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This function projects a quaternion time series into the space of angular velocity magnitudes.

Usage

qts2avmts(x, spar = 0)

Arguments

x

An object of class qts.

spar

smoothing parameter, typically (but not necessarily) in \((0,1]\). When spar is specified, the coefficient \(\lambda\) of the integral of the squared second derivative in the fit (penalized log likelihood) criterion is a monotone function of spar, see the details below. Alternatively lambda may be specified instead of the scale free spar=\(s\).

Value

A time series stored as a tibble::tibble with columns time and magnitude containing the angular velocity magnitude at each time point.

Examples

qts2avmts(vespa64$igp[[1]])
#> # A tibble: 101 × 2
#>     time magnitude
#>    <int>     <dbl>
#>  1     0   0.0117 
#>  2     1   0.0116 
#>  3     2   0.0130 
#>  4     3   0.0125 
#>  5     4   0.0111 
#>  6     5   0.00992
#>  7     6   0.00892
#>  8     7   0.00850
#>  9     8   0.00889
#> 10     9   0.00953
#> # ℹ 91 more rows