| 摘要 |
A method to determine the magnitude M A of a signal component (1) with frequency É A from a set of N digital samples of an input signal (3) acquired at a sampling rate R, said input signal (3) having a discrete spectral representation (2) containing n bins with frequencies É 1 ,...,± n and corresponding magnitudes M 1 ,...,M n , said spectral representation (2) being derivable from said input signal (3) by means of a transform (4), wherein
€¢ an extraction bin (5) with index k ˆˆ [1,..., n ] and frequency É k ‰ É A is chosen from the spectral representation (2), and the magnitude M k of this extraction bin (5) is determined;
€¢ an allocation factor (6) is determined, said allocation factor (6) indicating a portion M ks of a sinusoidal signal (7) with frequency É A and unity magnitude that is allocated to the extraction bin (5) when the transform (4) is applied to said sinusoidal signal (7) to generate a spectral representation (8) out of said sinusoidal signal (7);
€¢ the magnitude M A of the signal component (1) is determined from the magnitude M k of the extraction bin (5) in combination with the allocation factor (6). |
