Multi-Channel Multi-Variate Equalizer Design
Multidimensional Systems and Signal Processing
Deconvolution and preequalization with best delay LS inverse filters
Signal Processing - Signal processing in communications
Signal Processing - Special section: Distributed source coding
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Directional Multiscale Processing of Images Using Wavelets with Composite Dilations
Journal of Mathematical Imaging and Vision
IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP)
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Given p co-prime finite impulse response (FIR) filters hi ∈R(mh), it well known that there exist q i∈R(mq) such that Σihi*qi=δ. Importantly, this enables signal recovery from its convolutions with p⩾2 co-prime FIR filters by FIR filtering. We show that such qi exist almost surely if and only if mq⩾[(mh-1)/(p-1)], where [x] is the smallest integer greater than or equal to x. The results also provide conditions for full rank of certain key matrices arising in the blind multichannel deconvolution problem