A complete factorization of paraunitary matrices with pairwise mirror-image symmetry in the frequency domain
نویسندگان
چکیده
منابع مشابه
A complete factorization of paraunitary matrices with pairwise mirror-image symmetry in the frequency domain
Abstmct-The problem of designiiag orthonormal (paraunitary) filter banks has been addressed in the past. Several structures have been reported for implementing such systems. One of the structur es reported imposes a pairwise mirror-image symmetry constraint on the frequency responses of the analysis (and synthesis) filters around 7r/2. This shveture requires fewer multipliers, and the design ti...
متن کاملOn factorization of M-channel paraunitary filterbanks
We systematically investigate the factorization of causal finite impulse response (FIR) paraunitary filterbanks with given filter length. Based on the singular value decomposition of the coefficient matrices of the polyphase representation, a fundamental order-one factorization form is first proposed for general paraunitary systems. Then, we develop a new structure for the design and implementa...
متن کاملParaunitary Matrices
Design methods for paraunitary matrices from complete orthogonal sets of idempotents and related matrix structures are presented. These include techniques for designing non-separable multidimensional paraunitary matrices. Properties of the structures are obtained and proofs given. Paraunitary matrices play a central role in signal processing, in particular in the areas of filterbanks and wavelets.
متن کاملOn the WZ Factorization of the Real and Integer Matrices
The textit{QIF} (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ} factorization. The WZ factorization can be faster than the textit{LU} factorization because, it performs the simultaneous evaluation of two columns or two rows. Here, we present a method for computing the real and integer textit{WZ} and textit{ZW} factoriz...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 1995
ISSN: 1053-587X
DOI: 10.1109/78.376855