Time-domain effects of UWB disc monopole antenna as transmit antenna, receive antenna, and transmit–receive antenna pair have been investigated using different types of signal excitations. Several noted literature have performed the same by calculating either first or second-order derivatives of the input, thereby creating an ambiguity of computational approaches. The response is also reported to change with a change in pulse width. This paper aims to obviate the ambiguity in time domain response from the transfer function perspective. The concept is established in the paper by implementing a co-planar waveguide (CPW) fed disc monopole antenna with upconverted and baseband input excitation. Findings reveal that the uniqueness of frequency response in determining the effect of antenna rather than the conventional method, and the existing jeopardy of the temporal derivative is henceforth removed. Subsequently, the singularity expansion method has been applied to characterize and optimize the antenna.