Theory and design of broadband sensor arrays with frequency invariant far‐field beam patterns

  • Ward D
  • Kennedy R
  • Williamson R
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The theorya nd designo f a broadbanda rrayo f sensorsw ith a frequencyin variantf ar-fieldb eam patterno vera n arbitrarilyw ided esignb andwidthis presentedT.h e frequencyin varianbt eamp attern propertyi s definedi n termso f a continuouslyd istributeds ensora, nd the problemo f designinga practicals ensora rrayi s then treateda s an approximationto this continuous ensoru singa discrete set of filteredb roadbando mnidirectionaalr raye lementsT. he designm ethodologiys suitablef or one-, two-, and three-dimensionsael nsora rrays;i t imposesn o restrictionosn the desireda perture distribution( beam shape), and can cope with arbitrarily wide bandwidthsA. n important consequencoef the resultsis that the frequencyre sponsoe f the filter appliedt o the outputo f each sensorc an be factoredi nto two componentsO: ne componenits relatedt o a slice of the desired apertured istributiona,n dt heo theri s sensoirn dependenTt.h e resultsa lsoi ndicatet hatt hel ocations of the sensorsa re not a cruciald esignc onsiderationa,l thoughit is shownt hatn onuniforms pacings simultaneouslayv oid spatiala liasinga nd minimizet he numbero f sensorsA. n exampled esign whichc oversa 10:1f requencyra nge( whichi s suitablefo r speecha cquisitiouns inga microphone array)i llustratetsh eu tilityo f them ethodF. inally,t het heoryi s generalizetdo covera parameterized classo f arraysi n which the frequencyd ependenceo f the beam patternc an be controlledi n a continuoums annerf rom a classicasl ingle-frequencdye signt o a frequencyin variantd esign.

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  • Darren B. Ward

  • Rodney A. Kennedy

  • Robert C. Williamson

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