Lattice Implementation of Nonuniform Filter Banks and Its Applications

非均匀滤波器组的格实现及其应用

• 批准号: 12650393
• 负责人: IKEHARA Masaaki
• 金额: $ 1.6万
• 依托单位: Keio University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12650393/
• 关键词: 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

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.

近年来，小波变换被广泛应用于图像编码中，并被JPEG2000（静止图像）和MPEG4（视频图像）标准所采用。小波变换被实现为2通道滤波器组的倍频程连接。然而，计算复杂度比DCT增加，并且对于图像编码的最优性不明确。在这个项目中，我们的目的是实现非均匀滤波器组，这是小波变换的广义版本，同时保持完美的重建结构使用格结构。为了达到完美的重建，非均匀滤波器组被转换成均匀的银行。将非均匀滤波器组分为两类，一类是抽取比为整数的情况，另一类是抽取比为整数的情况。讨论了这两种情况，并给出了广义线性相位非均匀滤波器组的设计方法和实现理想重构结构的格型结构。此外，我们适应由此产生的非均匀滤波器组的图像编码应用程序，并确认我们的项目的有效性。

项目成果

Kobayashi, Kawada, Ikehara: "Generalized Linear Phase Paraunitary Nonuniform Filter Banks"IEICE Technical Reports DSP2001.

Kobayashi、Kawada、Ikehara：“广义线性相位准一元非均匀滤波器组”IEICE 技术报告 DSP2001。

Kobayashi, Kawada, Ikehara: "Generalized Linear-Phase Paraunitary Nonuniform Filter Banks (GENLPPUNUFB)"IEEE International conf. on Acoustics Speech and signal Processing, ICASSP2001. (To be published).

Kobayashi、Kawada、Ikehara：“广义线性相位准一元非均匀滤波器组 (GENLPPUNUFB)”IEEE 国际会议。

Kobayashi, Kawada, Ikehara: "Generalized Linear-Phase paraunitary Nonuniform Filter Banks GenLPPUNUFB"IEEE International Conference on Acoustics Speech and Signal Processing ICASSP 2002. (2002)

Kobayashi、Kawada、Ikehara：“广义线性相位准一元非均匀滤波器组 GenLPPUNUFB”IEEE 国际声学语音和信号处理会议 ICASSP 2002。（2002 年）

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)

Yuhiro Kobayashi：“广义线性相位仿轮廓不等分滤波器组”IEICE 技术报告（DSP）（2001 年）。

Kobayashi, Kawada, Ikehara: "Generalized Linear-Phase Paraunitary Norunitorm Filter-Banks(GenLPPUIVUFB)"IEEE International Conference on Acoustics Speech and Signal processing 2002 ICASSP2002. (2002)

Kobayashi、Kawada、Ikehara：“广义线性相位准一元 Norunitorm 滤波器组（GenLPPUIVUFB）”IEEE 国际声学语音和信号处理会议 2002 ICASSP2002。