Method of Orthogonal Expansions in the Estimation Problem With a Polymultiplicate Measurement Model

K.A. Tsiporkova; G.S. Lukyanova

doi:10.21667/978-5-7722-0427-6-54-58

June 15, 2025

Method of Orthogonal Expansions in the Estimation Problem With a Polymultiplicate Measurement Model

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Key Points

Optimal solutions for estimating multidimensional signals were identified through advanced measurement models.
Linear combinations of signal components were shown to effectively utilize random functions for estimating useful signals.
Practical examples demonstrate the value of the developed methodology in real-world applications.
Calculated ratios further validate the effectiveness of the orthogonal expansion approach in estimation problems.

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Abstract

Сonsider the problem of estimating a multidimensional useful signal by measuring a linear combination of its components, when its coefficients are random functions. The optimal solution has been found. The calculated ratios were obtained. Examples of practical value are considered.

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Tsiporkova et al. (2025) studied this question.

synapsesocial.com/papers/68c187339b7b07f3a06119ee https://doi.org/10.21667/978-5-7722-0427-6-54-58

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Method of Orthogonal Expansions in the Estimation Problem With a Polymultiplicate Measurement Model

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Abstract

Discussion

Cite This Study

Method of Orthogonal Expansions in the Estimation Problem With a Polymultiplicate Measurement Model

Key Points

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Abstract

Discussion

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