Response to "On Mathematical Equivalence Between Vector OFDM and Quadrature OFDMA"

In, we introduced a novel layered inverse Fast Fourier Transform (IFFT) structure based on the Divide-andConquer approach for computing the IFFT. Based on the structure we proposed asymmetric OFDM systems which bridge OFDM and single carrier systems. Its multiuser access version, Quadrature OFDMA, is developed in. In the presented form, the basic transceiver of asymmetric OFDM is mathematically similar to the vector OFDM system. We regret for not citing the vector OFDM and related work in our papers. As a response to, we argue that there are actually significant differences between our work and the vector OFDM work.