I. Introduction
The classic differential modulation technique allows us to dispense with the pilot transmission and channel estimation (CE) [1], and hence the CE-error-induced performance degradation, which is typically imposed by its coherent counterpart, is avoided in differential non-coherent detection. Differential modulation was employed for orthogonal frequency-division multiplexing (OFDM) [2], by assuming that differentially modulated symbols in each subcarrier experience the non-dispersive frequency-flat channel. However, it is a challenging task to carry out such differential modulation and non-coherent detection in the frequency-selective channel, since equalization is inapplicable to non-coherent detection.