A general formulation of modulated filter banks

Heller, P.N.; Karp, Tanja; Nguyen, Truong Q.

doi:10.1109/78.752597

Cited by 145 publications

(98 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the following, it is shown how the results for the critically subsampled case as stated in literature [7], [9] are related to the general solution presented in the last section.…”

Section: Pr Solution For Special Cases 1) Critically Subsampled Casementioning

confidence: 99%

“…Choosing as in (13), as in (16), and writing the delay as (21) leads to the expression for the product [9], [14] (…”

Section: B Pr Conditionsmentioning

confidence: 99%

“…1, where the analysis and synthesis filters and are derived from prototypes and , respectively, by cosine modulation. Previous work on PR cosine-modulated filter banks [1]- [9] has always addressed the critically subsampled case ( in Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Oversampled cosine-modulated filter banks with arbitrary system delay

Kliewer

Mertins

1998

IEEE Trans. Signal Process.

View full text Add to dashboard Cite

Abstract-In this paper, design methods for perfect reconstruction (PR) oversampled cosine-modulated filter banks with integer oversampling factors and arbitrary delay are presented. The system delay, which is an important parameter in realtime applications, can be chosen independently of the prototype lengths. Oversampling gives us additional freedom in the filter design process, which can be exploited to find FIR PR prototypes for oversampled filter banks with much higher stopband attenuations than for critically subsampled filter banks. It is shown that for a given analysis prototype, the PR synthesis prototype is not unique. The complete set of solutions is discussed in terms of the nullspace of a matrix operator. For example, oversampling allows the design of PR filter banks having unidentical prototypes (of equal and unequal lengths) for the analysis and synthesis stage. Examples demonstrate the increased design freedom due to oversampling. Finally, it is shown that PR prototypes being designed for the oversampled case can also serve as almost-PR prototypes for critically subsampled cosine-modulated pseudo QMF banks.

show abstract

“…In the following, it is shown how the results for the critically subsampled case as stated in literature [7], [9] are related to the general solution presented in the last section.…”

Section: Pr Solution For Special Cases 1) Critically Subsampled Casementioning

confidence: 99%

“…Choosing as in (13), as in (16), and writing the delay as (21) leads to the expression for the product [9], [14] (…”

Section: B Pr Conditionsmentioning

confidence: 99%

See 1 more Smart Citation

Oversampled cosine-modulated filter banks with arbitrary system delay

Kliewer

Mertins

1998

IEEE Trans. Signal Process.

View full text Add to dashboard Cite

show abstract

“…Recent progress in the analysis and design of BCM filter banks have been reported by several authors, see, for example, [18]- [21], [23]- [26], and [28]. Available design techniques for BCM filter banks now include the quadratic-constrained least-squares (QCLS) method [23], [20], [6] that minimizes the stopband energy of the PF subject to the PR constraints expressed as quadratic equalities in terms of the coefficients of the PF; the factorization-based method [19], [24], [25] that yields a parameterized realization in which the PR property is always ensured while minimizing the stopband energy of the PF in an unconstrained optimization setting; and the sequential design method [28] that is carried out by first designing a filter bank with a small number of channels and a relatively short filter length and then gradually increasing the number of channels as well as the filter length using a technique initiated in [5]. In addition, quadratic-constrained-optimization based algorithms [10] and fast design through window function optimization [11] [22] for orthogonal cosine-modulated (OCM) filter banks have been proposed.…”

Section: Introductionmentioning

confidence: 99%

“…The focus of this paper is primarily on developing two new optimization algorithms that are tailored to the time-domain formulation set forth in [23] so as to obtain improved designs relative to several existing methods. In the first algorithm, the design starts with an initial point that corresponds to the PF minimizing its stopband energy without the PR constraints.…”

Section: Introductionmentioning

confidence: 99%