Skip to main content

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
  1. The rejection criteria are given at 5% confidence level