The direct application of interpolation, smoothing or mean-value algorithms to complex valued frequency response data may cause interference patterns and, due to this, not yield the expected result. This paper demonstrates the effect of the use of continuous phase in a variety of example-applications, such as interpolation between two frequency response curves, complex smoothing with down-sampling using a logarithmic grid and forming mean values of a set of complex frequency response curves. The continuous phase-approach takes into account the multi-valued property of the exponential function of the phase term.
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