High resolution linear time-frequency analysis method
A high-resolution, time-frequency analysis technology, applied in the field of high-resolution linear time-frequency analysis, can solve the problems of complex modulation signal processing performance that needs further investigation, limited analysis of linear frequency modulation signals, and large amount of calculations
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Embodiment 1
[0082] The implementation steps of a high-resolution linear time-frequency analysis method using sliding interception are as follows:
[0083] Step 1: Sliding interception of the signal to be analyzed to obtain sub-segment observation data.
[0084] 1a) Assuming Δω is the expected instantaneous frequency resolution of time-frequency analysis, it can be known from the uncertainty principle that the analysis window function width Δt in the short-time Fourier transform linear time-frequency analysis method satisfies the following relationship:
[0085] ΔtΔω≥0.5
[0086] From "Modern Signal Processing", Tsinghua University Press, 2002, p. 362
[0087] In order to obtain the highest time resolution in the time-frequency analysis results, the width of the analysis window function in the short-time Fourier transform linear time-frequency analysis method should take the minimum value, that is
[0088] Δ t = 1 2 ...
Embodiment 2
[0133] The implementation steps of a high-resolution linear time-frequency analysis method using block interception are as follows:
[0134] Step 1. Intercept the signal to be analyzed in blocks to obtain sub-segment observation data.
[0135] 1a) Assuming Δω is the expected instantaneous frequency resolution of time-frequency analysis, it can be known from the uncertainty principle that the analysis window function width Δt in the short-time Fourier transform linear time-frequency analysis method satisfies the following relationship:
[0136] ΔtΔω≥0.5
[0137] From "Modern Signal Processing", Tsinghua University Press, 2002, p. 362,
[0138] In order to obtain the highest time resolution in the time-frequency analysis results, the width of the analysis window function in the short-time Fourier transform linear time-frequency analysis method should take the minimum value, namely:
[0139] Δ t = 1 2 ...
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