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JPEG2000中9/7离散小波变换二进制系数实现

9/7 Discrete Wavelet Transform with Binary Coefficients in JPEG2000

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【作者】 刘在德郑南宁刘跃虎兰旭光

【Author】 Liu Zaide,Zheng Nanning,Liu Yuehu,Lan Xuguang (School of Electronics and Information Engineering, Xi′an Jiaotong University, Xi′an 710049, China)

【机构】 西安交通大学电子与信息工程学院西安交通大学电子与信息工程学院 西安71 0 0 49西安 71 0 0 49西安 71 0 0 49

【摘要】 基于实数的二进制表示法,把CDF(Cohen,DaubechiesandFeauveau)9/7双正交小波基的提升系数化为二进制,采用简单的移位-加操作代替结构复杂的浮点乘法器,从而实现了JPEG2000中9/7离散小波变换的定点计算.相对于浮点计算法,移位-加操作最大的优点是计算简单,特别易于超大规模集成电路实现,因而使硬件实时处理图像信号成为可能.实验仿真结果表明:在低压缩比的情况下,用移位-加操作重构的图像,其峰值信噪比(PSNR)只比浮点法低0.10dB,当压缩比增大时,其PSNR值略好于浮点法.

【Abstract】 Based on the binary representation for real number, the lifting coefficients of the 9/7 biorthogonal wavelet filter pair of CDF(Cohen, Daubechies and Feauveau) are expressed in binary representation.A simple shift-add operation is used to substitute for the multiplier with complicated architecture operating on floating-point, so that the 9/7 discrete wavelet transform in JPEG2000 is implemented through fixed-point computing. Compared with the floating-point computing method, the shift-add operation is simpler, and can be implemented easily by VLSI, which enables the real-time image processing to be realized by hardware. The simulation results show that, in the case of low compression ratio, the PSNR (peak signal-to-noise ratio) of the reconstructed image by the shift-add operation is only 0.1dB lower than the floating-point computing method. When the compression ratio is high, our method is a little superior to the latter.

【基金】 国家自然科学基金优秀创新研究群体资助项目(60024301);国家"八六三"基金资助项目(2002AA1Z1440;2002AA135150).
  • 【文献出处】 西安交通大学学报 ,Journal of Xi’an Jiaotong University , 编辑部邮箱 ,2003年12期
  • 【分类号】TN919.81
  • 【被引频次】22
  • 【下载频次】281
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