Method for compressing a Higher Order Ambisonics representation denoted HOA for a sound field, said method including: - from a current time frame of HOA coefficients ( D ( k)), estimating dominant sound source directions ( A Ω̂ ( k)); - depending on said HOA coefficients ( D ( k)) and on said dominant sound source directions ( A Ω̂ ( k)), decomposing said HOA representation into smoothed dominant directional signals ( X DIR ( k - 1)) in time domain and a residual component, wherein said residual component is transformed into the discrete spatial domain in order to obtain directional signals ( X̃ GRID, DIR (k-1)) at uniform sampling directions representing said residual component, and wherein said directional signals are predicted from said smoothed dominant directional signals ( X DIR ( k - 1)), thereby providing parameters ( ζ ( k - 1)) describing said prediction and predicted directional signals X ̃ ^ GRID, DIR k − 1, and the predicted directional signals are transformed back into the HOA domain to a compute residual HOA component (D A (k-2)) - reducing the current order of said residual HOA component ( D A ( k - 2)) to a lower order ( N RED), resulting in a reduced-order residual HOA component ( D A,RED ( k - 2)); - de-correlating said reduced-order residual HOA component ( D A,RED ( k - 2)) to obtain corresponding residual HOA component time domain signals ( W A,RED ( k - 2)); - perceptually encoding said dominant directional signals ( X DIR ( k - 1)) and said residual HOA component time domain signals ( W A,RED ( k - 2)) so as to provide compressed dominant directional signals X ⌣ DIR k − 1 and compressed residual component signals W ⌣ A, RED k − 2. - from a current time frame of HOA coefficients ( D ( k)), estimating dominant sound source directions ( A Ω̂ ( k)); - depending on said HOA coefficients ( D ( k)) and on said dominant sound source directions ( A Ω̂ ( k)), decomposing said HOA representation into smoothed dominant directional signals ( X DIR ( k - 1)) in time domain and a residual component, wherein said residual component is transformed into the discrete spatial domain in order to obtain directional signals ( X̃ GRID, DIR (k-1)) at uniform sampling directions representing said residual component, and wherein said directional signals are predicted from said smoothed dominant directional signals ( X DIR ( k - 1)), thereby providing parameters ( ζ ( k - 1)) describing said prediction and predicted directional signals X ̃ ^ GRID, DIR k − 1, and the predicted directional signals are transformed back into the HOA domain to a compute residual HOA component (D A (k-2)) - reducing the current order of said residual HOA component ( D A ( k - 2)) to a lower order ( N RED), resulting in a reduced-order residual HOA component ( D A,RED ( k - 2)); - de-correlating said reduced-order residual HOA component ( D A,RED ( k - 2)) to obtain corresponding residual HOA component time domain signals ( W A,RED ( k - 2)); - perceptually encoding said dominant directional signals ( X DIR ( k - 1)) and said residual HOA component time domain signals ( W A,RED ( k - 2)) so as to provide compressed dominant directional signals X ⌣ DIR k − 1 and compressed residual component signals W ⌣ A, RED k − 2.