We employ the Fourier-transform graphic representation of a set of antisymm
etrical and symmetrical sampling reference harmonics to obtain new symmetri
cal phase-shifting algorithms tailored to specific characteristics. As an e
xample, a new detuning-insensitive seven-point algorithm, with a third sign
al harmonic insensitivity and which is detuning insensitive at this frequen
cy, is derived. (C) 2000 Optical Society of America.