response (FIR) or infinite-impulse response (IIR) systems is investigated using the multichannel super-exponential deflation methods (MSEDMs). In the existing MSEDM, the so-called “second-order correlation method” is incorporated in order to estimate the contributions of an extracted source signal to the channel outputs. We propose a new MSEDM using higher-order correlations instead of second-order correlations to reduce the computational complexity in terms of multiplications and to accelerate the performance of deconvolution. Computer simulations show that the proposed method based on higher-order correlations is better than the existing method based on second-order correlations in the noiseless case or a noisy case.