  Complex quantum systems and their various applications are susceptible to
noise of coherent and incoherent nature. Characterization of noise and its
sources is an open, key challenge in quantum technology applications,
especially in terms of distinguishing between inherent incoherent noise and
systematic coherent errors. In this paper, we study a scheme of repeated
sequential measurements that enables the characterization of incoherent errors
by reducing the effects of coherent errors. We demonstrate this approach using
a coherently controlled Nitrogen Vacancy in diamond, coupled to both a natural
nuclear spin bath (non-Markovian) and to experimentally controlled relaxation
through an optical pumping process (nearly Markovian). Our results show
mitigation of coherent errors both for Markovian and Non-Markovian incoherent
noise profiles. We apply this scheme to the estimation of the dephasing time
($T_2^*$) due to incoherent noise. We observe an improved robustness against
coherent errors in the estimation of dephasing time ($T_2^*$) compared to the
standard (Ramsey) measurement.
