Table 5 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 \(f_{2,l=1} = 5955\) MHz, \(f_{2,l=2} = 5951\) MHz, \(f_{2,l=3} = 5952\) 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. 19 ) | |||||
(\(f_{s,l=1} = f_{s,l=2} = f_{s,l=3} = 5.2\) GSPS) | |||||
1 | 0.65 | 5955 | \(-6.40587 \times 10^{-10}\) | 0.00999987 | − 12.6251 |
2 | 3.25 | 5951 | 0 | 0.01 | − 0.43865 |
3 | 5.87 | 5952 | 0 | 0.00999999 | − 1.02269 |
Single sample rate (Fig. 20 ) | |||||
(\(f_{s,l=1} = f_{s,l=2} = f_{s,l=3} = 1\) GSPS) | |||||
1 | 0.65 | 5955 | 0 | 0.0 | − 280.47 |
2 | 3.25 | 5951 | \(-3.20509 \times 10^{-10}\) | 0.0 | − 14.4913 |
3 | 5.87 | 5952 | \(1.60228 \times 10^{-10}\) | 0.0 | − 41.6746 |
Single sample rate (Fig. 21 ) | |||||
(\(f_{s,l=1} = f_{s,l=2} = f_{s,l=3} = 65\) MSPS) | |||||
1 | 0.65 | 5955 | 0 | 0.00999998 | − 2.14798 |
2 | 3.25 | 5951 | \(-6.41018\times 10^{-10}\) | 0.01 | − 0.315717 |
3 | 5.87 | 5952 | \(2.08296 \times 10^{-9}\) | 0.00999999 | − 1.24617 |
Dynamic sample rate with \(N_M=24\) (Fig. 22 ) | |||||
( \(f_{s,l=1} = 240\) MHz, \(f_{s,l=2} = 48\) MHz, \(f_{s,l=3} = 96\) MHz) | |||||
1 | 0.65 | 5955 | \(2.4022 \times 10^{-9}\) | 0.01 | 427.162 |
2 | 3.25 | 5951 | \(-1.50639 \times 10^{-8}\) | 0.01 | 426.913 |
3 | 5.87 | 5952 | \(2.29414 \times 10^{-6}\) | 0.01 | 363.589 |