General solution of certain matrix equations arising in filter design applications

@inproceedings{Jimnez2010GeneralSO,
  title={General solution of certain matrix equations arising in filter design applications},
  author={Mar{\'i}a Elena Dominguez Jim{\'e}nez},
  year={2010}
}
Keywords: Toeplitz matrices Spectral factorization Paraunitary filters Filter design In this work we present the explicit expression of all rectangular Toeplitz matrices B, C which verify the equation BB H + CC H = al for some a > 0. This matrix equation arises in some signal processing problems. For instance, it appears when designing the even and odd components of paraunitary filters, which are widely used for signal compression and denoising purposes. We also point out the relationship… CONTINUE READING