空频域量化误差最小的光学小波滤波器设计

Design of an Optical Wavelet Filter with Minimum Quantization Error both in Space Domain and Frequency Domain

通过理论分析和仿真计算,研究利用不同小波基构造的光学小波滤波器的量化误差,分析交换分解和重构滤波器对光学小波滤波器量化误差的影响。实验结果表明不同小波基的量化误差通常是不同的,具有最小空、频域量化误差的小波基是交换分解和重构滤波器后的5/3小波。根据光学小波滤波器的空、频域量化误差最小原则,基于提升算法,构造出空、频域量化误差最小的最优小波。

Through theoretical analysis and simulation, the quantization errors of optical wavelet filters constructed by different wavelet bases were studied, and the effects of the exchange of the decomposition wavelets with reconstruction wavelets on quantization errors were analyzed. The experimental results show that the quantization errors of different wavelet bases are usually different and the wavelet base of the minimum quantization error in space and frequency domain is 5/3 wavelet after exchanging the decomposition and reconstruction filters, According to the least quantization error criterion of optical wavelet filter in space domain and frequency domain, an optimal wavelet was constructed based on lifting algorithm.