Efficient generation of 1/fα noise using a multi-rate filter bank

We propose a low-complexity 1/f^α noise generation scheme based on a multi-rate filter bank. In this scheme, each branch in the filter bank processes signals in a different frequency band and allows arbitrary selection of α in each branch. This scheme greatly reduces computation when compared to the traditional noise generation approach of using a single noise shaping filter. Furthermore, it allows selecting different combinations of noise frequency response in different frequency bands, thus allowing calibration of noise generated in simulation to the one measured in the laboratory from test chips. A comparison of various noise generation schemes is also presented.