Abstract: Based on GMW sequences, a family of GMW-geometric sequences are constructed, and their correlation functions in two cases are given.When f,g are balanced functions, GMW-geometric sequences are not only generated easily but also have good correlation property. As a result, GMW-geometric sequences can be applied in direct spectrum code-division multiple access communication systems. At last correlation functions of GMW sequences in four casesare given out as corollaries.

Key words: correlation functions, GMW-geometric sequences, GMW sequences