Short pulse multi-frequency phase-based time delay estimation.

An approach for time delay estimation, based on phase difference detection, is presented. A multiple-frequency short continuous wave pulse is used to solve the well-known phase ambiguity problem when the maximum distance exceeds a full wavelength. Within an unambiguous range defined with the lowest frequency difference between components, the corresponding phase difference is unique and any distance within this range can be determined. Phase differences between higher frequency components are used to achieve a finer resolution. The concept will be presented and the effectiveness of the approach will be investigated through theoretical and practical examples. The method will be validated using underwater acoustic measurements, simulating noisy environments, demonstrating resolutions better than a 50th of a wavelength, even in the presence of high levels (-5 dB) of additive Gaussian noise. Furthermore, the algorithm is simple to use and can be easily implemented, being based on phase detection using the discrete Fourier transform.

[1]  George S. K. Wong,et al.  Speed of sound in pure water as a function of temperature , 1993 .

[2]  J. Jones,et al.  Time efficient Chinese remainder theorem algorithm for full-field fringe phase analysis in multi-wavelength interferometry. , 2004, Optics express.

[3]  Jacob Benesty,et al.  Time-delay estimation via linear interpolation and cross correlation , 2004, IEEE Transactions on Speech and Audio Processing.

[4]  Jacob Benesty,et al.  Time Delay Estimation in Room Acoustic Environments: An Overview , 2006, EURASIP J. Adv. Signal Process..

[5]  G. Carter.  Time delay estimation for passive sonar signal processing , 1981 .

[6]  Dana Ron,et al.  Chinese remaindering with errors , 1999, STOC '99.

[7]  Dana Ron,et al.  Chinese remaindering with errors , 2000, IEEE Trans. Inf. Theory.

[8]  G. Carter,et al.  The generalized correlation method for estimation of time delay , 1976 .

[9]  L E Virr,et al.  Microcomputer-controlled acoustic rangefinding technique , 1989 .

[10]  V. A. D. Grosso,et al.  Speed of Sound in Pure Water , 1972 .

[11]  J. Hassab,et al.  Analysis of discrete implementation of generalized cross correlator , 1981 .

[12]  Kejing Liu,et al.  A generalized Chinese remainder theorem for residue sets with errors and its application in frequency determination from multiple sensors with low sampling rates , 2005, IEEE Signal Processing Letters.

[13]  H. Hartridge,et al.  Acoustic Control in the Flight of Bats , 1945, Nature.

[14]  J. Simmons.  The resolution of target range by echolocating bats. , 1973, The Journal of the Acoustical Society of America.

[15]  Whitlow W. L. Au,et al.  Echolocation in dolphins and bats , 2007 .

[16]  Sergios Theodoridis,et al.  A Novel Efficient Cluster-Based MLSE Equalizer for Satellite Communication Channels with-QAM Signaling , 2006, EURASIP J. Adv. Signal Process..

[17]  S. L. Hill,et al.  A multifrequency AM-based ultrasonic system for accuracy distance measurement , 1994 .

[18]  Leonid Belostotski,et al.  Distance measurement with phase-stable CW radio link using the Chinese remainder theorem , 2001 .