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The two updating steps are iterated alternately until the objective function converges.
Therefore, our main concern is to study the error analysis of the updating steps.
Among the three stages, the prediction and the updating steps were the core of wavelet lifting.
This corresponds to the cases of Figure 5 a,c. Figure 5 Different kinds of message updating steps.
Updating steps α k can be fixed or computed adaptively at each step (steepest descent for example).
For the decoding algorithm, we have the four following configurations of message updating steps (see Figure 4).
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Applying equations (9) and (10) for locus j and j + 1, finalizes the RHS-updating step, just like equation (5) finalizes the residual updating step.
The updating step is expressed as (4).
In the updating step, the posterior estimate of the state is updated based on measurements.
In this figure, crossover operator step and parameter updating step are highlighted in bold.
By this, a decision-directed adaptive updating step should be reasonably forecast.
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