Another Type of Complementary Sequence

Complementary sequences are useful because when the autocorrelation functions of the member codes are algebraically added, the resultant peak-to-sidelobe ratio is theoretically infinite. Two major types of these sequences, called, respectively, the "pure sense complementary sequences" and the "broad sense complementary sequences," exist. Both types are available in unlimited lengths. However, the lengths of both types are restricted to discrete values. This correspondence reports on another type of complementary sequence which offers the system designer trade-offs among the parameters of code lengths, numbers of member codes, bandwidths in the encoding and decoding networks, pulse width and, hence, resolution, PRF, etc.

[1]  E. Hollis Predicting the Truncated Autocorrelation Functions of Combined Barker Sequences of Any Length Without Use of a Computer , 1967, IEEE Transactions on Aerospace and Electronic Systems.

[2]  E. Hollis,et al.  Quasi-Complementary Sequences , 1975, IEEE Transactions on Aerospace and Electronic Systems.

[3]  Marcel J. E. Golay,et al.  Complementary series , 1961, IRE Trans. Inf. Theory.

[4]  Ernest E. Hollis Constructing "broad sense complementary" sequences of length 4N , 1967, IEEE Transactions on Aerospace and Electronic Systems.