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This paper analyzes the inherent limitations of the magnitude response in non-negative impulse response (NNIR) systems that are not of the lowpass type. In particular, this work shows the importance of the frequency response around the point of zero frequency and its effect on the achievable gain increases at higher frequencies. The findings are shown to serve as a guiding principle for the design...
This paper presents fundamental limitations imposed on the frequency response of a filter by a non-negative impulse response (NNIR). Several upper-bounds on power spectral attenuation/gain in linearly spaced frequency regions are derived. These upper-bounds serve as a guide in the design of NNIR filters.
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