A novel IIR adaptive gradient instrumental variable echo canceler (GIV
E) is presented. Its features include adaptive controllability during
double-talk periods in acoustic conference systems; guarantee of globa
l convergence; low computational cost (the same order as the IIR LMS a
lgorithm of the equation error method); and flexible structures (paral
lel or series-parallel structures), We also show a convergence analysi
s for gradient adaptive algorithms including GIVE, Based on this analy
sis, the optimum stepsize for GIVE and three suboptimum algorithms are
proposed to accelerate convergence and reduce misadjustment. In addit
ion, a simple method that guarantees the stability of IIR filters and
a configuration of GIVE applicable to closed loop systems are presente
d, These proposals are extensively studied by computer simulations,