The transform preserves stability and maps every point of the frequency response of the continuous-time filter, formula_7 to a corresponding point in the frequency response of the discrete-time filter, formula_8 although to a somewhat different frequency, as shown in the Frequency warping section below. This means that for every feature that one sees in the frequency response of the analog filter, there is a corresponding feature, with identical gain and phase shift, in the frequency response of the digital filter but, perhaps, at a somewhat different frequency. This is barely noticeable at low frequencies but is quite evident at frequencies close to the Nyquist frequency.