Abstract | Spectral precoding is a popular approach to reduce out-of-band radiation (OBR) inmulticarrier systems in order to avoid adjacent channel interference. However, it introducesdistortion in the data, appropriate decoding is required at the receiver side. Thus, trading offbetween implementation complexity, OBR reduction and error rate is important. We present a novellinear precoder design with flexibility to trade off OBR reduction, precoding/decoding complexity,and error rate at the receiver. Moreover, the constraint can be imposed on each subcarrier individuallyto provide more flexibility. The precoding matrices have low rank, which translates into significantcomputational savings. In this way, the requirements of different systems can be satisfied withvarying complexity levels |