A method, system and apparatus for generating a constant amplitude zero autocorrelation (CAZAC) sequence to be transmitted on a wireless communication channel between a user equipment and a base station within a cellular communication network includes iteratively calculating elements of the CAZAC sequence according to a CAZAC sequence formula until a number of iterations has reached a predetermined iteration value determined in accordance with a number of subcarriers associated with the channel; obtaining a value of particular elements of the CAZAC sequence from a table of stored values at predetermined reset iteration values in order to limit error propagation; and generating the reference signal based upon the elements of the CAZAC sequence. The CAZAC sequence formula is one of a Chu sequence, Frank-Zadoff sequence, Zadoff-Chu (ZC) sequence, and Generalized Chirp-Like (GCL) Sequence.