Until now nothing specific is formally defined for 5G requirement, I think it will be highly probable that the system bandwidth will get extended to at least a couple of hundreds MHz. There will be a lot of issues related to RF (when using millimeter wave) but there will also be tough challenges at base-band level. The first question you would have would be "what would be the sampling rate ?". If the system bandwidth at carrier frequency level is a couple of MHz, the sampling rate at base-band level should be several MHz BW.
It means that you need ADC which can sample and convert at several MHz rate. You may think this would not be a big issue since you may have seen various digital oscilloscope which covers even a couple of Gb sampling rate. This kind of super high frequency ADC is already used in various area especially high end digital oscilloscope. But those high frequency sampling is not done by a single ADC. It is done by multiple ADCs working in parallel and sampling in interleaving pattern. To make this kind of sampling work properly, very complicated hardware design and control algorithm are required. To make this kind of technology usable for a mobile device which should not be as expensive and bulky as a high end digital oscilloscope, great deal of improvement on ADC/DAC technology is required as well.