  We show that the addition of correlated phases to the recently developed
method of randomized dynamical decoupling pulse sequences [Physical Review
Letters 122, 200403 (2019)] can improve its performance in quantum sensing. In
particular, by correlating the relative phases of basic pulse units in
dynamical decoupling sequences, we are able to improve the suppression of the
signal distortion due to $\pi$ pulse imperfections and spurious responses due
to finite-width $\pi$ pulses. This enhances selectivity of quantum sensors such
as those based on NV centers in diamond.
