IEICE TRANSACTIONS on Fundamentals
Higher Order Spectral Density Nulls and Spectral Lines
Summary :
Codes having order-K spectral density nulls, i.e., codes such that the power spectral density of the encoded sequences and its first 2K-1 derivatives vanish at rational submultiples f of the symbol frequency are investigated. Several necessary and sufficient conditions for a code to have an order-K spectral density null at f are given. A lower bound on the minimum Euclidean distance of a code with an integer alphabet and with an order-K spectral density null also is derived. Canonical diagrams for higher order spectral density nulls and nonzero spectral lines are introduced.
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- IEICE TRANSACTIONS on Fundamentals Vol.E74-A No.9 pp.2531-2539
- Publication Date
- 1991/09/25
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- Special Section PAPER (Special Issue on Information Theory and Its Applications)
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Hiroshi KAMABE, "Higher Order Spectral Density Nulls and Spectral Lines" in IEICE TRANSACTIONS on Fundamentals,
vol. E74-A, no. 9, pp. 2531-2539, September 1991, doi: .
Abstract: Codes having order-K spectral density nulls, i.e., codes such that the power spectral density of the encoded sequences and its first 2K-1 derivatives vanish at rational submultiples f of the symbol frequency are investigated. Several necessary and sufficient conditions for a code to have an order-K spectral density null at f are given. A lower bound on the minimum Euclidean distance of a code with an integer alphabet and with an order-K spectral density null also is derived. Canonical diagrams for higher order spectral density nulls and nonzero spectral lines are introduced.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e74-a_9_2531/_p
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@ARTICLE{e74-a_9_2531,
author={Hiroshi KAMABE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Higher Order Spectral Density Nulls and Spectral Lines},
year={1991},
volume={E74-A},
number={9},
pages={2531-2539},
abstract={Codes having order-K spectral density nulls, i.e., codes such that the power spectral density of the encoded sequences and its first 2K-1 derivatives vanish at rational submultiples f of the symbol frequency are investigated. Several necessary and sufficient conditions for a code to have an order-K spectral density null at f are given. A lower bound on the minimum Euclidean distance of a code with an integer alphabet and with an order-K spectral density null also is derived. Canonical diagrams for higher order spectral density nulls and nonzero spectral lines are introduced.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Higher Order Spectral Density Nulls and Spectral Lines
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2531
EP - 2539
AU - Hiroshi KAMABE
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E74-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1991
AB - Codes having order-K spectral density nulls, i.e., codes such that the power spectral density of the encoded sequences and its first 2K-1 derivatives vanish at rational submultiples f of the symbol frequency are investigated. Several necessary and sufficient conditions for a code to have an order-K spectral density null at f are given. A lower bound on the minimum Euclidean distance of a code with an integer alphabet and with an order-K spectral density null also is derived. Canonical diagrams for higher order spectral density nulls and nonzero spectral lines are introduced.
ER -
English
