This paper proposes a new method for designing quadriphase spread spectrum sequences
which is based on Chebyshev Map.The correlation distribution of the generalized odd correlation of such sequences is analyzed.And the sequences is compared with other quadriphase spread spectrum sequences with respect to the correlation properties such as the correlation peak and the correlation mean square.Theoretical analyses and the results of simulation show that the quadriphase spread spectrum sequences generated by the method proposed in the paper has good correlation properties