Localization with global navigation satellite systems provides an accuracy of about ten meters, but this depends on the environment and the weather. An alternative or enhancement to satellite systems is the terrestrial mobile communication networks. This enables to achieve availability and accuracy even in urban canyons or indoor conditions. The localization technique studied in this work is based on the multiple-input multiple-output technology where terrestrial access points are composed of antenna arrays. For the next generations of mobile communication systems, the users are expected to be in the near-field region of the access points, where the plane-wave approximation is no longer accurate. In the context of communication, beam focusing on a single point is possible in the near-field region, and separation in the range domain becomes achievable in addition to the angular domain. This is indicated by the interference figure characterizing the power received around the focus point. In the context of localization, the achievable precision and resolution can be characterized thanks to the ambiguity function, which has the same properties as the interference figure. In this work, these two metrics are grouped under the terminology of estimation performance. The range estimation performance for localization in near-field has already been investigated but only for narrowband signals. For a wideband signal in the near-field region, the performance of the range estimation depends on a combination of the near-field effect and the influence of the bandwidth. The goal of this work is to fill this gap and characterize the combination of these two effects, namely the near-field scenario and wideband signalling, on the localization performance. To this end, the analytical expression of the ambiguity function is derived, and a condition is obtained to determine which effect is predominant for the estimation performance.