A Comparison Between Different Discrete Ambiguity Domain Definitions in Stochastic Time-Frequency Analysis
(2009) In IEEE Transactions on Signal Processing 57(3). p.868-877- Abstract
- The ambiguity domain plays a central role in estimating the time-varying spectrum and in estimating the covariance function of nonstationary random processes in continuous time. For processes in discrete time, there exist different definitions of the ambiguity domain, but it is well known that neither of these definitions perfectly resembles the usefulness of the continuous ambiguity domain. In this paper, we present some of the most frequently used definitions of the ambiguity domain in discrete time: the Claasen-MecklenbrÄuker, the Jeong-Williams, and the Nuttall definitions. For the first time, we prove their equivalence within some necessary conditions and we present theorems that justify their usage.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1301835
- author
- Sandberg, Johan LU and Sandsten, Maria LU
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Ambiguity domain, covariance function estimation, Claasen-Mecklenbräuker, discrete-time discrete-frequency, Nuttall, Jeong–Williams, nonstationary random processes, time-frequency analysis
- in
- IEEE Transactions on Signal Processing
- volume
- 57
- issue
- 3
- pages
- 868 - 877
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- wos:000263431900005
- scopus:61549132521
- ISSN
- 1053-587X
- DOI
- 10.1109/TSP.2008.2009892
- language
- English
- LU publication?
- yes
- id
- 076a3fbd-bc49-40e4-ae4a-ceeabf9ba697 (old id 1301835)
- date added to LUP
- 2016-04-01 14:10:49
- date last changed
- 2022-04-06 17:11:41
@article{076a3fbd-bc49-40e4-ae4a-ceeabf9ba697, abstract = {{The ambiguity domain plays a central role in estimating the time-varying spectrum and in estimating the covariance function of nonstationary random processes in continuous time. For processes in discrete time, there exist different definitions of the ambiguity domain, but it is well known that neither of these definitions perfectly resembles the usefulness of the continuous ambiguity domain. In this paper, we present some of the most frequently used definitions of the ambiguity domain in discrete time: the Claasen-MecklenbrÄuker, the Jeong-Williams, and the Nuttall definitions. For the first time, we prove their equivalence within some necessary conditions and we present theorems that justify their usage.}}, author = {{Sandberg, Johan and Sandsten, Maria}}, issn = {{1053-587X}}, keywords = {{Ambiguity domain; covariance function estimation; Claasen-Mecklenbräuker; discrete-time discrete-frequency; Nuttall; Jeong–Williams; nonstationary random processes; time-frequency analysis}}, language = {{eng}}, number = {{3}}, pages = {{868--877}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{IEEE Transactions on Signal Processing}}, title = {{A Comparison Between Different Discrete Ambiguity Domain Definitions in Stochastic Time-Frequency Analysis}}, url = {{http://dx.doi.org/10.1109/TSP.2008.2009892}}, doi = {{10.1109/TSP.2008.2009892}}, volume = {{57}}, year = {{2009}}, }