Group delay shift covariant quadratic time-frequency representations

Papandreou-Suppappola, Antonia; Murray, Robin L.; Iem, Byeong-Gwan; Boudreaux-Bartels, G.F.

doi:10.1109/78.960403

Cited by 58 publications

(41 citation statements)

References 26 publications

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“…(27). Noting that the conclusion in the above section that T s 1/f d is required, T s must be selected as a compromise for low BFT dispersion when Doppler shift and multipath delays coexist.…”

Section: Signal Analysis In the Bft Domainmentioning

confidence: 99%

“…From analysis of Eq. (27) and Fig. 2, the multipath impulses by BFT are on the left of πK m in the β domain.…”

Section: Detection Of Multichirp-rate Signal In Multipath Environmentmentioning

confidence: 99%

“…Matched signal transforms (MSTs) to exponential instantaneous frequency structures are proposed in [27], and further, a linear MST method is introduced to suppress LFM interference [28]. Wang [29,30] presents a transform being consistent with linear MSTs, naming it the biorthogonal Fourier transform (BFT), to detect a chirp signal since it matches the chirp rate.…”

Section: Introductionmentioning

confidence: 99%

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Biorthogonal Fourier transform for multichirp-rate signal detection over dispersive wireless channel

Zheng

Yang

Yan

et al. 2018

J Wireless Com Network

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Biorthogonal Fourier transform (BFT), consistent with the matched signal transform (MST), has been introduced to demodulate the M-ray chirp-rate signal which possesses good orthogonality in the BFT domain. Here, we analyze the characteristics of BFT detection in a further step, including the resolution capability of the multichirp-rate signal, the property of pulse compression, the closed-form bit-error rate in the additive white Gaussian noise (AWGN) channel, and the interference in the time-frequency dispersive channel. Even in the high Doppler environment, the shift in BFT detection is proven to be slight. In addition, we deduce that the orthogonality among received chirp rates in the BFT domain would be affected in the multipath dispersive environment. This causes the mutual interference among different chirp rates in a symbol and over symbols concurrently. The theoretical result shows that the chirp modulation parameter can be adjusted to obtain the trade-off between time and frequency dispersion. By the multipath model of chirp-rate signal, an auxiliary parallel interference cancellation (PIC) method is further introduced in multipath environment. Simulations verify our analyzed performance of BFT detection in the AWGN, Doppler, and multipath channels. The proposed interference cancellation algorithms are also proven to be effective.

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Section: Signal Analysis In the Bft Domainmentioning

confidence: 99%

“…From analysis of Eq. (27) and Fig. 2, the multipath impulses by BFT are on the left of πK m in the β domain.…”

Section: Detection Of Multichirp-rate Signal In Multipath Environmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Biorthogonal Fourier transform for multichirp-rate signal detection over dispersive wireless channel

Zheng

Yang

Yan

et al. 2018

J Wireless Com Network

View full text Add to dashboard Cite

show abstract

“…Many methods have been proposed and studied which basically attempt to combine the time-frequency atoms in order to extract the main components of the signal. High order statistics [4], Hilbert-Huang Transform [5], group delay shift covariant quadratic time-frequency representations [6], parametric time-frequency analysis [7], etc. have been introduced and applied to real signals.…”

Section: Introductionmentioning

confidence: 99%

Analysis of underwater mammal vocalisations using time–frequency-phase tracker

et al. 2010

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“…Within the signal processing community, these waves have been widely studied. Their description in the time-frequency plane is problematic because their dispersive characteristics make the standard quadratic time-frequency representations (TFRs) (such as the Wigner distribution) unsuitable [2], [3]. In this paper, we consider data recorded by a linear array of sensors.…”

Section: Introductionmentioning

confidence: 99%