A harmonic rejection mixer for carrying out a frequency translation of a mixer input signal having a mixer input frequency, the mixer including an up-conversion mixer for generating an intermediate signal by multiplying the mixer input signal with a first local oscillation signal having a first local oscillation frequency, and a down-conversion mixer for generating a mixer output signal by multiplying the intermediate signal with a second local oscillation signal having a second local oscillation frequency. The first local oscillation frequency and the second local oscillation frequency are greater than the mixer input frequency. The first local oscillation signal is an l-time oversampled sine wave and the second local oscillation signal is an m-time oversampled sine wave.