A noise generator for generating a noise signal over a frequency spectrum has a first noise source and a first digital filter for a first frequency band, a second noise source and a second digital filter for a second frequency band, and an interpolator and a combiner. The first digital filter has a first sample rate and the second digital filter has a second sample rate, wherein the ratio between the second sample rate and the first sample rate, with regard to a sign, corresponds to a ratio between center frequencies of the second frequency band and the first frequency band, wherein an edge of the second digital filters which determines a lower frequency band limit is steeper than an edge of the first digital filter which determines an upper frequency band limit. The interpolator is configured to adjust an output signal of the first digital filter, with regard to its sample rate, to a sample rate of the second digital filter, wherein the combiner is configured to combine the adjusted output signal from the interpolator and the output signal of the second digital filter.