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Normalized Cross-cumulants for 1/f Spectrum Estimation in Gaussian and/or non-Gaussian Noise

Chen Wang, Honggang Wu, Lidong Gu, Zhiqiang Song

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Abstract

A normalized four-order cross-cumulants (NFCC) method is proposed to suppress the effect of unavoidable Gaussian and non-Gaussian noise on decreasing the accuracy of transistor 1/f spectrum estimation. Further more, a NFCC-based parameter estimation algorithm of ARMA model for a-stable process in noisy environments is developed. Then, we also propose a cross-spectrum method effective in noisy environments based on sampled normalized four-order cross-cumulants (SNFCC) function. The effectiveness of the proposed NFCC method for 1/f spectrum estimation is demonstrated through simulation results and diodes output noise spectrum estimation results.

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What this paper is about

A normalized four-order cross-cumulants (NFCC) method is proposed to suppress the effect of unavoidable Gaussian and non-Gaussian noise on decreasing the accuracy of transistor 1/f spectrum estimation. Further more, a NFCC-based parameter estimation algorithm of ARMA model for a-stable process in noisy environments is developed. Then, we also propose a cross-spectrum method effective in noisy environments based on sampled normalized four-order cross-cumulants (SNFCC) function. The effectiveness of the proposed NFCC method for 1/f spectrum estimation is demonstrated through simulation results and diodes output noise spectrum estimation results.

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Available abstract

A normalized four-order cross-cumulants (NFCC) method is proposed to suppress the effect of unavoidable Gaussian and non-Gaussian noise on decreasing the accuracy of transistor 1/f spectrum estimation. Further more, a NFCC-based parameter estimation algorithm of ARMA model for a-stable process in noisy environments is developed. Then, we also propose a cross-spectrum method effective in noisy environments based on sampled normalized four-order cross-cumulants (SNFCC) function. The effectiveness of the proposed NFCC method for 1/f spectrum estimation is demonstrated through simulation results and diodes output noise spectrum estimation results.

Key concepts: Cumulant, Gaussian noise, Noise (video), Gaussian, Spectrum (functional analysis), Estimation theory, Algorithm, Gaussian process

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Normalized Cross-cumulants for 1/f Spectrum Estimation in Gaussian and/or non-Gaussian Noise — Research Paper | ScholarLens