A novel lifting algorithm for Daubechies wavelets using algebraic integers

The paper presents a lifting based algorithm to compute Daubechies-4 (D4) and Daubechies-6 (D6) Wavelet Transforms using a novel algebraic integer quantization (AIQ) technique. The complex transform filter coefficients are first mapped error-freely by algebraic integers, and then quantized using subband coding algorithm. The performance of the scheme is assessed by using several benchmark images and the results are compared in terms of PSNR and bit rate. Finally, both D4 and D6 architectures have been implemented on FPGA. The results show that the proposed AIQ-based implementations consume fewer resources and perform better than most existing techniques.