Efficient and Accurate Pattern Synthesis of Circular Antenna Array Employing Iterative Fast Segmented Cyclic Convolution

An iterative fast segmented cyclic convolution (IFSCC) method is presented for accurately and efficiently synthesizing the pattern of a uniformly spaced circular array (USCA) considering directive element patterns as well as mutual coupling. In this method, the transformations between the excitation vector and the USCA pattern are formulated as a fast segmented cyclic convolution (FSCC) and an inverse FSCC, which can be highly efficiently accomplished by using a fast Fourier transform (FFT) and an inverse FFT. The IFSCC method overcomes the limitation of FFT in synthesizing USCA patterns without interpolation or approximation processes. Numerical examples of synthesizing different USCA patterns are conducted to validate the effectiveness and efficiency of the proposed method. The synthesis results also demonstrate the advantages of the proposed method.