A Flexible and Simple Lossless DWT Filter Bank Using a MAXFLAT FIR Half-Band Filter
This paper describes a simple, lossless and computationally efficient two-band single (s-) filter bank that creates an opposite band output by subtracting the primary filtered data from the original data. For computationally efficient and error-free s-filter bank achievement, a maximally flat (MAXFL...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-09-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/12/18/9166 |
| _version_ | 1797491507219922944 |
|---|---|
| author | Daewon Chung Woon Cho Yunsun Kim Joonhyeon Jeon |
| author_facet | Daewon Chung Woon Cho Yunsun Kim Joonhyeon Jeon |
| author_sort | Daewon Chung |
| collection | DOAJ |
| description | This paper describes a simple, lossless and computationally efficient two-band single (s-) filter bank that creates an opposite band output by subtracting the primary filtered data from the original data. For computationally efficient and error-free s-filter bank achievement, a maximally flat (MAXFLAT) half-band filter with zero odd-order coefficients is characterized from a unique perfect reconstruction condition, and an explicit impulse–response formula (for non-zero integer coefficients of even order) is derived in a closed form of the filter. The examples are shown to provide a complete and accurate solution for the design of such s-filter banks. In addition, the effectiveness of the proposed s-filter banks is clearly verified by comparing the lossless 5/3 and lossy 9/7 filter banks (in the JPEG2000). The simulation results show that the s-filter banks lead to better performance than the JPEG2000 filter banks using two filters although allowing low computational complexity of less than 50%. This new approach is shown to provide significant advantages over existing lossless discrete wavelet transform (DWT) filter banks in both design flexibility and computational complexity. |
| first_indexed | 2024-03-10T00:49:26Z |
| format | Article |
| id | doaj.art-dfa8e606597444aeb6b0a1816301d971 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T00:49:26Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-dfa8e606597444aeb6b0a1816301d9712023-11-23T14:54:00ZengMDPI AGApplied Sciences2076-34172022-09-011218916610.3390/app12189166A Flexible and Simple Lossless DWT Filter Bank Using a MAXFLAT FIR Half-Band FilterDaewon Chung0Woon Cho1Yunsun Kim2Joonhyeon Jeon3Division of Electronics & Electrical Engineering, Dongguk University-Seoul, Seoul 04620, KoreaDivision of Electronics & Electrical Engineering, Dongguk University-Seoul, Seoul 04620, KoreaDivision of Electronics & Electrical Engineering, Dongguk University-Seoul, Seoul 04620, KoreaDivision of Electronics & Electrical Engineering, Dongguk University-Seoul, Seoul 04620, KoreaThis paper describes a simple, lossless and computationally efficient two-band single (s-) filter bank that creates an opposite band output by subtracting the primary filtered data from the original data. For computationally efficient and error-free s-filter bank achievement, a maximally flat (MAXFLAT) half-band filter with zero odd-order coefficients is characterized from a unique perfect reconstruction condition, and an explicit impulse–response formula (for non-zero integer coefficients of even order) is derived in a closed form of the filter. The examples are shown to provide a complete and accurate solution for the design of such s-filter banks. In addition, the effectiveness of the proposed s-filter banks is clearly verified by comparing the lossless 5/3 and lossy 9/7 filter banks (in the JPEG2000). The simulation results show that the s-filter banks lead to better performance than the JPEG2000 filter banks using two filters although allowing low computational complexity of less than 50%. This new approach is shown to provide significant advantages over existing lossless discrete wavelet transform (DWT) filter banks in both design flexibility and computational complexity.https://www.mdpi.com/2076-3417/12/18/9166lossless two-band filter bankwavelet transformDWT filter bankquadrature mirror filter |
| spellingShingle | Daewon Chung Woon Cho Yunsun Kim Joonhyeon Jeon A Flexible and Simple Lossless DWT Filter Bank Using a MAXFLAT FIR Half-Band Filter Applied Sciences lossless two-band filter bank wavelet transform DWT filter bank quadrature mirror filter |
| title | A Flexible and Simple Lossless DWT Filter Bank Using a MAXFLAT FIR Half-Band Filter |
| title_full | A Flexible and Simple Lossless DWT Filter Bank Using a MAXFLAT FIR Half-Band Filter |
| title_fullStr | A Flexible and Simple Lossless DWT Filter Bank Using a MAXFLAT FIR Half-Band Filter |
| title_full_unstemmed | A Flexible and Simple Lossless DWT Filter Bank Using a MAXFLAT FIR Half-Band Filter |
| title_short | A Flexible and Simple Lossless DWT Filter Bank Using a MAXFLAT FIR Half-Band Filter |
| title_sort | flexible and simple lossless dwt filter bank using a maxflat fir half band filter |
| topic | lossless two-band filter bank wavelet transform DWT filter bank quadrature mirror filter |
| url | https://www.mdpi.com/2076-3417/12/18/9166 |
| work_keys_str_mv | AT daewonchung aflexibleandsimplelosslessdwtfilterbankusingamaxflatfirhalfbandfilter AT wooncho aflexibleandsimplelosslessdwtfilterbankusingamaxflatfirhalfbandfilter AT yunsunkim aflexibleandsimplelosslessdwtfilterbankusingamaxflatfirhalfbandfilter AT joonhyeonjeon aflexibleandsimplelosslessdwtfilterbankusingamaxflatfirhalfbandfilter AT daewonchung flexibleandsimplelosslessdwtfilterbankusingamaxflatfirhalfbandfilter AT wooncho flexibleandsimplelosslessdwtfilterbankusingamaxflatfirhalfbandfilter AT yunsunkim flexibleandsimplelosslessdwtfilterbankusingamaxflatfirhalfbandfilter AT joonhyeonjeon flexibleandsimplelosslessdwtfilterbankusingamaxflatfirhalfbandfilter |