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A β encoder is an Analog-to-Digital (A/D) converter whose dynamics is governed by (β, α) map. The most important feature of the β encoder is that it is robust to fluctuation of the threshold value for... quantization as well as the fluctuation of the value of β. Because of this property, the β encoder can be implemented with low-precision elements and thus realized by an extremely small circuit. Hirata et.al proposed a random number generator using a β encoder followed by a kind of shift register circuit. They showed that random numbers generated by such a circuit can pass the National Institute of Standards and Technology (NIST) Statistical Test Suite. We recently proposed another method for converting the output sequences from the β encoder to binary sequences that can be regarded as independent and identically distributed (i.i.d.) random variables with equal probability. In the proposed method, we try to find a binary expansion of an input value x that is recovered from a β encoder’s output sequence. We verified that binary sequences generated from a β encoder followed by the proposed method can pass the NIST Statistical Test Suite. It is shown that the proposed method is robust to the fluctuation of the value of β.続きを見る
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