disclosed is a transceiver including a sub - sampling based frequency synthesizer with a sampling frequency f smp , configured to generate m different output signals 3 for use as a carrier signal for transmission and / or a signal with a channel frequency for reception . m is an integer greater than 4 , each output signal has a corresponding predefined frequency . the predefined frequencies are within a frequency band with a predefined bandwidth cfr . cfr is greater than f smp . the frequency synthesizer includes a frequency shift unit configured for shifting a version of the output signal over a predefined frequency shift f shift to obtain a frequency shifted signal which is supplied to a sampling unit of the sub - sampling based frequency synthesizer , wherein − f smp / 2 ≦ f shift ≦+ f smp / 2 . the frequency shift unit is configured to use for the generation of each of the n different output signals a corresponding predefined frequency shift f shift .