New 4-phase complementary codes compressing a pulse to a width of several sub-pulses

The new 4-phase complementary codes, by which a pulse is compressed to a width of several subpulses, are introduced. At first, it is shown that many such complementary codes with small code length exist. It is also shown that the longer such complementary codes are acquired, using the method shown by M.J.E. Golay. Another important result introduced in this paper is that there are also many complete complementary codes in the proposed complementary codes. It is further shown that the auto-correlation sidelobe of each code for the proposed complementary code pair is smaller than that for the conventional.