| Presentation | 1999/7/22 Convex Projection Approach to Design of Two-Channel Linear Phase FIR QMF Banks in Magnitude Product Space Hiroshi HASEGAWA, Isao YAMADA, Kohichi SAKANIWA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Recently, Haddad et al. characterized required specifications for two-channel QMF banks by multiple constraint sets and they obtained a QMF bank with good performance by finding a point in the intersection of these constraint sets by using POCS (projection onto convex sets). Unfortunately, it is shown in this paper, the convergence of their method isn't guaranteed because one of their constraint sets is not convex. In this paper, we first introduce a notion of Magnitude Product Space in which a pair of the magnitude responses in analysis bank is simply expressed as a point. In this space, the constraint sets are formulated more briefly and it is shown that the power complementary condition is approximated by an appropriate closed convex set in multiple ring-shaped region. Furthermore, it becomes clear that a constraint set, which Haddad et al. defined to approximate the condition, is not convex. We propose a new design method that is adaptively modifying these convex sets and iteratively solve an optimization problem over the intersection of them by applying Hybrid Steepest Descent Method. The design specification is often too tight to be realized, hence these constraint sets may have no intersection, but our method has a merit of the guarantee of convergence to a solution which approximate the specification over a set of all realizable filters even if the intersection is empty. Finally, we also show our method realizes a QMF bank with better performance than that of Haddad et al.'s by a numerical example. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | two-channel linear phase FIR QMF bank / near perfect reconstruction / Hybrid Steepest Descent Method / Magnitude Product Space |
| Paper # | CS99-70 |
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| Conference Information | |
| Committee | CS |
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| Conference Date | 1999/7/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Communication Systems (CS) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Convex Projection Approach to Design of Two-Channel Linear Phase FIR QMF Banks in Magnitude Product Space |
| Sub Title (in English) | |
| Keyword(1) | two-channel linear phase FIR QMF bank |
| Keyword(2) | near perfect reconstruction |
| Keyword(3) | Hybrid Steepest Descent Method |
| Keyword(4) | Magnitude Product Space |
| 1st Author's Name | Hiroshi HASEGAWA |
| 1st Author's Affiliation | Dept. of Electrical and Electronic Eng., Tokyo Institute of Technology() |
| 2nd Author's Name | Isao YAMADA |
| 2nd Author's Affiliation | Dept. of Electrical and Electronic Eng., Tokyo Institute of Technology |
| 3rd Author's Name | Kohichi SAKANIWA |
| 3rd Author's Affiliation | Dept. of Electrical and Electronic Eng., Tokyo Institute of Technology |
| Date | 1999/7/22 |
| Paper # | CS99-70 |
| Volume (vol) | vol.99 |
| Number (no) | 200 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |