Theoretical and numerical simulation to control the wideband three-dimensional interfering noise by the broadband constant beam pattern method for a spherical array

Abstract

The broadband constant beam pattern (CBP) spherical array synthesis theory is applied to suppress or to cancel wideband three-dimensional interfering noise sources by implanting zeros in the array's original synthesized shading function. This modified array angular shading function can be expanded by a series of spherical harmonics that will converge to the beam pattern in the far-field such that the created nulls are in the wideband interfering noise source directions per the CBP theory where the ratio of the spherical array radius to the operating frequency wavelength is large. The simulated numerical examples given for this wideband noise source suppression method demonstrate that a broadband CBP performance is maintained for the spherical array with a Legendre polynomial shading function, the classic Dolph–Chebyshev shading function, or a combination. With the CBP design, one set of the real shading functions works for all frequencies in the array's operating band to cancel or to suppress three-dimensional wideband interfering noise sources.