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

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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
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File Language:
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