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Inverse-rFFT of the PSD recovers the (biased) autocorrelation.

Usage

morie_dsp_acf_from_psd(psd)

Arguments

psd

PSD vector (one-sided).

Value

Numeric vector (autocorrelation).

References

Rangayyan & Krishnan (2015), Ch. 6, sec. 6.3.

Examples

freqs <- seq(0, 250, length.out = 128L)
psd <- exp(-abs(freqs - 100) / 20)
acf_est <- morie_dsp_acf_from_psd(psd)
head(acf_est)
#> [1]  0.15942141  0.04604042 -0.10380513 -0.08284596  0.02430381  0.06184920