I have a system with no diversity and the channel's coefficients change every $T = 10\text{ bits}$ transmitted. The channel estimation system has a flaw and detects the channel's coefficients equal to $h$ while their real values are $h+c$ where $c$ is a constant equal to $1$.
Is there any method I can apply to achieve a better BER than simply using the faulty $h$?
I am using BPSK.