on Algebraic Integer Encoding Scheme
Khan A. Wahid, Vassil S. Dimitrov, GRAHAM A. JULLIEN, Wael Maged Badawy · 2002
In this paper a new and novel encoding scheme of Daubechies wavelet coeflcients for implementing Discrete Wavelet Transform based on algebraic integer is proposed. This encoding technique eliminates the requirements to approximate the transformation matrix elements. Instead of approximating the matrix coefficients, we are able to obtain the exact representations for them. As a result, we achieve error-free calculations up to the final reconstruction step where we can choose an approximate substitution precision based on hardware/accuracy trade-ofl A comparison between Daubechies 4 and 6 coef- ficients is also performed. The last part of this paper demonstrates that the new encod- ing technique oflers better performance compared to the classical binary Cfured-point binary) design and it is also very well suited for high-speed VLSI implementation.