Meter electronics for a flow measurement apparatus, said meter electronics comprising: a processing system configured to: specify a low flow cutoff value (204, 304, 404) representing a material flow below which said flow measurement apparatus will not generate an output signal representing a true material flow; sample data points of a fluid signal (201, 208, 308, 301, 315, 401, 430, 422) representing flow information generated by said flow measurement apparatus; compare the sampled data points with the low flow cutoff value; determine a zero flow sampling state if the sampled data points fall below the low flow cutoff value; establish an adaptively changing set of deviation limits (202, 203, 302, 303, 402, 403) that track a spurious flow signal, if the zero flow sampling state is determined; the deviation limits comprising upper and lower deviation limits calculated as follows: μ l = μ + σ A ll = μ − σ A Where: μl, ll = the upper and lower deviation limits respectively, μ = the average of previous N samples of the fluid signal, σ = the standard deviation of the previous N samples, A = the number of standard deviations away from the average; determine whether a subsequent sampled data point of the fluid signal is within said deviation limits; define spurious flow information, if the sampled data point is within said deviation limits; and prevent said spurious flow information from said applied to an output of said flow measurement apparatus; define true material flow information, if the sampled data point is outside of said deviation limits, and generate an output signal representing the true material flow information; continue to sample data points of the fluid signal, and turn off the step of establishing the deviation limits and determining whether a sampled data point of the fluid signal is within said deviation limits until the sampled data points fall again below the low flow cutoff value. specify a low flow cutoff value (204, 304, 404) representing a material flow below which said flow measurement apparatus will not generate an output signal representing a true material flow; sample data points of a fluid signal (201, 208, 308, 301, 315, 401, 430, 422) representing flow information generated by said flow measurement apparatus; compare the sampled data points with the low flow cutoff value; determine a zero flow sampling state if the sampled data points fall below the low flow cutoff value; establish an adaptively changing set of deviation limits (202, 203, 302, 303, 402, 403) that track a spurious flow signal, if the zero flow sampling state is determined; the deviation limits comprising upper and lower deviation limits calculated as follows: μ l = μ + σ A ll = μ − σ A Where: μl, ll = the upper and lower deviation limits respectively, μ = the average of previous N samples of the fluid signal, σ = the standard deviation of the previous N samples, A = the number of standard deviations away from the average; μl, ll = the upper and lower deviation limits respectively, μ = the average of previous N samples of the fluid signal, σ = the standard deviation of the previous N samples, A = the number of standard deviations away from the average; determine whether a subsequent sampled data point of the fluid signal is within said deviation limits; define spurious flow information, if the sampled data point is within said deviation limits; and prevent said spurious flow information from said applied to an output of said flow measurement apparatus; define true material flow information, if the sampled data point is outside of said deviation limits, and generate an output signal representing the true material flow information; continue to sample data points of the fluid signal, and turn off the step of establishing the deviation limits and determining whether a sampled data point of the fluid signal is within said deviation limits until the sampled data points fall again below the low flow cutoff value.