Adaptive Dual Wavelet Threshold Denoising Function Combined with Allan Variance for Tuning FOG-SINS Filter

2020 ◽  
Vol 25 (4) ◽  
pp. 434-440
Author(s):  
Nassim Bessaad ◽  
Qilian Bao ◽  
Shuodong Sun ◽  
Yuding Du ◽  
Lin Liu ◽  
...  
Keyword(s):  
Allan Variance ◽  
Dual Wavelet

scholarly journals Characterization of error sources in an inertial unit using Allan variance and nonlinear parameter adjustment

2020 ◽  
Vol 1674 ◽  
pp. 012004
Author(s):  
W A Hernandez ◽  
J S Castillo-Corredor ◽  
J A Ramos-Cifuentes ◽  
F Fuentes ◽  
L F Castañeda
Keyword(s):  
Allan Variance ◽  
Nonlinear Parameter ◽  
Error Sources ◽  
Parameter Adjustment ◽  
Inertial Unit

scholarly journals Allan variance in dynamically tuned inertial-unit gyro error analysis

2019 ◽  
pp. 69-77
Author(s):  
M. A. Sharova ◽  
S. S. Diadin
Keyword(s):  
Angular Velocity ◽  
Error Analysis ◽  
Output Signal ◽  
Allan Variance ◽  
Measurement Information ◽  
Noise Component ◽  
Velocity Sensor ◽  
Signal Noise ◽  
Variance Method ◽  
Inertial Unit

The purpose of the study was to consider an algorithm for obtaining the measurement information from a dynamically tuned gyroscope in the mode of an angular velocity sensor and output signal noise component estimate, the algorithm being based on the Allan variance method. The results obtained were evaluated

CONVOLUTION THEOREMS FOR WAVELET TRANSFORM ON TEMPERED DISTRIBUTIONS AND THEIR EXTENSION TO TEMPERED BOEHMIANS

2009 ◽  
Vol 02 (01) ◽  
pp. 117-127 ◽  
Author(s):  
R. Roopkumar
Keyword(s):  
Wavelet Transform ◽  
Tempered Distributions ◽  
Continuous Maps ◽  
Dual Wavelet

We define a new convolution ⊗ : 𝒮'(ℝ × ℝ+) × 𝒟(ℝ) → 𝒮'(ℝ × ℝ+) and derive the convolution theorems for wavelet transform and dual wavelet transform in the context of tempered distributions. By using the new convolution, we construct a Boehmian space containing the tempered distributions on ℝ × ℝ+. Applying the convolution theorems in the context of tempered distributions, we also extend the wavelet transform and dual wavelet transform between the tempered Boehmian space and the new Boehmian space as linear continuous maps with respect to δ-convergence and Δ-convergence, satisfying the convolution theorems.

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