# Comparison of L1 and L5 Bands GNSS Signals Acquisition
## 4 Application to GPS and Galileo Signals
### Comparison of Galileo E1 and E5 Signals Acquisition
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Signal** & \(\mathbf{f_{\rm S}}\) & \(\mathbf{N_{\rm P}}\) & \(\mathbf{N_{\rm FFT}}\) & \(\mathbf{N_{\rm Z}}\) & \(\mathbf{N_{\rm D}}\) & \(\mathbf{N_{\rm S}}\) & \(\mathbf{B_{\rm R}}\) \\ \hline E1 & 4.096 MHz & 16,384 & 32,768 & 0 & - & 25 & 16 \\ E1 & 6.144 MHz & 24,576 & 65,536 & 16,384 & - & 25 & 16 \\ E5a & 20.48 MHz & 20,480 & 65,536 & 24,576 & - & 100 & 16 \\ \hline \end{tabular}
\end{table} 
Table 14: Parameters independent of the integration time selected for Galileo signals. Table 15 summarizes all this information. The values for the unlimited \(T_{\rm C}\) case are considered the same, although the number of frequency bins should be adapted, as already mentioned in Section 4.2. Next, the coherent and total integration times can be estimated following Figure 11, and the values are summarized in Tables 16 and 17, considering the average and worst case regarding the implementation losses (same losses as for GPS signals). It can be seen that the integration times are very similar for the both sampling frequencies with the E1 signals. However, the integration time with the E5 signal is much lower in general, thanks to its power that is 2 dB higher. Then, Table 18 then shows the ratio of the total integration time between several cases to quantify the impact of using unlimited coherent integration time and assistance with Galileo signals. It confirms the outcomes of Table 7 that the best way to reduce the total integration time is to increase the coherent \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Context** & **Signal** & \(T_{\rm C}\) & \(-140\) **dBm** & \(-145\) **dBm** & \(-150\) **dBm** & \(-155\) **dBm** & \(-160\) **dBm** \\ \hline \multirow{5}{*}{no} & E1 (4.096) & 100 ms & 100 \(\times\) 1 = 100 & 100 \(\times\) 1 = 100 & 100 \(\times\) 5 = 500 & 100 \(\times\) 24 = 2400 & 100 \(\times\) 179 = 17,900 \\  & E1 (6.144) & 100 ms & 100 \(\times\) 1 = 100 & 100 \(\times\) 1 = 100 & 100 \(\times\) 5 = 500 & 100 \(\times\) 25 = 2500 & 100 \(\times\) 182 = 18,200 \\  & E5 & 100 ms & 100 \(\times\) 1 = 100 & 100 \(\times\) 1 = 100 & 100 \(\times\) 3 = 300 & 100 \(\times\) 13 = 1300 & 100 \(\times\) 82 = 2800 \\  & E1 (6.144) & unlimited & 100 \(\times\) 1 = 100 & 100 \(\times\) 1 = 100 & 400 \(\times\) 1 = 400 & 1000 \(\times\) 1 = 1000 & 3100 \(\times\) 1 = 3100 \\  & E5 & unlimited & 100 \(\times\) 1 = 100 & 100 \(\times\) 1 = 100 & 300 \(\times\) 1 = 300 & 700 \(\times\) 1 = 700 & 2100 \(\times\) 1 = 2100 \\ \hline \multirow{5}{*}{assistance} & E1 (4.096) & 100 ms & 100 \(\times\) 1 = 100 & 100 \(\times\) 1 = 100 & 100 \(\times\) 4 = 400 & 100 \(\times\) 19 = 1900 & 100 \(\times\) 137 = 13,700 \\  & E1 (6.144) & 100 ms & 100 \(\times\) 1 = 100 & 100 \(\times\) 1 = 100 & 100 \(\times\) 4 = 400 & 100 \(\times\) 19 = 1900 & 100 \(\times\) 139 = 13,900 \\  & E5 & 100 ms & 100 \(\times\) 1 = 100 & 100 \(\times\) 1 = 100 & 100 \(\times\) 2 = 200 & 100 \(\times\) 9 = 9000 & 100 \(\times\) 59 = 5900 \\  & E1 (4.096) & unlimited & 28 \(\times\) 1 = 28 & 80 \(\times\) 1 = 248 & 776 \(\times\) 1 = 776 & 2452 \(\times\) 1 = 2452 \\  & E1 (6.144) & unlimited & 28 \(\times\) 1 = 28 & 80 \(\times\) 1 = 80 & 252 \(\times\) 1 = 252 & 788 \(\times\) 1 = 788 & 2488 \(\times\) 1 = 2488 \\  & E5 & unlimited & 16 \(\times\) 1 = 16 & 49 \(\times\) 1 = 49 & 154 \(\times\) 1 = 154 & 487 \(\times\) 1 = 487 & 1540 \(\times\) 1 = 1540 \\ \hline \hline \end{tabular}
\end{table} 
Table 16: Total integration time \(T_{\rm IT}=T_{\rm C}\times N_{\rm NC}\) as function of the sensitivity and context with Galileo signals, for average losses. Note that the sensitivities given are for the L1 C/A signal; those of E1 are 1.5 dB lower and those of E5 are 0.5 dB higher.