T. Kida et Y. Kida, CONSIDERATION ON THE OPTIMUM INTERPOLATION AND DESIGN OF LINEAR-PHASEFILTERBANKS WITH HIGH ATTENUATION IN STOP BANDS, IEICE transactions on fundamentals of electronics, communications and computer science, E81A(2), 1998, pp. 275-287
Citations number
12
Categorie Soggetti
Engineering, Eletrical & Electronic","Computer Science Hardware & Architecture","Computer Science Information Systems
In the literatures[5] and [10], a systematic discussion is presented w
ith respect to the optimum interpolation of multi-dimensional signals.
However, the measures of error in these literatures are defined only
in each limited block separately. Further, in these literatures, most
of the discussion is limited to theoretical treatment and, for example
, realization of higher order linear phase FIR filter bank is not cons
idered. In this paper, we will present the optimum interpolation funct
ions minimizing various measures of approximation error simultaneously
. Firstly, we outline necessary formulation for the time-limited inter
polation functions psi(m)(t) (m = 0, 1,..., M-I) realizing the optimum
approximation in each limited block separately, where m are the index
numbers for analysis filters. Secondly, under some assumptions, we wi
ll present analytic or piece-wise analytic interpolation functions phi
(m)(t) minimizing various measures of approximation error defined at d
iscrete time samples n = 0, +/-1,+/-2,.... In this discussion, phi(m)(
n) are equal to psi(m),(n) n = 0, +/-1, +/-2,.... Since psi(m)(t) are
time-limited, phi(m)(n) vanish outside of finite set of n. Hence, in d
esigning discrete filter bank, one can use FIR filters if one wants to
realize discrete synthesis filters which impulse responses are phi(m)
(n). Finally, we will present one-dimensional linear phase M channel F
IR filter bank with high attenuation characteristic in each stop band.
In this design, we adopt the cosine-sine modulation initially, and th
en, use the iterative approximation based on the reciprocal property.