An efficient nonlinear least square multisine fitting algorithm

Simon, Gyula; Pintelon, R.; Sujbert, László; Schoukens, Johan

doi:10.1109/tim.2002.803304

Cited by 41 publications

(11 citation statements)

References 6 publications

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“…Complexity and Scalability -The complexity of the offline phase in ViFi is determined by the least square fitting procedure (Equation (4)), and by the generation of virtual RPs (Equations (1)-(3)). Following [48], the single fitting procedure of Strategy I has complexity O(|S|(N r L) 2 ), while the L different fitting procedures of Strategy II have complexity O(|S|(N r ) 2 ) each. As for the generation of virtual RPs, given the total number N v L of RSS values to be predicted, and denoted with N MAX ).…”

Section: Vifi Vs Traditional Fingerprintingmentioning

confidence: 99%

ViFi: Virtual Fingerprinting WiFi-Based Indoor Positioning via Multi-Wall Multi-Floor Propagation Model

Caso

Nardis

Lemić

et al. 2020

IEEE Trans. on Mobile Comput.

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Widespread adoption of indoor positioning systems based on WiFi fingerprinting is at present hindered by the large efforts required for measurements collection during the offline phase. Two approaches were recently proposed to address such issue: crowdsourcing and RSS radiomap prediction, based on either interpolation or propagation channel model fitting from a small set of measurements. RSS prediction promises better positioning accuracy when compared to crowdsourcing, but no systematic analysis of the impact of system parameters on positioning accuracy is available. This paper fills this gap by introducing ViFi, an indoor positioning system that relies on RSS prediction based on Multi-Wall Multi-Floor (MWMF) propagation model to generate a discrete RSS radiomap (virtual fingerprints). Extensive experimental results, obtained in multiple independent testbeds, show that ViFi outperforms virtual fingerprinting systems adopting simpler propagation models in terms of accuracy, and allows a sevenfold reduction in the number of measurements to be collected, while achieving the same accuracy of a traditional fingerprinting system deployed in the same environment. Finally, a set of guidelines for the implementation of ViFi in a generic environment, that saves the effort of collecting additional measurements for system testing and fine tuning, is proposed.

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Section: Vifi Vs Traditional Fingerprintingmentioning

confidence: 99%

ViFi: Virtual Fingerprinting WiFi-Based Indoor Positioning via Multi-Wall Multi-Floor Propagation Model

Caso

Nardis

Lemić

et al. 2020

IEEE Trans. on Mobile Comput.

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“…Denoting by the th row of , we have (12) Let us first consider the term . The th row, , of is given by (13) where Since , the expected value of the Kronecker product of the th row of , namely, , and , after vectorization, is (14) where represents vectorization operation.…”

Section: Appendixmentioning

confidence: 99%

“…In fact, harmonic frequency estimation has important applications in speech signal processing [8]- [10], automotive control systems [11] as well as instrumentation and measurement [12].…”

Section: Introductionmentioning

confidence: 99%

Accurate Frequency Estimation for Real Harmonic Sinusoids

Chan

2004

IEEE Signal Process. Lett.

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Abstract-A linear prediction based method is proposed for real harmonic sinusoidal frequency estimation. The estimator basically involves two steps. An initial fundamental frequency estimate is first obtained by solving a standard least-squares equation with exploitation of the harmonic structure of the sinusoidal signal or by using the MUSIC approach. Based on the initial estimate, an optimally weighted least squares cost function is then constructed from which the final estimate is acquired. Computer simulations show that the performance of the estimator approaches Cramér-Rao lower bound for sufficiently high signal-to-noise ratios and/or data lengths.Index Terms-Frequency estimation, harmonic sinusoidal signals, weighted least squares.

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“…The recursive Discrete Fourier Transform [4], [5], the least error square technique [6], [7], the Kalman filter [8]- [10] are some of the most commonly used techniques, along with the wavelet transform, the PQ theory, and the neural networks. Other solutions, characterized by a lesser computational complexity, are based on Phase-Locked Loop (PLL) systems, which have been widely proposed in the literature [11]- [35] in order to obtain a robust synchronization with the supply fundamental voltage.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Two Three-Phase PLL Systems for More Electric Aircraft Converters

Bifaretti

Zanchetta

Lavopa

2014

IEEE Trans. Power Electron.

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A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription. Abstract-The More Electric Aircraft power system is characterized by variable supply frequency, in general between 360Hz and 900Hz. All equipment on board the aircraft have to operate delivering high performance under this variable frequency condition. In particular, power electronic converters need accurate control algorithms able to track the fundamental phase and frequency in real time, both in normal and unusual conditions. Phase Locked Loop (PLL) based algorithms are commonly used in traditional single and three phase power systems to provide phase and frequency estimations of the supply. Despite the simplicity of those algorithms, large estimation errors can arise when power supply voltage has variable frequency or amplitude, presents unbalances or is polluted with harmonics. To improve the quality of the phase and frequency real-time estimations, a robust PLL algorithm, based on a predictioncorrection filter, is presented in this paper and compared with a Discrete Fourier Transform (DFT) based procedure. The performances of the two algorithms, implemented in a floatingpoint DSP, have been compared through an experimental validation obtained on a laboratory power converter prototype.

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An efficient nonlinear least square multisine fitting algorithm

Cited by 41 publications

References 6 publications

ViFi: Virtual Fingerprinting WiFi-Based Indoor Positioning via Multi-Wall Multi-Floor Propagation Model

ViFi: Virtual Fingerprinting WiFi-Based Indoor Positioning via Multi-Wall Multi-Floor Propagation Model

Accurate Frequency Estimation for Real Harmonic Sinusoids

Comparison of Two Three-Phase PLL Systems for More Electric Aircraft Converters

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