Title :
On differentially encoded M-sequences
Author :
Rice, Michael ; Tretter, Steven ; Mathys, Peter
Author_Institution :
Dept. of Electr. & Comput. Eng., Brigham Young Univ., Provo, UT, USA
fDate :
3/1/2001 12:00:00 AM
Abstract :
We show that a differentially encoded maximal-length shift register sequence (or M-sequence) is also an M-sequence or the logical complement of an M-sequence. The differentially encoded sequence is a cyclically shifted version of the original M-sequence or its complement
Keywords :
encoding; m-sequences; auto-correlation property; cross-correlation property; cyclically shifted sequence; differentially encoded M-sequences; finite field analysis; logical M-sequence complement; maximal-length shift register sequence; shift-register/polynomial analysis; Acoustic testing; Autocorrelation; Binary phase shift keying; Bit error rate; Encoding; Phase detection; Polynomials; Shift registers; Signal resolution; Wideband;
Journal_Title :
Communications, IEEE Transactions on