Design elements of binary phase-only correlation filters

The basic design elements of binary phase-only filters (BPOFs) include the angle of a thresholding line in the complex plane and the offset from a center reference point of the pattern transformed in constructing the filter. These factors are analyzed, and a general formalism for the threshold-line angle variation is presented and related to the special cases of cosine-, sine-, and Hartley-BPOFs and to the general characteristics of the BPOF impulse response. The effects of these elements on correlation performance are investigated using computer simulations with realistic target and clutter patterns. The results indicate significant, but not major, variations of correlation performance for the cases studied.