Grassmannian Constellation Based on Antipodal Points and Orthogonal Design and Its Simplified Detecting Algorithm

Algorithm 1

Algorithm of searching the antipodal orthogonal constellation.

Input: , , , ;

Output: a constellation ;

Point

;

of (5) function of calculating points

; ; for

;

; initial the constellation set

;

For ,

  // four for-cycle to calculate

  For

      // four for-cycle to calculate

      ;

     For

     If ;

If

Return