Synthesis of Zolotarev Patterns

Abstract

Using a modified Chebyshev pattern function with some control parameters, the Zolotarev 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 Zolotarev 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.

On Difference Pattern Synthesis for Spherical Sensor Arrays

“…In this context, the optimal difference pattern denotes the pattern with the narrowest first null width and the largest normalized difference slope on boresight for a specified sidelobe level (SLL). However, McNamara's method is limited to synthesizing arrays with even-numbered elements [18]. In an effort to overcome this limitation, S.R.…”