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However following the initial pass, the SISO MMSE equalizer computes a soft estimate of the IBI that is to be used in the soft IBI and ISI cancellation prior to the equalization.
Assuming perfect channel equalization in the receiver, a soft estimate can be obtained by applying the MMSE equalizer that's given by X ^ n, i = H H n, i H n, i + σ n 2 I − 1 H H n, i × H n, i x n, i + N n, i (42).
In essence, (widetilde {mathbf {x}}_{0}) is a soft estimate of the data vector x 0. The final hard decision (widehat {mathbf {x}}_{0}) is obtained by appropriately rounding up each element of (widetilde {mathbf {x}}_{0}) to the nearest signal point in the constellation.
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With help of the pdf a new soft estimate according to (23) can be calculated utilizing (19).
which contains the soft estimate of the interfering symbols from the previous iteration.
Finally, using the mentioned assumptions, the soft estimate of (13) can be derived as (16).
For derivation of MF ISDIC, we introduce the vector, which is used for calculation of the soft estimate.
For this, based on the computed, the soft mapper (shown in Figure 2) generates the soft estimate,, as its mean, that is, (14).
Instead of globally minimizing the MSE of the source symbol detection at the destination only, we minimize the MSE of the soft estimate at each hop.
It is noted that denotes the soft estimate of the p th data tone at subcarrier of the th OFDM symbol from the u th transmit antenna.
Besides, the BS detects the soft estimate of the data streams from the direct path and relay path using the filter matrix and respectively.
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