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Wake acoustic analysis and image decomposition via beamforming of microphone signal projections on wavelet subspaces

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English


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  • Abstract:
    This paper describes the integration of wavelet analysis and time-domain beamforming ; of microphone array output signals for analyzing the acoustic emissions from airplane ; generated wake vortices. This integrated process provides visual and quantitative ; simultaneous information about the wake signal composition and array resolution for a ; particular wavelet subspace during a time interval, T. In the results section, an example is ; given on how image processing algorithms might be used to automate the extraction of this ; information and select the wavelet subspaces from which to perform image reconstruction. ; This process begins with the projection of all the microphone signals on wavelet multiresolution ; subspaces. The projections of these signals on the same wavelet subspace or scale ; are then beamformed to produce an image of the wake corresponding to that particular ; scale. Therefore for each time interval T, the process produces a number of images equal to ; that of the wavelet scales. This is equivalent to a more conventional Fourier-based idea of ; filtering the microphone signals with band-pass filters having non-uniform bandwidths then ; beamform in different sub-bands, but offers greater flexibility and enhanced computational ; speed. Results from both approaches will be shown, which ultimately illustrate the ; advantages of wavelet analysis over that of the Fourier-based analysis. Amongst the ; advantages are the speed of the decomposition and ease of the image reconstruction from ; selected subspaces aided by the perfect reconstruction and orthogonality properties of ; wavelet analysis.
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    urn:sha-512:daaa500528c4f0be1d0d940e7837258a80deb0ac3e4650bf63069088ffb148f3e0f85f68faebe4e091c95d13311bcd83bf76ecf00bf5f473caebf2232ca717fe
File Language:
English
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