Generalized quadratic minimization and blind multichannel deconvolution

This paper deals with the problem of quadratic minimization subject to line ar equality constraints. Unlike the standard formulation, we assume the mos t general case of a possibly singular quadratic form, We explain that the e xisting formal solution to this problem has several drawbacks, Our new appr oach is free from most of these drawbacks. In particular, it has a simple i nterpretation and is relatively easy to implement. The practical importance of this result lies in its numerous applications: filter design, spectral analysis, direction finding, and blind deconvolution of multiple FIR channe ls, sere, we focus on the blind deconvolution application for which we pres ent a novel solution with enhanced performance.