  Non-Hermitian topological phases in static and periodically driven systems
have attracted great attention in recent years. Finding dynamical probes for
these exotic phases would be of great importance in the detection and
application of their topological properties. In this work, we propose a
systematic approach to dynamically characterize non-Hermitian Floquet
topological phases in one-dimension with chiral symmetry. We show that the
topological invariants of a chiral symmetric Floquet system can be fully
determined by measuring the winding angles of its time-averaged spin textures.
We further purpose a piecewise quenched lattice model with rich non-Hermitian
Floquet topological phases, in which our theoretical predictions are
numerically demonstrated and compared with another approach utilizing the mean
chiral displacement of a wavepacket.
