Theoretical and numerical simulation to control the wideband interfering noise by the broadband constant beam pattern method for a cylindrical array

Abstract

The broadband azimuthal constant beam pattern (CBP) cylindrical array synthesis theory is applied to suppress or to cancel wideband interfering directional noise sources on this plane by implanting zeros in the array's original synthesized shading function. This modified array shading function can be expanded by Fourier cosine and sine series, which are converged to the beam pattern in the far-field such that the created nulls (or reduced-response beam sidelobes) are in the wideband interfering noise source directions per the CBP theory for the large ratio of the cylindrical array radius to the operating frequency wavelength. The simulated numerical examples given for this wideband noise source suppression method for modified Legendre polynomial, classic Dolph–Chebyshev, and Taylor shading functions maintain a broadband CBP performance in the azimuthal plane for a cylindrical array. 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 wideband interfering noise sources.