online read us now
Paper details
Number 4 - December 2023
Volume 33 - 2023
2-D lossless FIR filter design using synthesis of the paraunitary transfer function matrix
Krzysztof Wawryn, Paweł Poczekajło
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. 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.
Keywords
lossless system, paraunitary transfer function matrix, FIR filter, embedding method