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Measurements of acoustic velocity and pressure vectors

Measurements of acoustic velocity and pressure vectors in source localization using acoustic intensity sensor. Literature Survey Presentation Khalid Miah MD-DSP 05/05/05. INTRODUCTION. Estimation of DOA (direction of arrival) of a single source

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Measurements of acoustic velocity and pressure vectors

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  1. Measurements of acoustic velocity and pressure vectors in source localization using acoustic intensity sensor Literature Survey Presentation Khalid Miah MD-DSP 05/05/05

  2. INTRODUCTION • Estimation of DOA (direction of arrival) of a single source • using vector natured Acoustic intensity measurements • MSAE (Mean Square Angular Error) • Free Space and Reflecting boundary case

  3. Statistical Distributions of Fundamental Acoustic Quantities (Pressure/Particle velocity/Intensity) • Statistical Distributions of acoustic quantities are • independent of the shape of the room boundaries and arrangements • [Budhianto & Hixson,1996] • Traditional Acoustic intensity measurements using scalar • sensors is ineffective in terms of source localization

  4. Single-Source Single Vector sensor measurements for DOA estimation in Free Space • 4-D Intensity Based Algorithm [ Nehorai & Paldi, 1994] • - Key Assumptions: Plane wave at the sensor, Band limited • Signal Spectrum • - MSAE = 1+/v p where v = s2 /2v and p = s2 /2p • - MSAE is nearly optimal • 3-D Velocity-Covariance-Based Algorithm • - Use Covariance matrix to estimate u • - MSAE = = -1 + -2 where  = v [ Nehorai & Paldi, 1993] • - MSAE is optimal in Gaussian noise case

  5. Measurements for DOA estimation using Intensity based Algorithm in Reflecting boundary case • Key assumptions: Single bandlimited acoustic source radiating • bandlimited spherical waves (different from free space case) • The image Source is obtained by reflecting the original source • in boundary (which adds Reflection Coefficient in the calculations) • MSAE is calculated under the assumption that both signal and noise • has Gaussian distributions • MSAE is a function of SNR  and the elevation angle  • [Hawkes & Nehorai, 2003]

  6. Four Element Microphone Array Setup SOURCE z z x o x o y Microphone Array y [B. Kirkwood, 2003]

  7. DOA estimation using Intensity based velocity vector sensors and Pressure sensors Free-Space Scenario Reflecting Boundary Case Incidence Angle [Hawkes & Nehorai, 2000]

  8. Implementation of Different Methods Bad: Any experimental data and/or software/source code were not available for third party use. Not too Bad: A Four-element single vector sensor array with “medieval” DAQ board and barely obsolete software (runs on WIN3.x) is available in Eletroacoustic Research lab. (ENS 630)

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