The aliasing probability was analyzed for MISRs when the error probability for each input was different. A closed form expression was derived by applying the complete weight distributions of linear codes over a Galois field and its dual codes. The aliasing probability for MISRs characterized by non-primitive polynomials was also analyzed. The inner product for binary representation of symbols was used instead of multiplication over a Galois field. The results show the perfect expression for analyzing the aliasing probability of MISRs.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Kazuhiko IWASAKI, Sandeep K. GUPTA, Prawat NAGVAJARA, Tadao KASAMI, "Analysis of Aliasing Probability for MISRs by Using Complete Weight Distributions" in IEICE TRANSACTIONS on Fundamentals,
vol. E78-A, no. 12, pp. 1691-1698, December 1995, doi: .
Abstract: The aliasing probability was analyzed for MISRs when the error probability for each input was different. A closed form expression was derived by applying the complete weight distributions of linear codes over a Galois field and its dual codes. The aliasing probability for MISRs characterized by non-primitive polynomials was also analyzed. The inner product for binary representation of symbols was used instead of multiplication over a Galois field. The results show the perfect expression for analyzing the aliasing probability of MISRs.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e78-a_12_1691/_p
Copy
@ARTICLE{e78-a_12_1691,
author={Kazuhiko IWASAKI, Sandeep K. GUPTA, Prawat NAGVAJARA, Tadao KASAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of Aliasing Probability for MISRs by Using Complete Weight Distributions},
year={1995},
volume={E78-A},
number={12},
pages={1691-1698},
abstract={The aliasing probability was analyzed for MISRs when the error probability for each input was different. A closed form expression was derived by applying the complete weight distributions of linear codes over a Galois field and its dual codes. The aliasing probability for MISRs characterized by non-primitive polynomials was also analyzed. The inner product for binary representation of symbols was used instead of multiplication over a Galois field. The results show the perfect expression for analyzing the aliasing probability of MISRs.},
keywords={},
doi={},
ISSN={},
month={December},}
Copy
TY - JOUR
TI - Analysis of Aliasing Probability for MISRs by Using Complete Weight Distributions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1691
EP - 1698
AU - Kazuhiko IWASAKI
AU - Sandeep K. GUPTA
AU - Prawat NAGVAJARA
AU - Tadao KASAMI
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E78-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 1995
AB - The aliasing probability was analyzed for MISRs when the error probability for each input was different. A closed form expression was derived by applying the complete weight distributions of linear codes over a Galois field and its dual codes. The aliasing probability for MISRs characterized by non-primitive polynomials was also analyzed. The inner product for binary representation of symbols was used instead of multiplication over a Galois field. The results show the perfect expression for analyzing the aliasing probability of MISRs.
ER -