Abstract
The peak of the polynomial Wigner-Ville distribution (PWVD) is a method for providing an unbiased estimate of the instantaneous frequency (IF) for polynomial phase signals. The theoretical lower variance bound, assuming a continuous frequency variable, has been studied previously in [1]. However, due to the discretization of the PWVD required for computer implementation, there is also another theoretical lower variance bound which is a result of the discretization error. In this paper, we study the relationship between the discretization error bound and the theoretical lower variance bound and determine the minimum number of frequency samples required such that the theoretical lower variance bound can be attained.
| Original language | English |
|---|---|
| Title of host publication | 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings |
| DOIs | |
| Publication status | Published - 2007 |
| Event | 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007 - Sharjah, United Arab Emirates Duration: Feb 12 2007 → Feb 15 2007 |
Other
| Other | 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007 |
|---|---|
| Country | United Arab Emirates |
| City | Sharjah |
| Period | 2/12/07 → 2/15/07 |
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ASJC Scopus subject areas
- Signal Processing
Cite this
ANALYSIS of discretization errors in if estimation of polynomial phase signals. / Rankine, L.; Mesbah, M.; Boashash, B.
2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings. 2007. 4555300.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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TY - GEN
T1 - ANALYSIS of discretization errors in if estimation of polynomial phase signals
AU - Rankine, L.
AU - Mesbah, M.
AU - Boashash, B.
PY - 2007
Y1 - 2007
N2 - The peak of the polynomial Wigner-Ville distribution (PWVD) is a method for providing an unbiased estimate of the instantaneous frequency (IF) for polynomial phase signals. The theoretical lower variance bound, assuming a continuous frequency variable, has been studied previously in [1]. However, due to the discretization of the PWVD required for computer implementation, there is also another theoretical lower variance bound which is a result of the discretization error. In this paper, we study the relationship between the discretization error bound and the theoretical lower variance bound and determine the minimum number of frequency samples required such that the theoretical lower variance bound can be attained.
AB - The peak of the polynomial Wigner-Ville distribution (PWVD) is a method for providing an unbiased estimate of the instantaneous frequency (IF) for polynomial phase signals. The theoretical lower variance bound, assuming a continuous frequency variable, has been studied previously in [1]. However, due to the discretization of the PWVD required for computer implementation, there is also another theoretical lower variance bound which is a result of the discretization error. In this paper, we study the relationship between the discretization error bound and the theoretical lower variance bound and determine the minimum number of frequency samples required such that the theoretical lower variance bound can be attained.
UR - http://www.scopus.com/inward/record.url?scp=51549096365&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=51549096365&partnerID=8YFLogxK
U2 - 10.1109/ISSPA.2007.4555300
DO - 10.1109/ISSPA.2007.4555300
M3 - Conference contribution
SN - 1424407796
SN - 9781424407798
BT - 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings
ER -