New Smoothed Time-Frequency Rate Representations for Suppressing Cross Terms

Lei Zuo; Ming Li; Xiang Gen Xia

doi:10.1109/TSP.2016.2625270

New Smoothed Time-Frequency Rate Representations for Suppressing Cross Terms

Lei Zuo, Ming Li, Xiang Gen Xia

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

In this paper, to suppress the cross terms in a time-frequency rate representation (TFRR), we propose four kinds of smoothed TFRRs (STFRRs) based on high resolution TFRR (HR-TFRR) and cubic phase function. We first define two types of ambiguity functions of TFRR (AF-TFRR) and give a relationship between AF-TFRRs and TFRRs. Then, a mask is devised to extract the auto terms and suppress the cross terms in AF-TFRR domain. Finally, four STFRRs are obtained based on the masked AF-TFRRs. STFRRs are suitable for a signal composed of multiple linear frequency modulated components or cubic phase components with small third order parameters. To analyze a signal composed of multiple cubic phase components with large third order parameters, we propose smoothed time-chirp rate representations (STCRRs) in the same way as STFRRs. Numerical examples demonstrate that STFRRs and STCRRs can suppress the cross terms effectively.

Original language	English
Article number	7736146
Pages (from-to)	733-747
Number of pages	15
Journal	IEEE Transactions on Signal Processing
Volume	65
Issue number	3
DOIs	https://doi.org/10.1109/TSP.2016.2625270
Publication status	Published - 1 Feb 2017
Externally published	Yes

Keywords

Ambiguity function
cross term
cubic phase function (CPF)
time-frequency rate representation (TFRR)

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10.1109/TSP.2016.2625270

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title = "New Smoothed Time-Frequency Rate Representations for Suppressing Cross Terms",

abstract = "In this paper, to suppress the cross terms in a time-frequency rate representation (TFRR), we propose four kinds of smoothed TFRRs (STFRRs) based on high resolution TFRR (HR-TFRR) and cubic phase function. We first define two types of ambiguity functions of TFRR (AF-TFRR) and give a relationship between AF-TFRRs and TFRRs. Then, a mask is devised to extract the auto terms and suppress the cross terms in AF-TFRR domain. Finally, four STFRRs are obtained based on the masked AF-TFRRs. STFRRs are suitable for a signal composed of multiple linear frequency modulated components or cubic phase components with small third order parameters. To analyze a signal composed of multiple cubic phase components with large third order parameters, we propose smoothed time-chirp rate representations (STCRRs) in the same way as STFRRs. Numerical examples demonstrate that STFRRs and STCRRs can suppress the cross terms effectively.",

keywords = "Ambiguity function, cross term, cubic phase function (CPF), time-frequency rate representation (TFRR)",

author = "Lei Zuo and Ming Li and Xia, {Xiang Gen}",

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AU - Li, Ming

AU - Xia, Xiang Gen

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N2 - In this paper, to suppress the cross terms in a time-frequency rate representation (TFRR), we propose four kinds of smoothed TFRRs (STFRRs) based on high resolution TFRR (HR-TFRR) and cubic phase function. We first define two types of ambiguity functions of TFRR (AF-TFRR) and give a relationship between AF-TFRRs and TFRRs. Then, a mask is devised to extract the auto terms and suppress the cross terms in AF-TFRR domain. Finally, four STFRRs are obtained based on the masked AF-TFRRs. STFRRs are suitable for a signal composed of multiple linear frequency modulated components or cubic phase components with small third order parameters. To analyze a signal composed of multiple cubic phase components with large third order parameters, we propose smoothed time-chirp rate representations (STCRRs) in the same way as STFRRs. Numerical examples demonstrate that STFRRs and STCRRs can suppress the cross terms effectively.

AB - In this paper, to suppress the cross terms in a time-frequency rate representation (TFRR), we propose four kinds of smoothed TFRRs (STFRRs) based on high resolution TFRR (HR-TFRR) and cubic phase function. We first define two types of ambiguity functions of TFRR (AF-TFRR) and give a relationship between AF-TFRRs and TFRRs. Then, a mask is devised to extract the auto terms and suppress the cross terms in AF-TFRR domain. Finally, four STFRRs are obtained based on the masked AF-TFRRs. STFRRs are suitable for a signal composed of multiple linear frequency modulated components or cubic phase components with small third order parameters. To analyze a signal composed of multiple cubic phase components with large third order parameters, we propose smoothed time-chirp rate representations (STCRRs) in the same way as STFRRs. Numerical examples demonstrate that STFRRs and STCRRs can suppress the cross terms effectively.

KW - Ambiguity function

KW - cross term

KW - cubic phase function (CPF)

KW - time-frequency rate representation (TFRR)

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JO - IEEE Transactions on Signal Processing

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ER -

New Smoothed Time-Frequency Rate Representations for Suppressing Cross Terms

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Keywords

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