Efficient array design algorithm for wide-band application of the MUltiple SIgnal Classification algorithm

• Published in: Acoustical Science and Technology Vol. 30; no. 3; pp. 187 - 198
• Main Authors: Takada, Jun-ichi, Desoki, Ahmed, Hagiwara, Ichiro
• Format: Journal Article
• Language: English
• Published: Tokyo ACOUSTICAL SOCIETY OF JAPAN 01.01.2009; Acoustical Society of Japan; Japan Science and Technology Agency
• Subjects: Acoustic signal processing; Acoustics; Array design; Exact sciences and technology; Fundamental areas of phenomenology (including applications); MUSIC; Physics; Precision; Quantization; Resolution; Sensor spacing; Wide-band; Acoustic reverberation; MUSIC; Quantization: 43.60.Gk; Target tracking; Wide-band; Acoustics; Spacing; Sensor spacing; Array design; Wide band; Signal quantization; Precision; Arrival angle; Classification; Signal processing; System identification; Resolution
• ISSN: 1346-3969; 1347-5177; 2186-859X; 2432-2040; 0369-4232; 1347-5177
• DOI: 10.1250/ast.30.187

This paper analyzes the error in MUSIC results due to the effect of finite precision arithmetic. Thus, relation of this error to sources correlation level and array and sources configuration parameters is clearly identified. As a result efficient array design algorithm suitable for acoustic environments is derived. This algorithm is efficient in the sense that it can determine minimum number of sensors. This algorithm is quite general as it includes the effect of all parameters such as number of sources, sources correlation level, maximum resolution, maximum source angle, number of sensors, sensor spacing and arithmetic precision. Also this algorithm is shown to be seamlessly applicable in realistic environments where many additional effects and sources of error often exist. During this paper it is shown that this algorithm is indispensable for DOA estimation in wide-band and reverberant environments.