Title :
Periodic ambiguity functions of EQC-based TFHC
Author :
Yang, Yi Xian ; Niu, Xin Xin
Author_Institution :
Dept. of Inf. Eng., Beijing Univ. of Posts & Telecommun., China
fDate :
1/1/1998 12:00:00 AM
Abstract :
The time-frequency hop codes based upon extended quadratic congruences (TFHC-EQC) were developed previously (1988, 1991). The known results about the ambiguity functions of the TFHC-EQC are extended from aperiodic cases to periodic cases. Precisely, the following new results are proved: (1) The tight upper bound for the periodic auto-ambiguity function of the TFHC-EQC is 6; (2) the periodic cross-ambiguity upper bound of the TFHC-EQC is at least (N-1)/2; (3) there exists a subset TFHC-EQC of volume (N-1)/2 such that its periodic cross-ambiguity is tightly upper bounded by 8
Keywords :
codes; correlation theory; functions; signal processing; time-frequency analysis; ambiguity functions; coherent active radar; periodic auto-ambiguity function; periodic cross-ambiguity upper bound; radar; sonar; time-frequency hop codes; upper bound; Autocorrelation; Crosstalk; Pulse compression methods; Pulse measurements; Signal resolution; Sonar measurements; Spread spectrum radar; Time frequency analysis; Time measurement; Upper bound;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on