# Polynomial Cancellation Coded DFT-s-OFDM for Low-PAPR Uplink Signaling
## Appendix A Spectral Shaping Function of PCC-DFT-s-OFDM  
For the \(d\)-order PCC-DFT-s-OFDM, its SS function, \(G_{k}^{d}=\sum\limits_{u=0}^{2^{d}-1}\left(-W_{M}^{k}\right)^{u}\), \(0\leq k\leq M-1\), can be extracted by (11) and rewritten as follows:  
\[\begin{array}{ll}G_{k}^{d}&=\sum\limits_{u=0}^{2^{d}-1}\left(-W_{M}^{k} \right)^{u}=\frac{1-\left(-W_{M}^{k}\right)^{2^{d}}}{1+W_{M}^{k}}=\frac{1-W_{ M}^{2^{d}k}}{1+W_{M  
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