mean chi-2 =      -3.845215e-05
variance chi-2 =  19.49047
std.dev. chi-2 =  4.414802

Parvseval's theorem - size signal vector invariant to change basis
var(yout184) = sum(yout184^2)/16384 = sum(Mod(a)^2)) = C(0) =  19.48929

first 20 values of C(t); note C(0) = variance
 [1] 19.489285 18.009616 15.247437 13.633616 13.706762 14.740587 16.006862
 [8] 16.270025 14.439963 11.713520 10.733692 12.100012 13.886611 14.502295
[15] 13.789323 11.949852  9.803482  9.191256 10.793810 12.592394


summary of fit to C(t)

Formula: Ct ~ C * exp(-time/tau) * (cos(sqrt(XX/C - 1/tau^2) * time) + 
    1/(tau * sqrt(XX/C - 1/tau^2)) * sin(sqrt(XX/C - 1/tau^2) * 
        time))

Parameters:
     Estimate Std. Error t value Pr(>|t|)    
tau  0.185765   0.006422   28.92   <2e-16 ***
C   12.316130   0.184796   66.65   <2e-16 ***
---
Signif. codes:  0 `***' 0.001 `**' 0.01 `*' 0.05 `.' 0.1 ` ' 1 

Residual standard error: 1.664 on 498 degrees of freedom

Correlation of Parameter Estimates:
     tau
C 0.2501


torsional spring constant, from fit value C(0): K  =  52.77597  Kcal/mol

freq. of torsional oscillation, from K: w0 =  16.93435 ps^-1

freq. of Brownian model oscillation, from C & tau: w1 =  16.05596 ps^-1