Table 1 Estimated (\({\tilde{\sigma }}_{{Y}_{md+b}}^{2}\)(θ)) and calculated (\({\sigma }_{{Y}_{{Y}_{md+b}}}^{2}\)) variance of the side frequencies around the 1st UPWM carrier harmonic for four input signals with four different window sizes.
From: Spectrum analysis of digital UPWM signals generated from random modulating signals
Signal/number of samples | \({\tilde{\sigma }}_{{Y}_{md+b}}^{2}\)(θ) vs \({\tilde{\sigma }}_{{Y}_{md+b}}^{2}\) | |||||||
|---|---|---|---|---|---|---|---|---|
1764 | 8820 | 44,100 | 220,500 | |||||
Equation (37) | Equation (19) | Equation (37) | Equation (19) | Equation (37) | Equation (19) | Equation (37) | Equation (19) | |
Arcsine | 3.74E−05 | 3.81E−05 | 7.78E−06 | 7.64E−06 | 1.49E−06 | 1.50E−06 | 2.99E−07 | 3.00E−07 |
Normal | 5.00E−06 | 5.02E−06 | 9.84E−07 | 1.01E−06 | 2.03E−07 | 2.00E−07 | 4.10E−08 | 4.01E−08 |
Laplace | 2.36E−06 | 2.60E−06 | 5.43E−07 | 4.97E−07 | 1.05E−07 | 1.03E−07 | 2.10E−08 | 2.06E−08 |
Uniform | 2.82E−05 | 2.90E−05 | 5.77E−06 | 5.77E−06 | 1.17E−06 | 1.15E−06 | 2.40E−07 | 2.30E−07 |
