### Abstract

Exponential signal is a suitable stimulus for dynamic ADC testing because of the simplicity of the generating RC circuit. A potential distortion source of the ideal exponential shape is the dielectric absorption of the capacitor, whose effect can be represented by additional superimposed exponential components with longer time constant and smaller peak value. Measurement of the distortion of the exponential signal by using a reference waveform recorder with known nonlinearity is the initial step in the calibration of an ADC testing stand with exponential stimulus, along with the assessment of its uncertainty. Lack of the orthogonality of stimulus signal components makes classical analysis methods difficult to apply. This paper presents a method for measurement of multiexponential signal components as an example of the more general task of signal decomposition where signal components are non-orthogonal. The proper optimization procedure based on the ML method will be presented, which usually reaches the global minimum of the cost function. Effectiveness will be shown by simulation, and by application to measurement of a multiexponential signal acquired by a reference waveform recorder with known error parameters.

Original language | English |
---|---|

Pages (from-to) | 503-510 |

Number of pages | 8 |

Journal | Measurement: Journal of the International Measurement Confederation |

Volume | 58 |

DOIs | |

Publication status | Published - Dec 1 2014 |

### Fingerprint

### Keywords

- Dynamic ADC testing
- Exponential testing stimulus signal
- Maximum likelihood method
- Signal decomposition

### ASJC Scopus subject areas

- Condensed Matter Physics
- Applied Mathematics

### Cite this

*Measurement: Journal of the International Measurement Confederation*,

*58*, 503-510. https://doi.org/10.1016/j.measurement.2014.09.024

**Measurement of distorted exponential signal components using maximum likelihood estimation.** / Michaeli, Linus; Šaliga, Ján; Liptak, Jozef; Godla, Marek; Kollár, I.

Research output: Contribution to journal › Article

*Measurement: Journal of the International Measurement Confederation*, vol. 58, pp. 503-510. https://doi.org/10.1016/j.measurement.2014.09.024

}

TY - JOUR

T1 - Measurement of distorted exponential signal components using maximum likelihood estimation

AU - Michaeli, Linus

AU - Šaliga, Ján

AU - Liptak, Jozef

AU - Godla, Marek

AU - Kollár, I.

PY - 2014/12/1

Y1 - 2014/12/1

N2 - Exponential signal is a suitable stimulus for dynamic ADC testing because of the simplicity of the generating RC circuit. A potential distortion source of the ideal exponential shape is the dielectric absorption of the capacitor, whose effect can be represented by additional superimposed exponential components with longer time constant and smaller peak value. Measurement of the distortion of the exponential signal by using a reference waveform recorder with known nonlinearity is the initial step in the calibration of an ADC testing stand with exponential stimulus, along with the assessment of its uncertainty. Lack of the orthogonality of stimulus signal components makes classical analysis methods difficult to apply. This paper presents a method for measurement of multiexponential signal components as an example of the more general task of signal decomposition where signal components are non-orthogonal. The proper optimization procedure based on the ML method will be presented, which usually reaches the global minimum of the cost function. Effectiveness will be shown by simulation, and by application to measurement of a multiexponential signal acquired by a reference waveform recorder with known error parameters.

AB - Exponential signal is a suitable stimulus for dynamic ADC testing because of the simplicity of the generating RC circuit. A potential distortion source of the ideal exponential shape is the dielectric absorption of the capacitor, whose effect can be represented by additional superimposed exponential components with longer time constant and smaller peak value. Measurement of the distortion of the exponential signal by using a reference waveform recorder with known nonlinearity is the initial step in the calibration of an ADC testing stand with exponential stimulus, along with the assessment of its uncertainty. Lack of the orthogonality of stimulus signal components makes classical analysis methods difficult to apply. This paper presents a method for measurement of multiexponential signal components as an example of the more general task of signal decomposition where signal components are non-orthogonal. The proper optimization procedure based on the ML method will be presented, which usually reaches the global minimum of the cost function. Effectiveness will be shown by simulation, and by application to measurement of a multiexponential signal acquired by a reference waveform recorder with known error parameters.

KW - Dynamic ADC testing

KW - Exponential testing stimulus signal

KW - Maximum likelihood method

KW - Signal decomposition

UR - http://www.scopus.com/inward/record.url?scp=84907851591&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907851591&partnerID=8YFLogxK

U2 - 10.1016/j.measurement.2014.09.024

DO - 10.1016/j.measurement.2014.09.024

M3 - Article

AN - SCOPUS:84907851591

VL - 58

SP - 503

EP - 510

JO - Measurement: Journal of the International Measurement Confederation

JF - Measurement: Journal of the International Measurement Confederation

SN - 1536-6367

ER -