In this paper, we design a local signal to improve a tracking performance of time-multiplexed binary offset carrier (TMBOC) signal, which was adopted in modernized global positioning systems (GPS). Specifically, considering that TMBOC signal includes BOC(6,1) components, we first obtain local signal by evenly dividing sub-carrier of TMBOC(6,1,4/33) by the period of a BOC(6,1) pulse. Finally, we remove side-peaks of TMBOC(6,1,4.33) autocorrelation via combination of partial correlations given from designed local signal and solve the ambiguity problem. From numerical results, when performing signal tracking using the designed local signal, we demonstrate that the improved tracking error standard deviation (TESD) performance is offered as compared its autocorrelation and the conventional correlation functions.※ 이 논문은 정부(미래창조과학부)의 재원으로 한국연구재단의 지원(2012R1A2A2A01045887, 2014R1A5A1011478)을 받아 수행된 연구임.