Efficient modeling of 1/f/sup /spl alpha// noise using multirate process

In order to verify the system performance of mixed-signal systems on chip (SoCs), computer-aided design (CAD) tools are required to generate 1/falpha noise that degrades the performance of most analog circuits. Current techniques for generating discrete sequences of 1/falpha noise require a large amount of computations that place an excessive burden on the computation engine and random number generators. In this paper, the authors propose a low-complexity 1/falpha noise generation scheme, which is based on a multirate filter bank. In this scheme, each branch in the filter bank processes signals in a different frequency band while allowing for arbitrary selection of alpha in each bank. The proposed approach greatly reduces computations when compared to traditional noise generation processes 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

[1]  Poras T. Balsara,et al.  Event-driven simulation and modeling of an RF oscillator , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[2]  Nathaniel E. Helwig,et al.  An Introduction to Linear Algebra , 2006 .

[3]  B. Mandelbrot,et al.  Fractional Brownian Motions, Fractional Noises and Applications , 1968 .

[4]  N. Kasdin.  Discrete simulation of colored noise and stochastic processes and 1/fα power law noise generation , 1995, Proc. IEEE.

[5]  P. P. Vaidyanathan,et al.  Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial , 1990, Proc. IEEE.

[6]  H. De Man,et al.  Substrate noise generation in complex digital systems: efficient modeling and simulation methodology and experimental verification , 2001, 2001 IEEE International Solid-State Circuits Conference. Digest of Technical Papers. ISSCC (Cat. No.01CH37177).

[7]  N. Jeremy Usdin,et al.  Discrete Simulation of Colored Noise and Stochastic Processes and llf" Power Law Noise Generation , 1995 .

[8]  Kaushik Roy,et al.  Efficient generation of 1/f/sup /spl alpha// noise using a multi-rate filter bank , 2003, Proceedings of the IEEE 2003 Custom Integrated Circuits Conference, 2003..

[9]  R. Saletti,et al.  A 1/f/sup gamma / power spectrum noise sequence generator , 1988 .

[10]  Yong Ching Lim,et al.  Frequency-response masking approach for the synthesis of sharp linear phase digital filters , 1986 .

[11]  Didier Belot,et al.  A Bluetooth radio in 0.18 μm CMOS , 2002 .

[12]  O. Nelles,et al.  An Introduction to Optimization , 1996, IEEE Antennas and Propagation Magazine.

[13]  G. Wornell.  Wavelet-based representations for the 1/f family of fractal processes , 1993, Proc. IEEE.

[14]  I. Galton,et al.  A direct-conversion single-chip radio-modem for Bluetooth , 2002, 2002 IEEE International Solid-State Circuits Conference. Digest of Technical Papers (Cat. No.02CH37315).