Joint Design of OFDM Sequences and Mismatch Filter under Spectral Constraints

The OFDM sequences with low correlation sidelobe level (CSLL) is desired in many 5G wireless systems. The OFDM sequences and mismatch filter are jointly designed by maximizing the weighted merit factor (WMF) of the cross-correlation between the OFDM sequences and mismatch filter under the constraints of spectra, where MF refers to the ratio of the central lobe energy to the sum of all other lobes. To solve the nonconvex problem, we devise an efficient alternating optimization (AltOpt) algorithm. Numerical simulations are provided to demonstrate the effectiveness of the proposed algorithms.