A system for decoding an audio signal, the system comprising: a core decoder for decoding a low frequency component of the audio signal; an analysis filter bank for providing a plurality of analysis subband signals of the low frequency component of the audio signal; a subband selection reception unit for receiving information associated with a fundamental frequency Ω of the audio signal, and for selecting, in response to the information, a first and a second analysis subband signal from the plurality of analysis subband signals, from which a synthesis subband signal is generated; a non-linear processing unit to generate the synthesis subband signal with a synthesis frequency, a magnitude and a phase by: determining the magnitude of the synthesis subband signal from a geometric mean value of the magnitudes of the first and the second analysis subband signals modified by a gain parameter, and determining the phase of the synthesis subband signal from a weighted sum of the phases of the first and the second analysis subband signals, wherein a first weight applied to the phase of the first analysis subband signal corresponds to a first transposition factor T-r, and wherein a second weight applied to the phase of the second analysis subband signal corresponds to a second transposition factor r, wherein T and r are positive integers, T>1, and 1≤r<T; and a synthesis filter bank for generating a high frequency component of the audio signal from the synthesis subband signal. a core decoder for decoding a low frequency component of the audio signal; an analysis filter bank for providing a plurality of analysis subband signals of the low frequency component of the audio signal; a subband selection reception unit for receiving information associated with a fundamental frequency Ω of the audio signal, and for selecting, in response to the information, a first and a second analysis subband signal from the plurality of analysis subband signals, from which a synthesis subband signal is generated; a non-linear processing unit to generate the synthesis subband signal with a synthesis frequency, a magnitude and a phase by: determining the magnitude of the synthesis subband signal from a geometric mean value of the magnitudes of the first and the second analysis subband signals modified by a gain parameter, and determining the phase of the synthesis subband signal from a weighted sum of the phases of the first and the second analysis subband signals, wherein a first weight applied to the phase of the first analysis subband signal corresponds to a first transposition factor T-r, and wherein a second weight applied to the phase of the second analysis subband signal corresponds to a second transposition factor r, wherein T and r are positive integers, T>1, and 1≤r<T; and a synthesis filter bank for generating a high frequency component of the audio signal from the synthesis subband signal. determining the magnitude of the synthesis subband signal from a geometric mean value of the magnitudes of the first and the second analysis subband signals modified by a gain parameter, and determining the phase of the synthesis subband signal from a weighted sum of the phases of the first and the second analysis subband signals, wherein a first weight applied to the phase of the first analysis subband signal corresponds to a first transposition factor T-r, and wherein a second weight applied to the phase of the second analysis subband signal corresponds to a second transposition factor r, wherein T and r are positive integers, T>1, and 1≤r<T; and a synthesis filter bank for generating a high frequency component of the audio signal from the synthesis subband signal. <EOS>