A system configured to generate a high frequency component of an audio signal from a low frequency component of the signal, the system comprising: - an analysis filter bank configured to provide a set of analysis subband signals from the low frequency component of the signal; wherein the set of analysis subband signals comprises at least two analysis subband signals, wherein the analysis filter bank has a frequency resolution of Δf; - a nonlinear processing unit configured to determine a set of synthesis subband signals from the set of analysis subband signals using a transposition order P; wherein the nonlinear processing unit is configured to determine an n th synthesis subband signal of the set of synthesis subband signals from a k th analysis subband signal and a ( k +1) th analysis subband signal of the set of analysis subband signals; wherein the nonlinear processing unit is configured to determine the phase of the n th synthesis subband signal as the sum of the phase of the k th analysis subband signal scaled by a first phase multiplier and the phase of the ( k +1) th analysis subband signal scaled by a second phase multiplier; wherein the first and second phase multipliers are both integers; wherein a magnitude of the n th synthesis subband signal is determined as the product of an exponentiated magnitude of the k th analysis subband signal and an exponentiated magnitude of the ( k +1) th analysis subband signal; and - a synthesis filter bank configured to generate the high frequency component of the signal based on the set of synthesis subband signals, wherein the synthesis filter bank has a frequency resolution of FΔf, with F being a resolution factor, with F ≥ 1, wherein the transposition order P is different from the resolution factor F; wherein - the analysis filter bank has a number L A of analysis subbands, with L A > 1, where k is an analysis subband index with k = 0,..., L A - 1; and - the synthesis filter bank has a number L S of synthesis subbands, with L S > 0, where n is a synthesis subband index with n = 0,..., L S - 1. - an analysis filter bank configured to provide a set of analysis subband signals from the low frequency component of the signal; wherein the set of analysis subband signals comprises at least two analysis subband signals, wherein the analysis filter bank has a frequency resolution of Δf; - a nonlinear processing unit configured to determine a set of synthesis subband signals from the set of analysis subband signals using a transposition order P; wherein the nonlinear processing unit is configured to determine an n th synthesis subband signal of the set of synthesis subband signals from a k th analysis subband signal and a ( k +1) th analysis subband signal of the set of analysis subband signals; wherein the nonlinear processing unit is configured to determine the phase of the n th synthesis subband signal as the sum of the phase of the k th analysis subband signal scaled by a first phase multiplier and the phase of the ( k +1) th analysis subband signal scaled by a second phase multiplier; wherein the first and second phase multipliers are both integers; wherein a magnitude of the n th synthesis subband signal is determined as the product of an exponentiated magnitude of the k th analysis subband signal and an exponentiated magnitude of the ( k +1) th analysis subband signal; and - a synthesis filter bank configured to generate the high frequency component of the signal based on the set of synthesis subband signals, wherein the synthesis filter bank has a frequency resolution of FΔf, with F being a resolution factor, with F ≥ 1, wherein the transposition order P is different from the resolution factor F; wherein - the analysis filter bank has a number L A of analysis subbands, with L A > 1, where k is an analysis subband index with k = 0,..., L A - 1; and - the synthesis filter bank has a number L S of synthesis subbands, with L S > 0, where n is a synthesis subband index with n = 0,..., L S - 1.