Lower bounds on the maximum cross correlation of signals (Corresp.)

Some communication systems require sets of signals with impulse-like autocorrelation functions and small cross correlation. There is considerable literature on signals with impulse-like autocorrelation functions hut little on sets of signals with small cross correlation. A possible reason is that designers put too severe a restriction on cross correlation magnitudes. This correspondence establishes lower bounds on how small the cross correlation and autocorrelation can simultaneously be.

[1]  David A. Huffman,et al.  The generation of impulse-equivalent pulse trains , 1962, IRE Trans. Inf. Theory.

[2]  Martin H. Ackroyd,et al.  Synthesis of Efficient Huffman Sequences , 1972, IEEE Transactions on Aerospace and Electronic Systems.

[3]  Robert L. Frank,et al.  Phase shift pulse codes with good periodic correlation properties (Corresp.) , 1962, IRE Trans. Inf. Theory.

[4]  C.-C. TSENG,et al.  Complementary sets of sequences , 1972, IEEE Trans. Inf. Theory.

[5]  S. W. GOLOMB,et al.  Generalized Barker sequences , 1965, IEEE Trans. Inf. Theory.

[6]  R. C. Heimiller,et al.  Phase shift pulse codes with good periodic correlation properties , 1961, IRE Trans. Inf. Theory.

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

[8]  Robert L. Frank,et al.  Polyphase codes with good nonperiodic correlation properties , 1963, IEEE Trans. Inf. Theory.

[9]  David C. Chu,et al.  Polyphase codes with good periodic correlation properties (Corresp.) , 1972, IEEE Trans. Inf. Theory.

[10]  Ann M. Boehmer,et al.  Binary pulse compression codes , 1967, IEEE Trans. Inf. Theory.

[11]  J. Storer,et al.  On binary sequences , 1961 .

[12]  George R. Welti,et al.  Quaternary codes for pulsed radar , 1960, IRE Trans. Inf. Theory.