Telecommunication systems using multiple Nyquist zone operations are provided. In one aspect, a telecommunication system can include a first section and a second section. The first section can receive signals from at least one transmitting base station or transmitting terminal device. The received signals have frequencies in multiple frequency bands. The first section can also sample the received signals such that the received signals are aliased. The first section can also combine the aliased signals from the frequency bands into a combined frequency band in a common Nyquist zone. The second section can extract signals from the combined frequency band. The extracted signals are to be transmitted at frequencies in a frequency band from a Nyquist zone that is different than the common Nyquist zone. The second section can also transmit the extracted signals to at least one receiving base station or receiving terminal device. Other embodiments are disclosed.