TY - JOUR
T1 - Any Two N × N Costas Signals Must Have at Least One Common Ambiguity Sidelobe if N > 3—A Proof
AU - Freedman, Avraham
AU - Levanon, Nadav
PY - 1985/10
Y1 - 1985/10
N2 - Costas signals have an ambiguity function that approaches the ideal “Thumbtack” configuration. To increase the main lobe/sidelobe ratio without increasing the number of frequencies (signal dimension, N) it may be possible to stagger Costas signal pulses whose ambiguity sidelobe patterns do not coincide. We prove here that Costas signals of the same dimension, with completely different ambiguity sidelobe patterns, do not exist for N > 3.
AB - Costas signals have an ambiguity function that approaches the ideal “Thumbtack” configuration. To increase the main lobe/sidelobe ratio without increasing the number of frequencies (signal dimension, N) it may be possible to stagger Costas signal pulses whose ambiguity sidelobe patterns do not coincide. We prove here that Costas signals of the same dimension, with completely different ambiguity sidelobe patterns, do not exist for N > 3.
UR - http://www.scopus.com/inward/record.url?scp=0022134566&partnerID=8YFLogxK
U2 - 10.1109/PROC.1985.13329
DO - 10.1109/PROC.1985.13329
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AN - SCOPUS:0022134566
SN - 0018-9219
VL - 73
SP - 1530
EP - 1531
JO - Proceedings of the IEEE
JF - Proceedings of the IEEE
IS - 10
ER -