Synthesis of Zolotarev Patterns

Using a modified Chebyshev pattern function with some control parameters, the Zolotarey difference patterns are synthesized by two proposed approaches. One approach consists in forming the pattern function expressed as the multiplication of the modified Chebyshev polynomial with an arctangent function; the other applies an interpolation technique to control the side lobe levels. The control parameters are , given in the expressions of the SLL (Sidelobe Level) and array element number. Under the Fourier relation, the sampling theorem and the FFT algorithm are used to obtain the Zolotarey difference patterns with equal or unequal sidelobe levels. The synthesis examples show the simplicity of these two techniques and the capability to control the pattern' s sidelobe levels.