| 摘要 |
An improved method for non-harmonic waveform analysis that permits freedom of selecting intervals and/or frequencies (or periods) for analysis is disclosed. An arbitrary interval of a discrete waveform is multiplied by a sine function having an arbitrary period and the product is summed over the interval to derive a first summation. Similarly, the waveform is multiplied by a cosine function having the same period and the product is summed over the interval to provide a second summation. The sine and cosine functions are multiplied together and the product is summed over the interval to provide a third summation. The sine function is squared and summed over the interval to provide a fourth summation. Similarly, the cosine function is squared and summed over the interval to provide a fifth summation. Based on the five summation values, sinusoids contained n the discrete waveform are detected by subtracting each sinusoid from the discrete waveform to provide an associated residual waveform and detecting each residual waveform whose power is a local minimum as a result of varying the period.
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