| Summary: | 碩士 === 大同工學院 === 電機工程研究所 === 81 === The Fermat number transform (FNT) is a promising candidate for
error control coding and filtering applications for its integer
arithematic and low complexity. It needs only some adders and
shift register, no multiplier that cost a large amount of
computing time is acquired. In this thesis, by taking the
advantages of FNT, we develop one kind of error control coding
scheme which has very fast encoding and decoding speed. As to
the error correcting capacity, FNT method may correct one bit
more than others. With these merits, the data can be
transmitted more correctly and rapidly. Finally, by connecting
this coding system with the fast filtering system which is
developed by using modified Fermat number trabsform (MFNT), we
can obtain the filtered data fast and correctly.
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