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Table 6 Summary of SoTA waveform complexity by PPN implementation framework

From: Pulse shaping design for OFDM systems

Waveform

TF density

Overlapping factor K

Pulse shape

PPN implementation

General pulse-shaped OFDM

\(\frac {N}{M}\)

Arbitrary K

Arbitrary g tx(t)

General PPN framework

CP-OFDM

\(\frac {N}{M}\)

K=1

Rectangular

Downgrades to "add CPP"

W-OFDM

\(\frac {N}{M}\)

2>K>1

Hamming, RC, RRC, etc.

Downgrades to scalar multiplication

TF-Localized OFDM

\(\frac {N}{M}\)

Typically K≥4

Orthogonal Gaussian-based function

General PPN Framework

FBMC/OQAM

2

Typically K≥4

PHYDYAS, IOTA, etc.

With offset signaling \(\frac {TF}{2}\)