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The one is a dual filter for a dual relative error signal.
The dual filter is evaluated in a simulation study and seen to perform favorably when compared to a standard SMC approach.
The dual filter essentially has a linear low-pass filter structure and enables us to recast the system dynamics into a linear parameter-affine system dynamics in dual quaternions combined with dual control inputs.
suppose the vanishing moments of the primal and dual filter banks are,,, and, respectively.
As a result, the dual filter bank is not symmetric and of perfect reconstruction (PR).
The filter bank in Figure 2 is named as the dual filter bank of that in Figure 1 [7].
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After developing the overlap-add point of view in Chapter 8, we developed the alternative (dual) filter-bank point of view in Chapter 9.
In addition, Al-SiNx has been mixed with TiNx by a dual filtered arc method to produce nanocomposite TiAlSiNx films.
Levental is speaking on a telephone from St Petersburg, trying to explain his work through the dual filters of speaking in a second language and a two-second delay.
In these adaptive estimators, online estimation of the model parameters were done based on Least Square, joint filtering and dual filtering methods.
Recursive updates are obtained from a restricted variational Bayesian perspective, using a dual filtering formulation where parameters are allowed to evolve in time.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com