Table 18 MIMAT algorithm for OFDM channel estimation

● Initialization:

−Find an initial estimate of the time domain channel using linear interpolation: ${ĥ}^{\left(0\right)}={ĥ}_{\mathit{\text{linear}}}$

● Iterations:

1. Set Threshold=β e^αi.

2. Using the threshold from the previous step, find the locations of the taps t by thresholding the time domain channel from the previous iteration (${ĥ}^{(i-1)}$).

3. Solve for the values of the non-zero impulses using MMSE:${ĥ}_t=\mathit{\text{SNR}}·{\tilde{\mathbf{F}}}^H{(\tilde{\mathbf{F}}·\mathit{\text{SNR}}·{\tilde{\mathbf{F}}}^H+\mathbf{I})}^{-1}$

4. Find the new estimate of the channel (${ĥ}^{\left(i\right)}$) by substituting the taps in their detected positions.

5. Stop if the estimated channel is close enough to the previous estimation or when a maximum number of iterations is reached.