| 摘要 |
A ultrasonic flow measuring device, which is distinguished by a low energy consumption. A control/evaluation unit ascertains a plurality of sampled values (a<SUB>i </SUB>with i=1, 2, 3, . . . ) of a received measuring signal at defined points in time (t) of a predetermined time range and interpolates the sampled values by a continuous function (f(t)), wherein the continuous function (f(t)) is formed by a sum of a predetermined number (n ∈ N) of wavelets (W) and wherein each wavelet (W) corresponds to the product of a sampled value with a sine function <maths id="MATH-US-00001" num="00001"> <MATH OVERFLOW="SCROLL"> <MROW> <MO>(</MO> <MFRAC> <MROW> <MI>sin</MI> <MO></MO> <MROW> <MO>(</MO> <MI>x</MI> <MO>)</MO> </MROW> </MROW> <MI>x</MI> </MFRAC> <MO>)</MO> </MROW> </MATH> </MATHS> and with a Gaussian bell curve (e<SUP>-alphax</SUP><SUP><SUP2>2</SUP2></SUP>, alpha ∈ R).
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