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Schematic of half-wave and full-wave rectification of a sinusoidal time-dependent input voltage.
Solutions for uniform amplitudes. (a) The probability density function for scaled voltage y ( ≡ 1) for a varying number N of frequency components. By N = 5, the result is almost indistinguishable from the asymptotic limit. (b) Rectification efficiency (solid circles) as a function of N. The limiting values of 8/π2 for N = 1 and 2/π for N → ∞ (vide infra) are indicated by the dashed lines.
Illustration of cascaded full-wave rectification (limited to two stages for illustrative purposes). The graphs show the full-wave voltage of the first stage (solid red curves), the corresponding second-stage signal from which the DC component output of the first stage has been removed (dashed blue curves), and the DC values of both (horizontal dotted lines). (a) For a single unit-amplitude sine wave (N = 1). The DC output of the first stage is simply the average of the sine function, 2/π. (b) Scaled voltage y ( ≡ 1) for a broadband incoherent signal (N → ∞) with constant amplitudes. As noted in Eq. (7) , the DC output of the first stage is √(2/π).
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