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It has a negligible complexity compared to the operations like addition and multiplication.
4 Only multiplications are counted in the complexity comparison, since additions and subtractions have a negligible complexity in comparison.
In writing this figure we have ignored the operations required to compute,, and since these matrices are easily obtained from with negligible complexity. .
The presented results show that with the negligible complexity added to the system, and while implying no loss in the spectral efficiency nor any increase in the transmit power, D2SD permits to obtain a considerable improvement in the receiver performance.
In this paper, we have investigated the multi-segmental OFDM signal equalizer with PLM, which can improve the BER performance with negligible complexity increases compared to the partial FFT method.
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It is easy to see that only the LGM computations has non-negligible complexity and vary with the problem size.
Alternatively, even the well-know good sub-optimal SCVX algorithm exhibits non-negligible complexity (as later detailed), in particular with multiple channels.
The performance of the proposed equalizer is also evaluated for sparse channels and it is shown that its performance in sparse channels is superior to its performance in equivalent dense, or nonsparse, channels, (equivalent dense channels will be explained in Section 7) with a negligible computational complexity increase.
Moreover the inherent parallelism of these new hardware solutions and their large computing capabilities makes the computing time negligible despite the complexity of these algorithms.
Simultaneously, these methods should aim at achieving reasonable computational complexity, negligible performance degradation of the SU transmission, and low energy costs.
While the decoding overhead is negligible, the high complexity of the encoding process still slows down the transcoding speed even when it is on a modern multicore processor.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com