Reciprocity gap functional in spherical harmonic domain for gridless sound field decomposition

Takida, Yuhta; Koyama, Shoichi; Ueno, Naohiro; Saruwatari, Hiroshi

doi:10.1016/j.sigpro.2019.107383

Cited by 3 publications

(3 citation statements)

References 19 publications

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“…In (21), (•, •) denotes the L 2 (D) scalar product and •, • the L 2 t (Γ I ) product. Equation (20) has been studied in Reference [28,29] for the achiral case. With a similar process for the chiral case, the following theorem is proved.…”

Section: Taking Into Account the Boundary Conditions We Getmentioning

confidence: 99%

“…In Reference [19], an interior inverse acoustic scattering problem for a cavity with an inhomogeneous medium inside has been studied. The same method has been employed in Reference [20] in order for a sound field to be reconstructed in a spherical harmonic domain. In Reference [21], the reciprocity gap functional method is applied to calculate the boundary and the permittivity of the scattering object in radar imaging.…”

Section: Introductionmentioning

confidence: 99%

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An Inverse Mixed Impedance Scattering Problem in a Chiral Medium

Athanasiadou

2021

Mathematics

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An inverse scattering problem of time-harmonic chiral electromagnetic waves for a buried partially coated object was studied. The buried object was embedded in a piecewise isotropic homogeneous background chiral material. On the boundary of the scattering object, the total electromagnetic field satisfied perfect conductor and impedance boundary conditions. A modified linear sampling method, which originated from the chiral reciprocity gap functional, was employed for reconstruction of the shape of the buried object without requiring any a priori knowledge of the material properties of the scattering object. Furthermore, a characterization of the impedance of the object’s surface was determined.

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Section: Taking Into Account the Boundary Conditions We Getmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Inverse Mixed Impedance Scattering Problem in a Chiral Medium

Athanasiadou

2021

Mathematics

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“…Wave field estimation methods are classified on the basis of whether wave sources are allowed to exist inside the target region [11]- [15] or not [2], [16]- [20]. In general, the former case is much more difficult than the latter and often requires additional assumptions, such as spatial sparsity of source distribution and a reverberant-free condition.…”

Section: Introductionmentioning

confidence: 99%

Directionally Weighted Wave Field Estimation Exploiting Prior Information on Source Direction

Ueno

Koyama

Saruwatari

2021

IEEE Trans. Signal Process.

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A wave field estimation method exploiting prior information on source direction is proposed. First, we formulate a wave field estimation problem as regularized least squares, where the norm of the wave field is used for a regularization term. The norm of the wave field is defined on the basis of the weighting function that reflects the prior information on the source direction. We derive the closed-form solution using theories on Hilbert spaces. Results of numerical experiments indicated that high estimation accuracy can be achieved by using the proposed method in comparison with other current methods that do not use any prior information.

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