# Comparison of L1 and L5 Bands GNSS Signals Acquisition
## 4 Application to GPS and Galileo Signals
### Comparison of GPS L1 C/A and L5 Signals Acquisition
#### 4.2.2 Determination of Ratio of Complexity for One Frequency Bin
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Implementation**} & \multirow{2}{*}{\(\mathbf{K}\)} & \multirow{2}{*}{\(\mathbf{N_{\text{NC}}}\)} & \multirow{2}{*}{\(\mathbf{N_{\text{A}}}\)} & \multirow{2}{*}{\(\mathbf{B_{\text{C}}}\)} & \multirow{2}{*}{\(\mathbf{B_{\text{NC}}}\)} & \multirow{2}{*}{\(\mathbf{T_{\text{TB}}}\)} & \multicolumn{2}{c}{**Ratio of \(\mathbf{T_{\text{TB}}}\)**} & \multirow{2}{*}{\(\mathbf{M}\)} & \multicolumn{2}{c}{**Ratio**} & \multicolumn{2}{c}{**Product of \(\mathbf{Ratios}\)**} \\ \cline{5-10}  & & & & & & & & & & & \\ \hline L1 C/A Parallel NC & 23 & 23 & 20 & 21 & 26 & 1,968,128 & & 2,785,280 & & \\ L5 Parallel NC & 16 & 16 & 20 & 21 & 25 & 21,057,536 & 10.7 & 27,443,200 & 9.9 & 105.4 \\ L5 Semi-parallel NC & 16 & 16 & 10 & 21 & 25 & 42,029,056 & 21.4 & 13,751,600 & 4.9 & 105.2 \\ L5 Semi-parallel NC & 16 & 16 & 9 & 21 & 25 & 63,000,576 & 32.0 & 12,349,440 & 4.4 & 141.9 \\ L5 Semi-parallel NC & 16 & 16 & 8 & 21 & 25 & 63,000,576 & 32.0 & 10,977,280 & 3.9 & 126.2 \\ L5 Semi-parallel NC & 16 & 16 & 7 & 21 & 25 & 63,000,576 & 32.0 & 9,605,120 & 3.4 & 110.4 \\ L5 Semi-parallel NC & 16 & 16 & 6 & 21 & 25 & 83,972,096 & 42.7 & 8,232,960 & 3.0 & 126.1 \\ L5 Semi-parallel NC & 16 & 16 & 5 & 21 & 25 & 83,972,096 & 42.7 & 6,860,800 & 2.5 & 105.1 \\ L5 Semi-parallel NC & 16 & 16 & 4 & 21 & 25 & 104,943,616 & 53.3 & 5,488,640 & 2.0 & 105.1 \\ L5 Semi-parallel NC & 16 & 16 & 3 & 21 & 25 & 146,866,656 & 74.6 & 4,116,480 & 1.5 & 110.3 \\ L5 Semi-parallel NC & 16 & 16 & 2 & 21 & 25 & 209,801,216 & 106.6 & 2,744,320 & 1.0 & 105.0 \\ L5 Serial NC & 16 & 16 & 1 & 21 & 25 & 419,516,416 & 213.2 & 1,372,160 & 0.5 & 105.0 \\ L5 Parallel C & 7.30 & 1 & 20 & 24 & - & 9,654,272 & 4.9 & 19,660,800 & 7.1 & 34.6 \\ L5 Semi-parallel C & 7.30 & 1 & 10 & 24 & - & 19,222,528 & 9.8 & 9,830,400 & 3.5 & 34.5 \\ L5 Semi-parallel C & 7.30 & 1 & 9 & 24 & - & 28,790,784 & 14.6 & 8,847,360 & 3.2 & 46.5 \\ L5 Semi-parallel C & 7.30 & 1 & 8 & 24 & - & 28,790,784 & 14.6 & 7,864,320 & 2.8 & 41.3 \\ L5 Semi-parallel C & 7.30 & 1 & 7 & 24 & - & 28,790,784 & 14.6 & 6,881,280 & 2.5 & 36.1 \\ L5 Semi-parallel C & 7.30 & 1 & 6 & 24 & - & 38,359,040 & 19.5 & 5,898,240 & 2.1 & 41.3 \\ L5 Semi-parallel C & 7.30 & 1 & 5 & 24 & - & 47,927,296 & 24.4 & 3,932,160 & 1.4 & 34.4 \\ L5 Semi-parallel C & 7.30 & 1 & 3 & 24 & - & 67,063,808 & 34.1 & 2,949,120 & 1.1 & 36.1 \\ L5 Semi-parallel C & 7.30 & 1 & 2 & 24 & - & 95,768,576 & 48.7 & 1,966,080 & 0.7 & 34.3 \\ L5 Serial C & 7.30 & 1 & 1 & 24 & - & 191,451,136 & 97.3 & 983,040 & 0.4 & 34.3 \\ L1 C/A Parallel + assist. & 20 & 20 & 20 & 21 & 26 & 1,722,268 & 2,785,280 & 1.0 & \\ L5 Serial NC + assist. & 13 & 13 & 1 & 21 & 25 & 21,057,536 & 12.2 & 1,372,160 & 0.5 & 6.0 \\ L5 Serial C + assist. & 6.00 & 1 & 1 & 23 & - & 7,950,336 & 4.6 & 942,080 & 0.3 & 1.6 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Processing time (clock cycle) and memory requirements (bit) of the different implementations for a sensitivity of \(-150\) dBm with average losses. Ratios are computed with the values of the L1 C/A signal.