Merit factor based comparison of new polyphase sequences

New polyphase sequences, named Px sequences, of a square integer length are found. Standard merit factors of polyphase Frank (1963), P1, P3, P4, Golomb and Chu (1972) sequences are compared with merit factors of Px sequences. It is found that Px sequences have better sidelobe-energy merit factor and not worse maximum-sidelobe merit factor in comparison to all mentioned analytically constructed sequences.

[1]  Frank Kretschmer,et al.  Linear Frequency Modulation Derived Polyphase Pulse Compression Codes , 1981, IEEE Transactions on Aerospace and Electronic Systems.

[2]  Gregory W. Wornell Spread-signature CDMA: efficient multiuser communication in the presence of fading , 1995, IEEE Trans. Inf. Theory.

[3]  Karl Gerlach,et al.  Reciprocal radar waveforms , 1991 .

[4]  M. Antweiler,et al.  Merit factor of Chu and Frank sequences , 1990 .

[5]  F.F. Kretschmer,et al.  A New Class of Polyphase Pulse Compression Codes and Techniques , 1981, IEEE Transactions on Aerospace and Electronic Systems.

[6]  Ning Zhang,et al.  Polyphase sequence with low autocorrelations , 1993, IEEE Trans. Inf. Theory.

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

[8]  Gregory W. Wornell Spread-response precoding for communication over fading channels , 1996, IEEE Trans. Inf. Theory.

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

[10]  B. Lewis,et al.  Doppler Properties of Polyphase Coded Pulse Compression Waveforms , 1982, IEEE Transactions on Aerospace and Electronic Systems.

[11]  N. Abramson,et al.  Multiple access in wireless digital networks , 1994, Proc. IEEE.

[12]  Branka Vucetic,et al.  Adaptive receiver structures for asynchronous CDMA systems , 1994, IEEE J. Sel. Areas Commun..

[13]  K. Gerlach,et al.  Low sidelobe radar waveforms derived from orthogonal matrices , 1991 .

[14]  B. L. Lewis,et al.  Range-time-sidelobe reduction technique for FM-derived polyphase PC codes , 1993 .

[15]  Wai Ho Mow,et al.  Aperiodic autocorrelation and crosscorrelation of polyphase sequences , 1997, IEEE Trans. Inf. Theory.