Abstract
The time domain autocorrelation algorithm requires a long estimated time and has a poor detection timing performance in the case of low signal to noise ratio. The drawback of the sliding correlation algorithm is that the computation is large and the complexity is high. In order to solve the problems in the existing methods, a frequency domain convolution correlation algorithm is proposed. In order to simplify the received signal and the local signal, so that cross-correlation can be carried out in the frequency domain, this method makes full use of the relationship between crosscorrelation and convolution, and the characteristics of Fourier transform. Compared with the time domain sliding correlation algorithm, the frequency multiplication algorithm reduces the number of multiplication times 92.6%, the number of complex additions decreased by 95.3%. The simulation results show that the frequency domain convolution cross correlation algorithm is efficient, robust and feasible, can reduce the computational complexity, shorten the synchronization time, improve the detection efficiency and meet the synchronization performance requirements of the LTE system.
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