A novel interferometric fiber-optic gyroscope with amplified optical f
eedback by an Er-doped fiber amplifier (EDFA) is proposed and theoreti
cally investigated (the proposed gyroscope is named the feedback EDFA-
FOG, FE-FOG in what follows). The FE-FOG functions like a resonant fib
er-optic gyro (R-FOG) because of its multiple utilization of the Sagna
c loop; however, it is completely different because a low-coherence li
ght source is used. In addition, the gyro output signal is pulsed beca
use the modulation frequency of the phase modulator placed in the Sagn
ac loop is selected to match the total round-trip time delay of the li
ght, which includes the Sagnac-loop delay plus that of the feedback lo
op of the fiber amplifier. The sharpness of the output pulse can be ad
justed by both the gain of an EDFA and the modulation depth of the pha
se modulator. When rotation occurs the peak position of the output pul
se is shifted as a result of the Sagnac effect. The resolution of the
rotation measurement depends on the sharpness of the output pulse. The
techniques of both the open-loop and closed-loop methods are describe
d in detail, which shows the great advantage of the proposed gyroscope
over the to the conventional interferometric fiber-optical gyroscope
(I-FOG).