Single-point sampling optimization method and system for frequency response measurement

A single-point sampling optimized method for frequency response measurement, comprising the following steps:

• S1, setting the start frequency, the end frequency, and the total number of sampling points for sampling;
• S2, sampling a plurality of points within a range of the start frequency and the end frequency as initial information;
• S3, according to the initial information obtained in step S2, using the trapezoidal rule to estimate interpolation error of each sub-frequency band divided by known sampling points, using the trapezoidal rule to estimate the interpolation error specifically being:
• for a sub-frequency band [fi, fi+1, fi+2] formed by any three consecutive sampling points, connecting sampling values of the sub-frequency band [fi, fi+1, fi+2] to form a triangle, an area of the triangle being nearly three times the interpolation error of the sub-frequency band, taking all sampled points one by one as starting points to construct triangles, calculating the corresponding area of the triangle, estimating interpolation errors of all the sub-frequency bands, N sampling points respectively constructing N−2 triangles for gain and phase, and a total of 2N−4 corresponding interpolation errors being provided;
• S4, selecting the sub-frequency band with maximum interpolation error from the interpolation errors of all the sub-frequency bands estimated in step S3;
• S5, newly adding a sampling point in the sub-frequency band with maximum interpolation error selected in step S4;
• and
• S6, repeating step S3 to step S5 until the number of sampling points reaches the total number of sampling points set in step S1, and ending sampling.