Wave filtering method
A filter and pulse echo technology, which is applied in the field of filters, can solve the problems of small calculation amount, achieve the effect of small calculation amount, improve signal-to-noise ratio, and realize convenience
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[0031] The technical solutions of the present invention will be further described below in conjunction with the accompanying drawings and embodiments.
[0032] 1. Principle analysis
[0033] Suppose the transmitted pulsed ultrasonic signal is f(t), its spectrum is F(jω), the echo signal modulated by the measured parameter is x(t), its spectrum is X(jω), and the additive noise is n( t), its spectrum is N(jω), then the echo signal received by the instrument is y(t), and its corresponding spectrum is Y(jω). There is the following relationship between them
[0034] y(t)=x(t)+n(t) (1)
[0035] Y(jω)=X(jω)+N(jω) (2)
[0036] In the formula, ω is the angular frequency, the unit is rad / s, and the common frequency f, the unit is Hz, the relationship is ω=2πf. Here the frequency band of the signal x(t) is limited, while the noise n(t) is broadband. The two frequency bands can be overlapping or separate.
[0037] Assuming that the transmitted pulsed ultrasonic signal has a Gaussian...
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