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Exact(23)

By replacing θ in (6) for h and after some manipulations, the FIM for channel estimation in the iteration phase is given by FI M iter ( n p, x p, I p ) = N 0 - 1 I n r ⊗ ( N s ′ - n p N σ x 2 I n t + ∑ τ ∈ I p ∑ τ ′ ∈ I p ( x p ) H x p ⊗ ∑ i = 1 s ′ ( Φ p [ i ] ) H Φ p [ i ] ) + s ′ σ h - 2 I n t n r. (12).

FastWISE continues with the iteration phase.

Now consider the training design for the iteration phase.

(b) After iteration phase (COV cur =99.02%, p blck ≈0).

For the iteration phase, the expression in (12) means that the CRB in the iteration phase always increases by increasing np.

One step of the iteration phase can certainly be done in time O(n).

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Similar(37)

Moreover, by multiplexing the training sequence before precoder, training symbols can be exploited in both the initialization and iteration phases of the iterative channel estimation process.

Therefore, optimal training sequence should be designed carefully that considers both initialization and iteration phases.

In order to design the optimal training symbols and their positions, the CRB on the channel estimations at the initialization and at the iteration phases are minimized.

The conventional method requires joint iteration between phase and position error estimations.

This represents another iteration through phase 2 development.

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