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The rule constructs the reference template as (27).
Each vector quantizer can be considered as one's reference template.
An interesting observation on the reference template of HD-MSTR in (27) is that the variance of the reference template is constant given the detected symbols (28).
where is the reference template for the th symbol by removing the th waveform from (25).
Similar to the TR detection scheme, the proposed method first generates a reference template by using the initial symbol only, and then estimates the information symbols by correlating the reference template with the symbol waveforms.
A total of four rotated, scaled, or sheared versions of the reference template is used in the simulation.
The optimum reference template given a symbol candidate can be obtained using the variational technique (see [17]) (11).
In our case, the reference template is a reference shape pre-selected during the initial diverse selection.
Hence, the corresponding symbol deserves higher weight in the representation of the reference template for next iteration.
Furthermore, with the help of the information from multiple transmitted symbols, our method manages to suppress the reference template noise.
Evidently, the reference template must encompass multipath channel effect which is unknown at synchronization, thus needing a cumbersome task of channel estimation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com