Lattice Implementation of Nonuniform Filter Banks and Its Applications

• Project/Area Number: 12650393
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: 情報通信工学
• Research Institution: Keio University
• Principal Investigator: IKEHARA Masaaki Faculty of Science and Technology, Keio University, Associate Prof., 理工学部, 助教授 (00212796)
• Project Period (FY): 2000 – 2001
• Project Status: Completed (Fiscal Year 2001)
• Budget Amount: ¥2,500,000 (Direct Cost: ¥2,500,000); Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000); Fiscal Year 2000: ¥1,700,000 (Direct Cost: ¥1,700,000)
• Keywords: Nonuniform / Paraunitary / Filter Banks / Lattice Structure / Image Coding / 不等分割フィルタバンク / ラティス構造 / 線形位相

Research Abstract

Recently, Wavelet transforms have been used in the image coding, which are adopted as standard technology in JPEG2000 for still images and MPEG4 for video. The wavelet transforms are implemented as octave connection of 2-channel filter banks. However the computational complexity increases than DCT and the optimality is not clear for image coding. In this project, our purpose is to implement the nonuniform filter banks which is the generalized version of wavelet transform, while keeping the perfect reconstruction structurely using lattice stracture. To achieve the perfect reconstruction, the nonuniform filter banks are transformed into the uniform banks. The nonuniform filter banks are divided into two classes, one is the case that the decimation ratio is integer and other is the case that the decimation ratio is rarional. We discussed the both cases and presented the design method of generalized linear phase nonuniform filter banks and the lattice structure to achieve the perfect reconstruction structurely. Also we adapt the resulting nonuniform filter banks to image coding applications and confirm the validity of our project.

Research Products

• [Publications] 小林, 川田, 池原: "一般化線形位相パラコンタリ不等分割フィルタバンク"電子情報通信学会 技術研究報告. DSP2001. (2001)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] Kobayashi, Kawada, Ikehara: "Generalized Linear-Phase paraunitary Nonuniform Filter Banks GenLPPUNUFB"IEEE International Conference on Acoustics Speech and Signal Processing ICASSP 2002. (2002)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] Kobayashi, Kawada, Ikehara: "Generalized Linear Phase Paraunitary Nonuniform Filter Banks"IEICE Technical Reports DSP2001.
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] Kobayashi, Kawada, Ikehara: "Generalized Linear-Phase Paraunitary Nonuniform Filter Banks (GENLPPUNUFB)"IEEE International conf. on Acoustics Speech and signal Processing, ICASSP2001. (To be published).
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] 小林, 川田, 池原: "一般化線形位相パラコンタリ不等分割フィルタバンク"電子情報通信学会技術研究報告. DSP2001. (2001)
• [Publications] Kobayashi, Kawada, Ikehara: "Generalized Linear-Phase Paraunitary Norunitorm Filter-Banks(GenLPPUIVUFB)"IEEE International Conference on Acoustics Speech and Signal processing 2002 ICASSP2002. (2002)
• [Publications] 小林悠浩: "一般化線形位相パラコンタリ不等分割フィルタバンク"電子情報通信学会技術研究報告(DSP). 3月(発表予定). (2001)