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 -