It is well-know that carrier frequency offset in the subcarriers of orthogonal frequency division multiplexing (OFDM) leads to intercarrier interference (ICI); therefore, system degradation occurs. Nevertheless, this issue may effectively be mitigated via the pulse shaping filter method. In this manuscript, we present the improved double jump linear combination (IDJLC) function. With the goal of minimizing the bit error rate (BER), we then optimize it by employing its extra design parameters. Finally, our filter is compared with some of the best and most recent filters found in the literature in terms of ICI, signal to interference ratio, signal to noise ratio and normalized frequency offset requirements at a BER threshold of 10∼3, frequency profile, and average elapsed time. In general, the performance of the system is improved by using the IDJLC pulse.