Converter, conversion method, program, and recording medium

Details Converter, conversion method, program, and recording medium Converter, conversion method, program, and recording medium

2011-08-09

2011-08-09

Williams, Howard (Department: 2819)

Coded data generation or conversion

Converter compensation

C341S144000

Reexamination Certificate

active

07994952

ABSTRACT:
Provided is a highly accurate converter and the like that makes up for the instability of circuit elements, by focusing on a relationship between the Markov chain and β conversion. A converter1that determines the decoded value of a sample value x based on L-bit number bi(i=1, . . . , L) includes a decoding section3to determine the decoded value xDfor γ=1/β (where 1<β<2) using equation (eq 1). Further, the converter1also includes a matrix estimation section5to determine the Markov transition matrix based on bi. Unlike a conventional method that pays attention to the lower limit of an interval, the decoding section3using equation (eq 1) pays attention to the center of the interval, and this point is a significant difference.xD=∑i=1L⁢bi⁢γi+γL+12⁢(1-γ).(eq⁢⁢1)

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patent: 2001-196932 (2001-07-01), None
Daubechies, I et al., A/D Conversion With Imperfect Quantizers, IEEE Transactions on Information Theory, Mar. 2006, vol. 52, No. 3, pp. 874-885.
Daubechies, I et al., Beta Expansions: A New Approach to Digitally Corrected A/D Conversion, IEEE International Symposium on Circuits and Systems, ISCAS 2002, May 2002, vol. 2 p. 784.
Daubechies, I et al., Robust and Practical Analog-to-Digital Conversion With Exponential Precision, IEEE Transactions on Information Theory, vol. 52, No. 8, Aug. 2006, p. 3533.
International Search Report for PCT/JP2008/062897 dated Sep. 2, 2008.

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