Title :
A state-space approach to orthogonal digital filters
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., Bombay, India
fDate :
2/1/1991 12:00:00 AM
Abstract :
An algorithm for designing multi-input multi-output (MIMO) orthogonal digital filters is developed using a state-space approach. The algorithm consists of three parts: (i) orthogonal embedding, (ii) transformation of the embedded orthogonal transition matrix to the α-extended upper Hessenberg form; and (iii) factorization of this new form into Givens (planar) rotations. Appropriately interconnecting the rotors leads to the pipelined orthogonal filter structure. As a consequence of the approach, for the single-input, single-output (SISO) case, an essentially orthogonal structure is obtained for the inverse filter; only one of the Givens rotors is replaced by a hyperbolic rotor
Keywords :
digital filters; filtering and prediction theory; matrix algebra; pipeline processing; state-space methods; α-extended upper Hessenberg form; Givens rotors; MIMO; factorization; hyperbolic rotor; inverse filter; multi-input multi-output; orthogonal digital filters; orthogonal embedding; pipelined orthogonal filter structure; planar rotations; state-space approach; transformation; transition matrix; Algorithm design and analysis; Circuits and systems; Digital arithmetic; Digital filters; Finite impulse response filter; Integrated circuit interconnections; Limit-cycles; MIMO; Transfer functions; Transmission line matrix methods;
Journal_Title :
Circuits and Systems, IEEE Transactions on
