Encoder, decoder, encoding method and decoding method for frequency domain long-term prediction of tonal signals for audio coding

An encoder (100) for encoding a current frame of an audio signal depending on one or more previous frames of the audio signal according to an embodiment is provided. The one or more previous frames precede the current frame, wherein each of the current frame and the one or more previous frames comprises one or more harmonic components of the audio signal, wherein each of the current frame and the one or more previous frames comprises a plurality of spectral coefficients in a frequency domain or in a transform domain. To generate an encoding of the current frame, the encoder (100) is to determine an estimation of two harmonic parameters for each of the one or more harmonic components of a most previous frame of the one or more previous frames. Moreover, the encoder (100) is to determine the estimation of the two harmonic parameters for each of the one or more harmonic components of the most previous frame using a first group of three or more of the plurality of spectral coefficients of each of the one or more previous frames of the audio signal.