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A Note on Stone's Conjecture of Blind Signal Separation

adshlxie{at}scut.edu.cn, School of Electronics and Information Engineering, South China University of Technology, Guangzhou 510640, China

Zhaoshui He

he_shui{at}163.com, School of Electronics and Information Engineering, South China University of Technology, Guangzhou 510640, China

Yuli Fu

y.l.fu{at}163.com, School of Electronics and Information Engineering, South China University of Technology, Guangzhou 510640, China

Stone's method is one of the novel approaches to the blind source separation (BSS) problem and is based on Stone's conjecture. However, this conjecture has not been proved. We present a simple simulation to demonstrate that Stone's conjecture is incorrect. We then modify Stone's conjecture and prove this modified conjecture as a theorem, which can be used a basis for BSS algorithms.