  The acquisition of the signal from the satellite based positioning systems,
such as GPS, Galileo, and Compass, encounters challenges in the urban streets,
indoor. For improving the acquisition performance, the data accumulation is
usually performed to improve the signal-to-noise ratio which is defined on the
second order statistics. Different from the conventional approaches, the
acquisition based on higher order cyclostatistics is proposed. Using the
cyclostatistics, the estimation of the initial phase and Doppler shift of the
signal is presented respectively. Afterwards, a joint estimator is introduced.
The analysis in this paper is performed on GPS signal. Indeed, the proposed
estimation method can be straightforwardly extended to acquire the signal from
the other satellite positioning systems. The simulation and experiment results
demonstrate that the proposed signal acquisition scheme achieves the detection
probability of 0.9 at the CNR 28dBHz.
