Research on Ambiguity Resolution Algorithm by Quaternion Based on Acoustic Vector Sensor

Abstract

The increase in element spacing can increase the aperture of the array and improve its resolution performance. However, phase ambiguity will occur when the array element interval is larger than the minimum half wavelength of the incident signal. The three acoustic velocity components of the acoustic vector are ingeniously constructed into a new kind of quaternions because of the special structure of the acoustic vector sensor array, and the rough estimation of the direction of arrival (DOA) is obtained using the rotation relationship between the subarray steering vectors corresponding to quaternion data. The rough estimate is used to resolve the phase ambiguity of the spatial phase difference between the array elements, and the high-precision DOA estimation of the signal can be obtained. Simulation results show that the method is effective.

The mechanism of word satiation in Tibetan reading: Evidence from eye movements

“…The above-mentioned tasks belong to the paradigms of behavioral experimental methods. These methods are offline (or non-real-time) measures that conceal cognitive processing details of language ( 47 ). Therefore, using them makes it difficult not only to control irrelevant variables such as distraction ( 27 ), but also to adapt the high-speed integrated characteristics of language processing because they consider accuracy and reaction time as dependent variables ( 49 ).…”

DOA Estimation with Spatial Spread Vector‐Sensor Array Based on Biquaternion MUSIC

“…The hypercomplex number as typified by quaternion is very suitable for the component representation of EMVS because of its strict orthogonality [10]. With the breakthrough of some mathematical problems such as the eigenvalue decomposition (EVD) of the quaternion value matrix [11], the hypercomplex number tool has been introduced into the research of EMVS array signal processing successfully [10][11][12][13][14][15][16]. The frequency-domain quaternion MUSIC algorithm [12] and frequency-domain biquaternion MUSIC algorithm [13] are explored, respectively.…”

“…Li et al have proposed a Q-MUSIC algorithm that can realize dimensionality reduction search on the premise of excluding only a few special parameters in the time domain [14]. Correspondingly, quaternion ESPRIT [15,16] and augment ESPRIT [17] algorithms have also been developed.…”

“…Most of the studies mentioned above [3][4][5][6][8][9][10][11][12][13][14][15][16]] mainly focus on collocated vector-sensor array. In actual production, this collocated EMVS with the same geometric center requires high degree of electromagnetic isolation.…”