A hearing aid configured to be located at the ear or fully or partially in the ear canal of a user, or for being fully or partially implanted in the head of a user, the hearing aid comprising • An input unit configured to provide an electric input signal with a first dynamic range of levels representative of a time and frequency variant sound signal, the electric input signal comprising a target signal and/or a noise signal; • An output unit configured to provide output stimuli perceivable by a user as sound representative of said electric input signal or a processed version thereof; and • A dynamic compressive amplification system (SNRCA) comprising ∘ A level detector unit configured to provide a level estimate of said electric input signal; ∘ A level post processing unit configured to provide a modified level estimate of said electric input signal in dependence of said level estimate and a first control signal; ∘ A level compression unit (L2G) configured to provide a compressive amplification gain in dependence of said modified level estimate and hearing data representative of a user's hearing ability; ∘ A gain post processing unit configured to provide a modified compressive amplification gain (MCAG) in dependence of said compressive amplification gain and a second control signal; and ∘ A control unit (CTRU) configured to analyse said electric input signal, to provide a classification of said electric input signal and to provide said first and second control signals (CTR1, CTR2) based on said classification; and • A forward gain unit configured to apply said modified compressive amplification gain (MCAG) to said electric input signal or a processed version thereof; CHARACTERIZED IN THAT said control unit (CTRU) is configured to determine first and second signal to noise ratios (LSNR, GSNR) of the electric input signal or a processed version thereof, wherein said first and second signal-to-noise ratios are termed local SNR (LSNR) and global SNR (GSNR), respectively, and wherein the local SNR denotes a relatively short-time ( τ L) and sub-band specific (Δ f L) signal-to-noise ratio and wherein the global SNR denotes a relatively long-time ( τ G) and broad-band (Δ f G) signal to noise ratio, and wherein the time constant τ G and frequency range Δ f G involved in determining the global SNR are larger than corresponding time constant τ L and frequency range Δ f L involved in determining the local SNR, and to provide said classification in dependence of said first and second signal-to-noise ratios. • An input unit configured to provide an electric input signal with a first dynamic range of levels representative of a time and frequency variant sound signal, the electric input signal comprising a target signal and/or a noise signal; • An output unit configured to provide output stimuli perceivable by a user as sound representative of said electric input signal or a processed version thereof; and • A dynamic compressive amplification system (SNRCA) comprising ∘ A level detector unit configured to provide a level estimate of said electric input signal; ∘ A level post processing unit configured to provide a modified level estimate of said electric input signal in dependence of said level estimate and a first control signal; ∘ A level compression unit (L2G) configured to provide a compressive amplification gain in dependence of said modified level estimate and hearing data representative of a user's hearing ability; ∘ A gain post processing unit configured to provide a modified compressive amplification gain (MCAG) in dependence of said compressive amplification gain and a second control signal; and ∘ A control unit (CTRU) configured to analyse said electric input signal, to provide a classification of said electric input signal and to provide said first and second control signals (CTR1, CTR2) based on said classification; and ∘ A level detector unit configured to provide a level estimate of said electric input signal; ∘ A level post processing unit configured to provide a modified level estimate of said electric input signal in dependence of said level estimate and a first control signal; ∘ A level compression unit (L2G) configured to provide a compressive amplification gain in dependence of said modified level estimate and hearing data representative of a user's hearing ability; ∘ A gain post processing unit configured to provide a modified compressive amplification gain (MCAG) in dependence of said compressive amplification gain and a second control signal; and ∘ A control unit (CTRU) configured to analyse said electric input signal, to provide a classification of said electric input signal and to provide said first and second control signals (CTR1, CTR2) based on said classification; and • A forward gain unit configured to apply said modified compressive amplification gain (MCAG) to said electric input signal or a processed version thereof;