An Examination of the Even and Odd Characteristic Superposition of Circularly Tapered Antenna Arrays

This work investigates circularly distributed antenna arrays of even and odd characteristic modal superpositions as it applies to a Hardy space. Examples are provided using a family of even (Sinc) and odd (Cosinc) modal tapers of the L² norm. Furthermore, this space has unique properties as it causes the negative spatial Fourier coefficients to vanish. This paper concludes with simulated results of newly defined modes within a Hardy space utilizing Sinc and Cosinc modes with and without amplitude tapering.