Time-delay estimation for sinusoidal signals

So, Hing Cheung

doi:10.1049/ip-rsn:20010589

Cited by 40 publications

(18 citation statements)

References 11 publications

(1 reference statement)

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“…Estimation of the phase difference between two noisy versions of the same signal received at two spatially separated sensors has attracted considerable attention in fault diagnosis, direction finding, electric power calibration, source localization and other fields [1][2][3][4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

New Phase Difference Measurement Method for Non-Integer Number of Signal Periods Based on Multiple Cross-correlations

Sun¹,

Shen²,

Mu³

2015

TOAUTOCJ

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Abstract:In this paper, a new phase difference measurement method is proposed for non-integer number of signal periods based on multiple cross-correlations, which is derived from the error analysis of the correlation method. Firstly, threesegment signals with the same center frequency are chosen. Then, the Hilbert transformation is conducted on the selected three-segment signals to make it have 90 degree phase shift. And then, the correlation functions of the selected three signals and its phase shifted signals are computed respectively. Certain properties of correlation and sine functions are adopted to obtain the computational formula of phase difference. Theory analyses show that the measurement accuracy of the proposed method is not affected by whether the signal is in integer periods or not, even if the frequency is unknown. Simulations and comparisons are presented to validate the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

New Phase Difference Measurement Method for Non-Integer Number of Signal Periods Based on Multiple Cross-correlations

Sun¹,

Shen²,

Mu³

2015

TOAUTOCJ

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“…When the source signals are deterministic, a Discrete-time Fourier transform (DTFT)-based algorithm is proposed for single complex sinusoids [10], while a Quadrature Delay Estimator algorithm is developed for real-valued sinusoids by utilizing the in-phase and quadrature-phase components of one of the received signals [11]. Using the idea of [11], two modified methods have been developed for real sinusoidal signals [12].…”

Section: Introductionmentioning

confidence: 99%

Two New Sliding DTFT Algorithms for Phase Difference Measurement Based on a New Kind of Windows

Shen

Zhang

et al. 2014

Measurement Science Review

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For the ultra-low frequency signals or adjacent Nyquist frequency signals, which exist in the vibration engineering domain, the traditional DTFT-based algorithm shows serious bias for phase difference measurement. It is indicated that the spectrum leakage and negative frequency contribution are the essential causes of the bias. In order to improve the phase difference measurement accuracy of the DTFT-based algorithm, two new sliding DTFT algorithms for phase difference measurement based on a new kind of windows are proposed, respectively. Firstly, the new kind of windows developed by convolving conventional rectangular windows is introduced, which obtains a stronger inhibition of spectrum leakage. Then, with negative frequency contribution considered, two new formulas for phase difference calculation under the new kind of windows are derived in detail. Finally, the idea of sliding recursive is proposed to decrease the computational load. The proposed algorithms are easy to be realized and have a higher accuracy than the traditional DTFT-based algorithm. Simulations and engineering applications verified the feasibility and effectiveness of the proposed algorithms.

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“…If better accuracy is required, computationally intensive interpolation is needed [4]. Another group of TDE methods are DFT and cross-spectrum based methods (e.g., [2,3,6,7]) that estimate the time-delay based on the phase-difference estimated directly in the frequency domain. These methods provides for sub-sample accuracy and additionally require less computational power.…”

Section: Introductionmentioning

confidence: 99%

Phase-Difference Ambiguity Resolution for a Single-Frequency Signal in the Near-Field Using a Receiver Triplet

Ballal

Bleakley

2010

IEEE Trans. Signal Process.

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In this letter we propose a novel method to unambiguously estimate the phase-difference of a single-frequency signal measured between a pair of spatially separated sensors. First, we mathematically prove that, in a noiseless system, the phase between a pair of spatially separated sensors with inter-sensor spacing exceeding half wavelength ( λ 2 ) of the signal of interest, can unambiguously be estimated utilizing a third collinear sensor, provided that the difference of the two smaller inter-sensor spacings does not exceed λ 2 . The performance of the method is characterized by estimating the variance and the probability of failure in noisy cases.

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Time-delay estimation for sinusoidal signals

Cited by 40 publications

References 11 publications

New Phase Difference Measurement Method for Non-Integer Number of Signal Periods Based on Multiple Cross-correlations

New Phase Difference Measurement Method for Non-Integer Number of Signal Periods Based on Multiple Cross-correlations

Two New Sliding DTFT Algorithms for Phase Difference Measurement Based on a New Kind of Windows

Phase-Difference Ambiguity Resolution for a Single-Frequency Signal in the Near-Field Using a Receiver Triplet

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