Well-structured FHMA codebooks: a geometric approach

A geometric approach in the design of codebooks for OR frequency-hopping multiple-access (FHMA) channels is developed by treating a signal matrix as a finite set of distinct points. The relationship among the parameters of an interference-free j-distinguishable-point codebook, j⩾1, is established by using coordinate-free arguments. Geometry induced by such a codebook is characterized, and the design of a well-structured j -distinguishable-point codebook is related to a block design problem. It is shown that a well-structured 1-distinguishable-point codebook implies the axiom system of a finite affine plane