Measurement method for periodic signal effective value
A measurement method and periodic signal technology, applied in the field of metrology, can solve problems such as high hardware requirements and software algorithms, large memory resources for periodic signals, occupation of CPU system memory and running time, etc., to achieve good applicability and suppress external interference.
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[0021] Example 1: Assuming any periodic signal x(t), the DC bias voltage V DC : 0DC DC Satisfy: VCC>(x(t)+V DC )>0. u c (t) is a non-negative symmetrical triangular wave signal, which satisfies: Among them: the period is T C , the frequency is f C , the amplitude is VCC. x(t)+V DC with u c (t) relation as figure 1 Shown:
[0022] because:
[0023]
[0024] and:
[0025]
[0026]
[0027] so:
[0028]
[0029] also because:
[0030]
[0031] F:
[0032]
[0033] in:
[0034] because:
[0035]
[0036] so:
[0037]
[0038] When T C Very small, there are:
[0039]
[0040] For any periodic signal x(t) with period T, according to the effective value X rms The definition of can be seen:
[0041]
[0042] When T C When smaller, there are:
[0043]
[0044] Where: k≥0. F:
[0045]
[0046] Combine formulas (9) and (12) to get:
[0047]
[0048] which is:
[0049]
[0050] If v is known c (t) period T c and ampl...
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