Cross Moments and Their Applications
Summary :
The waveform moments are used for analyzing the various types of signal waves. The ordinary moments can't properly express the characteristics of the given signal sequence, because they are calculated with simple summation formulas of the original signal values and the positive and negative values may cancel each other. So we define the power moments which utilize the square of signal in order to prevent the above defect. Moreover, the cross moments which evaluate the product of signals are derived as more generalized definitions. The cross moments can evaluate not only the characteristics of signal power but also the relations between two signals. Further, we extend the cross moments to the blockwise cross moments and the multicross moments, and then derive the corresponding expressions in frequency domain. Finally, we illustrate the usefulness of the cross moments with some application examples.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E73-E No.3 pp.373-378
- Publication Date
- 1990/03/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Foundations of Signal Theory and Communication Theory
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Toshinori YOSHIKAWA, Satoru KIJIMA, Izumi IIDA, "Cross Moments and Their Applications" in IEICE TRANSACTIONS on transactions,
vol. E73-E, no. 3, pp. 373-378, March 1990, doi: .
Abstract: The waveform moments are used for analyzing the various types of signal waves. The ordinary moments can't properly express the characteristics of the given signal sequence, because they are calculated with simple summation formulas of the original signal values and the positive and negative values may cancel each other. So we define the power moments which utilize the square of signal in order to prevent the above defect. Moreover, the cross moments which evaluate the product of signals are derived as more generalized definitions. The cross moments can evaluate not only the characteristics of signal power but also the relations between two signals. Further, we extend the cross moments to the blockwise cross moments and the multicross moments, and then derive the corresponding expressions in frequency domain. Finally, we illustrate the usefulness of the cross moments with some application examples.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e73-e_3_373/_p
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@ARTICLE{e73-e_3_373,
author={Toshinori YOSHIKAWA, Satoru KIJIMA, Izumi IIDA, },
journal={IEICE TRANSACTIONS on transactions},
title={Cross Moments and Their Applications},
year={1990},
volume={E73-E},
number={3},
pages={373-378},
abstract={The waveform moments are used for analyzing the various types of signal waves. The ordinary moments can't properly express the characteristics of the given signal sequence, because they are calculated with simple summation formulas of the original signal values and the positive and negative values may cancel each other. So we define the power moments which utilize the square of signal in order to prevent the above defect. Moreover, the cross moments which evaluate the product of signals are derived as more generalized definitions. The cross moments can evaluate not only the characteristics of signal power but also the relations between two signals. Further, we extend the cross moments to the blockwise cross moments and the multicross moments, and then derive the corresponding expressions in frequency domain. Finally, we illustrate the usefulness of the cross moments with some application examples.},
keywords={},
doi={},
ISSN={},
month={March},}
Copy
TY - JOUR
TI - Cross Moments and Their Applications
T2 - IEICE TRANSACTIONS on transactions
SP - 373
EP - 378
AU - Toshinori YOSHIKAWA
AU - Satoru KIJIMA
AU - Izumi IIDA
PY - 1990
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E73-E
IS - 3
JA - IEICE TRANSACTIONS on transactions
Y1 - March 1990
AB - The waveform moments are used for analyzing the various types of signal waves. The ordinary moments can't properly express the characteristics of the given signal sequence, because they are calculated with simple summation formulas of the original signal values and the positive and negative values may cancel each other. So we define the power moments which utilize the square of signal in order to prevent the above defect. Moreover, the cross moments which evaluate the product of signals are derived as more generalized definitions. The cross moments can evaluate not only the characteristics of signal power but also the relations between two signals. Further, we extend the cross moments to the blockwise cross moments and the multicross moments, and then derive the corresponding expressions in frequency domain. Finally, we illustrate the usefulness of the cross moments with some application examples.
ER -
English
