Abstract: In a method for determining positions {pi}i=1, . . . , N of transducers {Ai}i=1, . . . , N of an apparatus, the transducers are assumed to be configured for receiving wave signals from and/or transmitting wave signals to one or more regions {Rm}m=1, . . . , M of interest in an n-dimensional space, with n=2 or 3. An n-dimensional spatial filter function {circumflex over (?)}e(r) is determined, which matches projections {Pm}m=1, . . . , M of the one or more regions {Rm}m=1, . . . , M of interest onto an n?1-dimensional sphere centered on the apparatus. Then, a density function ƒb(p) is obtained, based on a Fourier transform ?(p) of the determined spatial filter function {circumflex over (?)}e(r). Finally, a position pi is determined, within said n-dimensional space, for each of N transducers, based on the obtained density function ƒb(p) and a prescribed number N of the transducers. The invention is further directed to related devices, apparatuses and systems, as well as computer program products.

Abstract: In a method for determining positions {pi}i=1, . . . , N of transducers {Ai}i=1, . . . , N of an apparatus, the transducers are assumed to be configured for receiving wave signals from and/or transmitting wave signals to one or more regions {Rm}m=1, . . . , M of interest in an n-dimensional space, with n=2 or 3. An n-dimensional spatial filter function {circumflex over (?)}e(r) is determined, which matches projections {Pm}m=1, . . . , M of the one or more regions {Rm}m=1 . . . , M of interest onto an n?1-dimensional sphere centered on the apparatus. Then, a density function ƒb(p) is obtained, based on a Fourier transform ?(p) of the determined spatial filter function {circumflex over (?)}e(r). Finally, a position pi is determined, within said n-dimensional space, for each of N transducers, based on the obtained density function ƒb(p) and a prescribed number N of the transducers. The invention is further directed to related devices, apparatuses and systems, as well as computer program products.

Abstract: In a method for determining positions {pi}i=1, . . . , N of transducers {Ai}i=1, . . . , N of an apparatus, the transducers are assumed to be configured for receiving wave signals from and/or transmitting wave signals to one or more regions {Rm}m=1, . . . , M of interest in an n-dimensional space, with n=2 or 3. An n-dimensional spatial filter function {circumflex over (?)}e(r) is determined, which matches projections {Pm}m=1, . . . , M of the one or more regions {Rm}m=1, . . . , M of interest onto an n?1-dimensional sphere centered on the apparatus. Then, a density function ƒb(p) is obtained, based on a Fourier transform ?(p) of the determined spatial filter function {circumflex over (?)}e(r). Finally, a position pi is determined, within said n-dimensional space, for each of N transducers, based on the obtained density function ƒb(p) and a prescribed number N of the transducers. The invention is further directed to related devices, apparatuses and systems, as well as computer program products.

Abstract: In a method for determining positions {pi}i=1, . . . , N of transducers {Ai}i=1, . . . , N of an apparatus, the transducers are assumed to be configured for receiving wave signals from and/or transmitting wave signals to one or more regions {Rm}m=1, . . . , M of interest in an n-dimensional space, with n=2 or 3. An n-dimensional spatial filter function {circumflex over (?)}e(r) is determined, which matches projections {Pm}m=1, . . . , M of the one or more regions {Rm}m=1 . . . , M of interest onto an n?1-dimensional sphere centered on the apparatus. Then, a density function ƒb(p) is obtained, based on a Fourier transform ?(p) of the determined spatial filter function {circumflex over (?)}e(r). Finally, a position pi is determined, within said n-dimensional space, for each of N transducers, based on the obtained density function ƒb(p) and a prescribed number N of the transducers. The invention is further directed to related devices, apparatuses and systems, as well as computer program products.