Decimations of the FrankHeimiller sequences
Abstract
Spreadspectrum radar and communication systems often require periodic sequences with desirable correlation properties. Welch (1974) has given a lower bound for the maximum nonpeak correlation magnitude for families of sequences. Sarwate (1979) considers an inequality which generalizes Welch's bound by giving a tradeoff between the maximum autocorrelation sidelobe and the maximum crosscorrelation for a family of sequences. FrankZadoffChu (FZC) sequences of prime period are optimal with respect to Sarwate's inequality since their autocorrelation sidelobes are all zero. In the present investigation, it is shown that small families of complex sequences of period N square, for N a prime, are also optimal with respect to Sarwate's inequality. These sequence sets are composed of decimations of the FrankHeimiller (FH) sequences. Attention is given to the crosscorrelations of FH decimations, and the selections of good families.
 Publication:

IEEE Transactions on Communications
 Pub Date:
 July 1984
 Bibcode:
 1984ITCom..32..851A
 Keywords:

 Cross Correlation;
 Fourier Transformation;
 Pseudorandom Sequences;
 Sequential Analysis;
 Spectral Correlation;
 Spread Spectrum Transmission;
 Autocorrelation;
 Binary Data;
 Correlation Coefficients;
 Data Transmission;
 Extremum Values;
 Signal Analysis;
 Spectrum Analysis;
 Time Series Analysis;
 Communications and Radar