Method for limiting a peak or group of peaks of an aggregated baseband carrier signal to a threshold value, said aggregated baseband carrier signal comprising digital carrier signals allocated to passbands which are separated by intermediate free frequency bands, said passbands and intermediate free frequency bands being distributed according to an aggregated carrier passband configuration in the frequency baseband, wherein one or more samples of the aggregated baseband carrier signal form a peak or group of peaks, which samples are complex having absolute values exceeding a threshold value, a peak value comprising a peak absolute value, being the difference between the absolute value of the corresponding sample and the threshold value, and the phase of the corresponding sample, said method comprising the steps of: - delaying an aggregated baseband carrier signal; - Identifying samples constituting a peak or a group of peaks by determining the peak absolute values and a maximum absolute peak value of said peak or group of peaks within a predetermined search length from each identified peak; - determining the phase value and a synchronization time for the sample corresponding to the peak maximum absolute value; said method being characterized by the steps of: - determining an adjusted synchronization time using a sample frequency higher than a Nyquist frequency; - retrieving a stored predetermined filter impulse response from among a plurality of predetermined filter impulse responses, the retrieved predetermined filter impulse response determined according to the aggregated carrier passband configuration and comprising samples constituting a peak or a group of peaks, wherein one peak sample is a maximum peak sample; - selecting based on said adjusted synchronization time, one of several predetermined filter impulse responses having a maximum peak sample that best matches the maximum peak sample of the aggregated baseband carrier signal; - adjusting the samples of the predetermined filter impulse response using the phase value and the peak maximum absolute value of the maximum peak sample; - combining the delayed aggregated baseband carrier signal and the adjusted predetermined filter impulse response by synchronizing their maximum peak samples using the synchronization time and their opposite phase values resulting in an output aggregated baseband signal wherein each sample is limited within the threshold value. - delaying an aggregated baseband carrier signal; - Identifying samples constituting a peak or a group of peaks by determining the peak absolute values and a maximum absolute peak value of said peak or group of peaks within a predetermined search length from each identified peak; - determining the phase value and a synchronization time for the sample corresponding to the peak maximum absolute value; said method being characterized by the steps of: - determining an adjusted synchronization time using a sample frequency higher than a Nyquist frequency; - determining an adjusted synchronization time using a sample frequency higher than a Nyquist frequency; - retrieving a stored predetermined filter impulse response from among a plurality of predetermined filter impulse responses, the retrieved predetermined filter impulse response determined according to the aggregated carrier passband configuration and comprising samples constituting a peak or a group of peaks, wherein one peak sample is a maximum peak sample; - selecting based on said adjusted synchronization time, one of several predetermined filter impulse responses having a maximum peak sample that best matches the maximum peak sample of the aggregated baseband carrier signal; - selecting based on said adjusted synchronization time, one of several predetermined filter impulse responses having a maximum peak sample that best matches the maximum peak sample of the aggregated baseband carrier signal; - adjusting the samples of the predetermined filter impulse response using the phase value and the peak maximum absolute value of the maximum peak sample; - combining the delayed aggregated baseband carrier signal and the adjusted predetermined filter impulse response by synchronizing their maximum peak samples using the synchronization time and their opposite phase values resulting in an output aggregated baseband signal wherein each sample is limited within the threshold value.