Table 4 Comparison of weak signal parameter estimates \(\tilde{f}_2\)and \(\tilde{R}_2\) obtained with dynamic sample rate with estimates obtained with a single sample rate for \(N=2\) simultaneous signals for weak signal parameters \(f_{2,l=1} = 3955\) MHz, \(f_{2,l=2} = 3951\) MHz, \(f_{2,l=3} = 3952\) 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. 4 ) | |||||
(\(f_{s,l=1} = f_{s,l=2} = f_{s,l=3} = 5.2\) GSPS) | |||||
1 | 0.65 | 3955 | − 2.41131\(\times 10^{-10}\) | 0.00999987 | − 12.626 |
2 | 3.25 | 3951 | − 2.74841\(\times 10^{-6}\) | 0.01 | − 0.434484 |
3 | 5.87 | 3952 | 1.80986\(\times 10^{-9}\) | 0.00999999 | − 1.02269 |
Single sample rate (Fig. 4 ) | |||||
(\(f_{s,l=1} = f_{s,l=2} = f_{s,l=3} = 1\) GSPS) | |||||
1 | 0.65 | 3955 | \(3.61697 \times 10^{-10}\) | 0.0099972 | − 280.47 |
2 | 3.25 | 3951 | \(3.62063 \times 10^{-10}\) | 0.00999986 | − 14.4905 |
3 | 5.87 | 3952 | \(7.23943 \times 10^{-10}\) | 0.00999958 | − 41.6729 |
Single sample rate (Fig. 4 ) | |||||
(\(f_{s,l=1} = f_{s,l=2} = f_{s,l=3} = 65\) MSPS) | |||||
1 | 0.65 | 3955 | 0 | 0.00999998 | − 2.14799 |
2 | 3.25 | 3951 | \(4.82751 \times 10^{-10}\) | 0.01 | − 0.316919 |
3 | 5.87 | 3952 | \(-2.41314 \times 10^{-10}\) | 0.00999999 | − 1.24296 |
Dynamic sample rate with\(N_M=24\)(Fig. 16 ) | |||||
(\(f_{s,l=1} = 240\) MHz,\(f_{s,l=2} = 48\) MHz,\(f_{s,l=3} = 96\) MHz) | |||||
1 | 0.65 | 3955 | 0 | 0.01 | − 280.47 |
2 | 3.25 | 3951 | \(-4.82751 \times 10^{-10}\) | 0.01 | − 14.4904 |
3 | 5.87 | 3952 | \(1.20657 \times 10^{-10}\) | 0.01 | − 41.6727 |