Table 2 χ 2 and Kolmogorov–Smirnov (KS) statistical tests results for the null hypothesis that the real (\(\mathcal {R}\)) and imaginary part (\(\mathcal {I}\)) of the interference come from a normal distribution
From: FTN multicarrier transmission based on tight Gabor frames
Pulse shape | ρ | KS rejected | KS p value | χ 2 rejected? | χ 2 p value | ||||
|---|---|---|---|---|---|---|---|---|---|
\(\mathcal {R}\) | \(\mathcal {I}\) | \(\mathcal {R}\) | \(\mathcal {I}\) | \(\mathcal {R}\) | \(\mathcal {I}\) | \(\mathcal {R}\) | \(\mathcal {I}\) | ||
TFL | 16/15 | Yes | Yes | 2.1 × 10−6 | 2.1 × 10−6 | Yes | Yes | <10−6 | <10−6 |
8/5 | Yes | Yes | <10−6 | <10−6 | Yes | Yes | <10−6 | <10−6 | |
OBE | 16/15 | Yes | Yes | 3.4 × 10−5 | 3.4 × 10−5 | Yes | Yes | <10−6 | <10−6 |
8/5 | Yes | Yes | <10−6 | <10−6 | Yes | Yes | <10−6 | <10−6 | |
SRRC | 16/15 | Yes | Yes | <10−6 | <10−6 | Yes | Yes | <10−6 | <10−6 |
8/5 | Yes | Yes | <10−6 | <10−6 | Yes | Yes | <10−6 | <10−6 | |
\(\text {RECT}_{T_{0}}\) | 16/15 | Yes | Yes | <10−6 | <10−6 | Yes | Yes | <10−6 | <10−6 |
8/5 | Yes | Yes | <10−6 | <10−6 | Yes | Yes | <10−6 | <10−6 | |