getSdNaive-SmoothedPG
.C++ implementation to increase performance.
Returns an array with complex numbers
\(\sigma(\tau_1, \tau_2, \omega_j\) as defined in Kley et. al (2016), p. 26.
a 3-dimensional array of complex numbers; dimensions are
[N, K1, K2]
, where N
frequencies are
\(\omega_j := 2\pi j/N\) for \(j=0,\ldots,N\).
a vector of length W
of length N
used for smoothing.
Dette, H., Hallin, M., Kley, T. & Volgushev, S. (2015). Of Copulas, Quantiles, Ranks and Spectra: an \(L_1\)-approach to spectral analysis. Bernoulli, 21(2), 781--831. [cf. http://arxiv.org/abs/1111.7205]