sorry, we can't preview this file

...but you can still download cqu_7496+SOURCE1+SOURCE1.2
cqu_7496+SOURCE1+SOURCE1.2 (8.74 kB)

Frame-theory-based analysis and design of oversampled filter banks : direct computational method

Download (8.74 kB)
journal contribution
posted on 06.12.2017, 00:00 by Li ChaiLi Chai, J Zhang, C Zhang, E Mosca
This paper studies the frames corresponding to oversampled filter banks (FBs). For this class of FB frames, we present a state-space parameterization of perfect reconstruction FB frames and explicit and numerically efficient formulas to compute the tightest frame bounds, to obtain the dual FB frame, and to construct a tight (paraunitary) FB frame from a given untight (nonparaunitary) FB frame. The derivation uses well-developed techniques from modern control theory, which results in the unified formulas for generic infinite-impulse-response (IIR) and finite-impulse-response (FIR) FBs. These formulas involve only algebraic manipulations of real matrices and can be computed efficiently, reliably, and exactly without the approximation required in the existing methods for generic FBs. The results provide a unified framework for frame-theory-based analysis and systematic design of oversampled filter banks.

Funding

Category 2 - Other Public Sector Grants Category

History

Volume

55

Issue

2

Start Page

507

End Page

519

Number of Pages

13

ISSN

1053-587X

Location

Piscataway, United States

Publisher

Institute of Electrical and Electronics Engineers Inc

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Monash University; Nanyang Technological University; Not affiliated to a Research Institute; Universityá di Firenze, Italy;

Era Eligible

Yes

Journal

IEEE transactions on signal processing.