The use of phase difference trace functions for bearing estimation with small circular arrays
A geometric interpretation of the space-time data from an array of elements called the "trace function" by the authors is used to form an estimate of the bearing of a plane wave sinusoidal signal impinging upon a circular array of small diameter compared to a wavelength. A minimum mean-squ...
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Veröffentlicht in: | IEEE transactions on acoustics, speech, and signal processing speech, and signal processing, 1981-06, Vol.29 (3), p.501-507 |
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container_title | IEEE transactions on acoustics, speech, and signal processing |
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creator | Sackman, G. Shelef, S. |
description | A geometric interpretation of the space-time data from an array of elements called the "trace function" by the authors is used to form an estimate of the bearing of a plane wave sinusoidal signal impinging upon a circular array of small diameter compared to a wavelength. A minimum mean-square error (MMSE) bearing estimator is derived using phase differences between pairs of elements. An estimator is also derived for wave propagation speed. The processor was simulated on a digital computer and the standard deviation of bearing error as a function of variance of phase difference and diameter of array is compared to the Cramér-Rao lower bound. |
doi_str_mv | 10.1109/TASSP.1981.1163556 |
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A minimum mean-square error (MMSE) bearing estimator is derived using phase differences between pairs of elements. An estimator is also derived for wave propagation speed. 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A minimum mean-square error (MMSE) bearing estimator is derived using phase differences between pairs of elements. An estimator is also derived for wave propagation speed. The processor was simulated on a digital computer and the standard deviation of bearing error as a function of variance of phase difference and diameter of array is compared to the Cramér-Rao lower bound.</description><subject>Acoustic propagation</subject><subject>Array signal processing</subject><subject>Computational modeling</subject><subject>Computer errors</subject><subject>Computer simulation</subject><subject>Delay estimation</subject><subject>Direction of arrival estimation</subject><subject>Phase estimation</subject><subject>Phased arrays</subject><subject>Sensor arrays</subject><issn>0096-3518</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1981</creationdate><recordtype>article</recordtype><recordid>eNpFkF1LwzAUhnOh4Jz-Ab3JH-jMaZo0uRzDLxgorF5KSdMTG-nakbTI_r2dK3hzPnlfXh5C7oCtAJh-KNa73fsKtIJpl1wIeUEWjGmZcAHqilzH-M0YZEqkC_JZNEjHiLR39NCYaai9cxiws0iHYKbqxs4Ovu8idX2gFZrguy-KcfB7c7rTHz80NO5N21Lrgx1bE6gJwRzjDbl0po14O_cl-Xh6LDYvyfbt-XWz3iaWMz0kwmlAneUSjaxyB6ICp-papanjgmc2N1xYrjOXT9FkVYOqdc4NkzUIXuWWL0l69rWhjzGgKw9hSheOJbDyBKX8g1KeoJQzlEl0fxZ5RPwXzN9fqRdiHg</recordid><startdate>198106</startdate><enddate>198106</enddate><creator>Sackman, G.</creator><creator>Shelef, S.</creator><general>IEEE</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>198106</creationdate><title>The use of phase difference trace functions for bearing estimation with small circular arrays</title><author>Sackman, G. ; Shelef, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c309t-5f91e9476ea6b7f15b1f8dd822f3534c7a35c394f7ffe6bd18d973a06d153b7c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1981</creationdate><topic>Acoustic propagation</topic><topic>Array signal processing</topic><topic>Computational modeling</topic><topic>Computer errors</topic><topic>Computer simulation</topic><topic>Delay estimation</topic><topic>Direction of arrival estimation</topic><topic>Phase estimation</topic><topic>Phased arrays</topic><topic>Sensor arrays</topic><toplevel>online_resources</toplevel><creatorcontrib>Sackman, G.</creatorcontrib><creatorcontrib>Shelef, S.</creatorcontrib><collection>CrossRef</collection><jtitle>IEEE transactions on acoustics, speech, and signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Sackman, G.</au><au>Shelef, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The use of phase difference trace functions for bearing estimation with small circular arrays</atitle><jtitle>IEEE transactions on acoustics, speech, and signal processing</jtitle><stitle>T-ASSP</stitle><date>1981-06</date><risdate>1981</risdate><volume>29</volume><issue>3</issue><spage>501</spage><epage>507</epage><pages>501-507</pages><issn>0096-3518</issn><coden>IETABA</coden><abstract>A geometric interpretation of the space-time data from an array of elements called the "trace function" by the authors is used to form an estimate of the bearing of a plane wave sinusoidal signal impinging upon a circular array of small diameter compared to a wavelength. 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subjects | Acoustic propagation Array signal processing Computational modeling Computer errors Computer simulation Delay estimation Direction of arrival estimation Phase estimation Phased arrays Sensor arrays |
title | The use of phase difference trace functions for bearing estimation with small circular arrays |
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