Read e-book online Acoustical Sensing and Imaging PDF

By Hua Lee

ISBN-10: 1498725732

ISBN-13: 9781498725736

For complicated working modalities and dimensionalities, the layout and improvement of high-performance sensing and imaging structures characterize the main direct and critical advances within the box of process research and sign processing. during this box, the middle parts are actual modeling, mathematical research, formula of photograph reconstruction algorithms, functionality review, and process optimization.

Acoustical Sensing and Imaging covers the total scope of those elements, with an emphasis at the purposes of process research and sign processing in acoustical sensing and imaging.

Providing a unified theoretical framework, this book:

Focuses at the solution research within the actual modeling of the platforms, accomplishing the research throughout the quantitative overview of the spatial-frequency spectral assurance Addresses the most important parts of sign processing, comparable to the layout of the probing waveforms, photograph reconstruction algorithms, errors aid and elimination, and snapshot enhancement Formulates the picture reconstruction algorithms according to the concept that of coherent backward propagation, within the type of multi-frequency tomography Explains the way to increase approach functionality, together with the correction of quadrature part error ahead of photograph reconstruction and enhancement with coherent wavefield data throughout the superposition of sub-images offers numerous purposes as examples of varied working modalities, illustrating the technical and academic importance of the field

Acoustical Sensing and Imaging guarantees a large appreciation of the layout thoughts, research, and improvement of high-performance sensing and imaging platforms.

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As a result, the transfer function is in the form of 1  H( f x , f y , f z ) = δ  f −   λ 1/2  1   for f z ≥ 0 = δ  f z −  2 − f x2 + f y2   λ    ( ) Then, we perform inverse Fourier transformation of the transfer function, in the z direction only. Utilizing the shift property of the Fourier transform, the transfer function becomes 1/2   1   Fz −1 {H ( f x, f y , f z )} = Fz−1 δ  f z −  2 − f x2 + f y2   λ     ( )   = H ( f x, f y ; z )  1/2    1 = exp( j 2π f z z) = exp  j 2π  2 − f x2 + f y2  z  λ   ( ) This three-dimensional transfer function is a function of one space variable z and two spatial-frequency variables, fx and f y.

As indicated previously, the projection p(x) is a lowpass signal with cutoff frequency of ±1/λ. By backward propagating the projection p(x) to the object region, an image subcomponent is then formed, and the spectral distribution of this image component is the lower half of the circle, the semicircle toward the direction of the aperture. The other half of the circular spectrum corresponds to the reflection-mode wavefield, which can be obtained by placing an aperture on the same side of the transmitter.

3 Finite-Size Aperture The analysis so far has been limited to the case of infinite receiving aperture. However, the size of the receiving aperture is normally finite in practice. When the size of the receiving aperture becomes limited, the detected wavefield does not extend to the full-span of the spectral coverage as in the cases of infinite-size aperture. The cutoff frequency of the lowpass wavefield is consequently reduced from the upper limit of 1/λ to  1  θ f c =   sin    λ  2 where the term sin(θ/2) is a factor given by the Rayleigh criteria as a function of aperture size and range distance.

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Acoustical Sensing and Imaging by Hua Lee

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