Re: linearity
linearity means your filter work in that rang linearity and produce output as a linear function of input
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The dynamic range of a signal processing system can be defined as the maximum dB level sustainable without overflow (or other distortion) minus the dB level of the "noise floor''.
Similarly, the dynamic range of a signal can be defined as its maximum decibel level minus its average "noise level'' in dB. For digital signals, the limiting noise is ideally quantization noise.