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Table 1 Computational complexity of conventional data decoding with FDC SI estimation and ECM-based method

From: A joint OFDM PAPR reduction and data decoding scheme with no SI estimation

Conventional data decoding (with FDC SI estimation) ECM method
The FDC-based SI estimation method requires 2 U N p U CMs and U(N p −2) CAs to compute expressions in (11) and (12) ECM requires N p CMs to compute \(\boldsymbol {\bar {H}}_{c}[w_{e}]\) and \(\boldsymbol {\bar {H}}_{c}[w_{o}]\) in (23)
SLM de-mapping requires N v CMs to compute Y c [w] in (13) The ECM demodulation procedure requires N d CMs to compute Z c [w d ] in (25) and N p /2 CMs to compute R c [w o ] in (27)
Standard channel estimation and equalisation requires N v CMs to compute \(\boldsymbol {\hat {H}}_{c}[w_{e}]\), \(\boldsymbol {\hat {H}}_{c}[w_{o}]\) and \(\boldsymbol {\hat {Y}}_{c}[w_{d}]\) The normalised channel equalisation procedure requires N d CMs to compute \(\boldsymbol {\hat {Z}}_{c}[w_{d}]\) in (30)