Unified Speech and Audio Coding (USAC) is an emerging MPEG audio standard striving for efficiently representing both speech and music signals even in very low bitrate ranges. The reference codec takes an approach of unifying two state-of-the-art speech and audio coding structures in a single platform. This paper proposes an enhanced long term predictor (eLTP) that effectively utilizes periodic redundancies of inter- and intra- time frames. Experimental results with various types of input signals confirm the superiority of the proposed algorithm compared to the reference codec.