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| ew Construction for 9/7 Wavelet Basis and Fast Implementation |
| Wang Qian①②; Lü Dong-qiang③; Li Jing②; Ge Bao-shan① |
| ①School of Computer Science and Engineering, Beihang University, Beijing 100083, China; ②61081 Army PLA, Beijing 100094, China;③The Fourth Institute of The Second Artillery Equipment Academy, Beijing 100085, China |
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Abstract Fast implementation of CDF9/7 wavelet is strictly retained for its complex coefficient. This paper constructs a new biorthogonal and lifting-based wavelet model with parameters. The new wavelet basis of rational number proposed is adapted to shift operation with the same compression performance to CDF9/7 by using energy concentration and iterative searching algorithm. One multiplication can be implemented by one addition and shift in the hardware design. It amounts to the original calculation quantity of 25% and its precision is not influenced by the word length. The 4 level pipelined architecture of one dimensional transform is demonstrated on the FPGA. Compared with the related design, it reduces half resource requirement and improves the working frequency of system prominently.
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Received: 24 March 2008
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2009, Vol. 31 
