In this paper, the modified inverse chebyshev low-pass function is analyzed in the frequency domain, time domain, and sensitivity characteristics as compared with the classical inverse chebyshev function. Unlike the classical function, the modified function exhibits progressively diminishing ripples in the stopband. So, the modified function has a great attenuation throughout the stopband except at the vicinity of a stop frequency and can be realizable in the passive doubly-terminated ladder network for the even order. The poles of the modified function move towards real axis by the effect of diminishing ripples. Thus the pole-Q, which is one of the valuable measurements to estimage the function characteristics, is reduced without increasing order. In the frequency and can be realizable in the passive doubly-terminated ladder network to examine the magnitude and pole-Q sensitivities.