Work

Crest factor minimization of multisine signals based on the Chebyshev norm approximation method: With application to wafer stage FRF identification

Year: 2025

Type: article

Abstract: In frequency response function identification, multisine signals are widely used as excitation signals. To minimize the influence of noise, it is essential to maximize the signal power while adhering to the amplitude constraints imposed by the signal generation and acquisition hardware. The power of multisine signals is determined by the amplitude of each sine signal, while the amplitude of multisine signals depends on the phase of each sine signal. A careful selection of each sine signal phase enables the minimization of the Crest Factor (CF), which corresponds to reducing the signal's amplitude for a given power level. This paper presents a Levenberg-Marquardt algorithm designed to improve CF minimization for multisine excitation signals with a predetermined power spectrum. The algorithm utilizes Lp-based norms (a type of p-norm) of multisine signals as the optimization objective with increasing values of p. The method proposed is compared with existing approaches for reducing the CF of multisine signals. Statistical evaluation demonstrates that the proposed CF reduction technology achieves the higher performance in terms of efficiency and effectiveness. Furthermore, the quality of the FRF measurements for the excitation signal generated by the proposed method is significantly improved, as demonstrated by FRF experiments on the wafer stage.

Source: Results in Engineering

DOI: 10.1016/j.rineng.2025.106579

Authors: Chen Zhang, Fazhi Song, Yang Liu

Institutions: Harbin Institute of Technology, Ministry of Industry and Information Technology

Language: English

Topic: Control Systems and Identification

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,940