TY - JOUR
T1 - Inherent limitation in data-aided time synchronization of continuous phase-modulation signals over time-selective fading channels
AU - Dabora, Ron
AU - Goldberg, Jason
AU - Messer, Hagit
N1 - Funding Information:
Manuscript received August 14, 2000; revised January 15, 2002. This work was supported in part by the Israeli Science Foundation founded by the Academy of Sciences and Humanities. The associate editor coordinating the review of this paper and approving it for publication was Dr. Inbar Fijalkow.
PY - 2002/6/1
Y1 - 2002/6/1
N2 - Time synchronization of continuous phase modulation (CPM) signals over time selective, Rayleigh fading channels is considered. The Cramér-Rao lower bound (CRLB) for this problem is studied for data-aided (DA) synchronization (i.e., known symbol sequence transmission) over a time-selective Rayleigh fading (i.e., Gaussian multiplicative noise) channel. Exact expressions for the bound are derived as well as simplified, approximate forms that enable derivation of a number of properties that describe the bound's dependence on key parameters such as signal-to-noise ratio (SNR), channel correlation, sampling rate, sequence length, and sequence choice. Comparison with the well-known slow fading (i.e., constant) channel bound is emphasized. Further simplifications are obtained for the special case of minimum phase keying (MSK), wherein it is shown how the bound may be used as a sequence design tool to optimize synchronization performance.
AB - Time synchronization of continuous phase modulation (CPM) signals over time selective, Rayleigh fading channels is considered. The Cramér-Rao lower bound (CRLB) for this problem is studied for data-aided (DA) synchronization (i.e., known symbol sequence transmission) over a time-selective Rayleigh fading (i.e., Gaussian multiplicative noise) channel. Exact expressions for the bound are derived as well as simplified, approximate forms that enable derivation of a number of properties that describe the bound's dependence on key parameters such as signal-to-noise ratio (SNR), channel correlation, sampling rate, sequence length, and sequence choice. Comparison with the well-known slow fading (i.e., constant) channel bound is emphasized. Further simplifications are obtained for the special case of minimum phase keying (MSK), wherein it is shown how the bound may be used as a sequence design tool to optimize synchronization performance.
KW - Continuous phase modulation
KW - Cramér-Rao bound
KW - Fading channels
KW - Minimum shift keying
KW - Synchronization
KW - Timing
UR - http://www.scopus.com/inward/record.url?scp=0036612147&partnerID=8YFLogxK
U2 - 10.1109/TSP.2002.1003070
DO - 10.1109/TSP.2002.1003070
M3 - Article
AN - SCOPUS:0036612147
SN - 1053-587X
VL - 50
SP - 1470
EP - 1482
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 6
ER -