Table 3 Comparison of weak signal parameter estimates \(\tilde{f}_2\) and \(\tilde{R}_2\) obtained using a dynamic sample rate with estimates obtained using a single sample rate for \(N=2\) simultaneous signals for weak signal parameters \(f_{2,l=1} = 855\) MHz, \(f_{2,l=2} = 851\) MHz, \(f_{2,l=3} = 852\) MHz, and \(R_{2,l=1} = R_{2,l=2} = R_{2,l=3} = 0.01\)
From: Multi-tier dynamic sampling weak RF signal estimation theory
l | t | \(\tilde{f}_2\) | \(\frac{\tilde{f}_{2,1} - f_{2,1} }{f_{2,1}}\) | \(\tilde{R}_2\) | \(\frac{\tilde{R}_{2,1} - R_{2,1} }{R_{2,1}}\) |
|---|---|---|---|---|---|
(\(\upmu\)s) | (MHz) | (PPM) | (PPM) | ||
Single sample rate (Fig. 5) | |||||
(\(f_{s,l=1} = f_{s,l=2} = f_{s,l=3} = 5.2\) GSPS) | |||||
1 | 0.65 | 855 | \(1.673 \times 10^{-9}\) | 0.00999967 | − 12.626 |
2 | 3.25 | 851 | \(-1.4008 \times 10^{-10}\) | 0.01 | − 0.435 |
3 | 5.87 | 852 | \(-4.1975 \times 10^{-10}\) | 0.00999999 | − 1.022 |
Single sample rate (Fig. 5) | |||||
(\(f_{s,l=1} = f_{s,l=2} = f_{s,l=3} = 1\) GSPS) | |||||
1 | 0.65 | 855 | \(1.394\times 10^{-10}\) | 0.0099972 | − 280.47 |
2 | 3.25 | 851 | 0 | 0.00999986 | − 14.49 |
3 | 5.87 | 852 | \(-1.399\times 10^{-9}\) | 0.00999958 | − 41.67 |
Single sample rate (Fig. 5) | |||||
(\(f_{s,l=1} = f_{s,l=2} = f_{s,l=3} = 65\) MSPS) | |||||
1 | 0.65 | 855 | 0 | 0.0110381 | 103813 |
2 | 3.25 | 851 | 0 | 0.00997808 | − 2192.43 |
3 | 5.87 | 852 | -0.0925723 | 0.0100322 | 3219.53 |
Dynamic sample rate with\(N_M=24\)(Fig. 12) | |||||
(\(f_{s,l=1} = 240\) MHz,\(f_{s,l=2} = 48\) MHz,\(f_{s,l=3} = 96\) MHz) | |||||
1 | 0.65 | 855 | \(3.137 \times 10^{-8}\) | 0.01 | 427.17 |
2 | 3.25 | 851 | \(-1.129 \times 10^{-7}\) | 0.01 | 426.90 |
3 | 5.87 | 852 | \(1.602 \times 10^{-5}\) | 0.01 | 363.60 |