Fundamental properties of non-negative impulse response filters - Theoretical bounds I
نویسندگان
چکیده
This paper presents several fundamental frequency-domain bounds for a non-negative impulse response (NNIR) filter. Upper-bounds on power spectral attenuation and power spectral gain in geometrically spaced frequency regions are derived, when power spectral attenuation near frequency zero is limited. By analyzing the tightnesses of these bounds, the relationship between the maximally allowable power attenuation and gain is also treated. All results hold for both continuous and discrete-time domains.
منابع مشابه
Fundamental properties of non-negative impulse response filters - Theoretical bounds II
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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