Channel estimation of sparse multipath based on compressed sensing using Golay sequences

For the novel channel estimation method using compressed sensing (CS), many strategies have been proposed for its performance improvements. Nevertheless, random sequences are usually used to construct sensing matrix, but it is difficult and expensive to be implemented in hardware, and may cause large Peak-to-Average Power Ratio (PAPR) in OFDM system. Consequently, in this paper, the method that to obtain deterministic sensing matrix by deterministic sequence named as Golay Complementary Sequence is detailed investigated. Golay sequence has the properties as perfect periodic auto-correlations, simultaneously realizing timing acquisition and channel estimation. Also PAPR can be limited within 3dB in OFDM system by the method. Simulation results show that the deterministic sensing matrix can offer reconstruction performance similar to random matrix.