A spectrally encapsulated orthogonal frequency division multiplexing (SE-OFDM) precoding scheme for short packet transmission that is able to suppress the out-of-band emission (OoBE) while maintaining the advantage of thecyclic prefix (CP)-OFDM is proposed. The SE-OFDM symbol consists of a prefix, an information (I)-symboland a suffix that are generated by head, center and tail matrices, respectively.