@misc{Wawryn_Krzysztof_(1952-_)_2-D, author={Wawryn, Krzysztof (1952- ) and Poczekajło, Paweł}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={A synthesis method for designing two-dimensional lossless finite impulse response (FIR) filters for various digital signal processing tasks is proposed. The synthesis method is based on using a 2-D embedding approach to obtain the paraunitary transfer function matrix of the lossless FIR filter. The elements of the paraunitary transfer function matrix are the transfer function of a given lossy FIR structure and the transfer functions for its complementary structures.}, abstract={The embedding method is used to design complementary FIR filter structures for several known lossy FIR filters. The lossless FIR filter matrix obtained in this article has a size of 3 × 1 and satisfies the paraunitary conditions. The conditions are described by a set of nonlinear equations. A modified Newton method is used to solve this set of equations. The proposed design method is used to determine the lossless structures of two-dimensional FIR filters for various digital processing tasks.}, type={artykuł}, title={2-D lossless FIR filter design using synthesis of the paraunitary transfer function matrix}, keywords={lossless system, paraunitary transfer function matrix, FIR filter, embedding method}, }