Widely linear estimation technique based on circularity for I/Q imbalance compensation in low-IF receivers

Abstract. The results of application of the linear estimation technique to multiwavelength Raman lidar measurements performed during the summer of 2011 in Greenbelt, MD, USA are presented. We demonstrate that multiwavelength lidars are capable not only of providing vertical profiles of particle properties but also of revealing the spatio-temporal evolution of aerosol features. The night-time 3β + 1α lidar measurements on 21 and 22 July were inverted to spatio-temporal distributions of particle microphysical parameters, such as volume, number density, effective radius and the complex refractive index. The particle volume and number density show strong variation during the night while the effective radius remains approximately constant. The real part of the refractive index demonstrates a slight decreasing tendency in a region of enhanced extinction coefficient. The linear estimation retrievals are stable and provide 2 min resolution time series of particle parameters at different heights. AERONET observations are compared with multiwavelength lidar retrievals showing good agreement.

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Widely linear estimation for multisensor quaternion systems with mixed uncertainties in the observations

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2018.08.031 ◽

2019 ◽

Vol 356 (5) ◽

pp. 3115-3138 ◽

Cited By ~ 1

Author(s):

Jesús Navarro-Moreno ◽

Rosa María Fernández-Alcalá ◽

José Domingo Jiménez-López ◽

Juan Carlos Ruiz-Molina

Keyword(s):

Linear Estimation ◽

Widely Linear ◽

Mixed Uncertainties

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Widely linear estimation of quaternion signals with intermittent observations

Signal Processing ◽

10.1016/j.sigpro.2016.09.016 ◽

2017 ◽

Vol 136 ◽

pp. 92-101 ◽

Cited By ~ 6

Author(s):

José Domingo Jiménez-López ◽

Rosa María Fernández-Alcalá ◽

Jesús Navarro-Moreno ◽

Juan Carlos Ruiz-Molina

Keyword(s):

Linear Estimation ◽

Quaternion Signals ◽

Widely Linear

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Widely Linear Estimation with Geometric Algebra

Efficiency and Scalability Methods for Computational Intellect ◽

10.4018/978-1-4666-3942-3.ch014 ◽

2013 ◽

pp. 293-308

Author(s):

Tohru Nitta

Keyword(s):

Geometric Algebra ◽

High Dimensional ◽

Complex Conjugate ◽

Complex Numbers ◽

Linear Estimation ◽

Higher Dimensional ◽

Dimensional Parameters ◽

Geometric Algebras ◽

Widely Linear ◽

Complex Valued

This chapter reviews the widely linear estimation for complex numbers, quaternions, and geometric algebras (or Clifford algebras) and their application examples. It was proved effective mathematically to add , the complex conjugate number of , as an explanatory variable in estimation of complex-valued data in 1995. Thereafter, the technique has been extended to higher-dimensional algebras. The widely linear estimation improves the accuracy and the efficiency of estimation, then expands the scalability of the estimation framework, and is applicable and useful for many fields including neural computing with high-dimensional parameters.

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