High resolution timing advance estimation based on PRACH and sparse IFFT algorithm for LTE PRACH
Systems, methods and computer software are disclosed for providing high resolution timing advance estimation based on Physical Random Access Channel (PRACH). An example method includes receiving a preamble signal r(n); performing signal conditioning on r(n); down sampling the signal and performing antialiasing filtering to provide a y(n) signal; correlating y(n) with a reference preamble with a reference preamble sequence c(n) to provide correlation output Ryc; using a peak value P of the correlation output Ryc to detect a preamble ID and a timing advance; constructing a sequence s(n) by segmenting r_centered(n) for length L around an index P*24; performing time domain interpolation of c(n) around index P to obtain a sequence c_interpolated(n); performing time domain interpolation between sequences s(n) and c_interpolated(n); detecting a peak position Q of the correlation; and deriving TA as P*24−L/2+q in terms of Ts.
1. A method for enhancing UE position accuracy using Physical Random Access Channel (PRACH), the method comprising:
receiving a preamble signal r(n) having a predetermined sampling frequency and a predetermined length;
performing signal conditioning on r(n) to provide a r_centered(n) signal;
down sampling the r_centered(n) signal by a factor of 24 and performing antialiasing filtering to provide a y(n) signal;
correlating the down sampled version of the received preamble y(n) with a reference preamble sequence c(n) using a Fast Fourier transform (FFT) method to provide correlation output Ryc;
using a peak value P of the correlation output Ryc to detect a preamble ID and a timing advance at a resolution of 16Ts, wherein a Ts is 1/30720000 seconds;
constructing a sequence s(n) by segmenting r_centered(n) for length L around an index P*24, wherein L is a number of Lags;
performing time domain interpolation of c(n) around index P to obtain a sequence c_interpolated(n);
performing time domain interpolation between sequences s(n) and c_interpolated(n);
detecting a peak position Q of the correlation; and
deriving TA as P*24 L/2+q in terms of Ts, wherein TA is a Timing Advance and q is an offset value.
2. The method of claim 1 wherein the preamble signal predetermined sampling frequency comprises 30.72 Million samples per second (sps).
3. The method of claim 1 wherein the preamble signal predetermined length comprises 27744 samples in length.
4. The method of claim 1 further comprising conditioning the preamble signal after the receiving a preamble signal.
5. The method of claim 4 wherein conditioning the preamble includes removing a cyclic prefix and extracting only a preamble sequence.
6. The method of claim 4 further comprising positioning of the signal in the frequency domain by a factor n_PRB_Offset, wherein the signal is shifted in frequency by the n_PRB_Offset so that the signal is centered about Direct Center (DC).
7. The method of claim 1 further comprising correlating the sequence y(n) with the reference preamble sequence c(n) using the FFT method Ryc=ifft{Y(k)·C*(k)}, where Y(k) and C(k) are 1024-point FFT of y(n) and c(n) respectively.