Validation of the parameter
freq is perfomed in six steps:
Throw an error if parameter is not a vector or not numeric.
Transform each element w of the vector to [0,2pi), by replacing it with w mod 2pi.
Check whether all elements w of the vector are Fourier frequency 2 pi j / T, j \in Z. If this is not the case issue a warning and round each frequency to the next Fourier frequency of the mentioned type; the smaller one, if there are two.
Transform each element w with pi < w < 2pi of the vector to [0,pi], by replacing it with 2pi - w.
Check for doubles and remove all but the first appearance.
Sort in ascending order.
Any subset of the six steps can be chosen, but 1 should almost always be among the steps to be performed.
frequenciesValidator(freq, N, steps = 1:6)
the vector of frequencies to be validated.
the base of the Fourier frequencies against which the values in
a vector containing a subset of 1,2,3,4,5,6, indicating which of the steps are to be performed.
Returns a vector of Fourier frequencies that is yield by the transformations described above.
1 2 3 4 5 6 7 8 9 10 11 12 13
freq <- 2*pi*c(3,2,5,8,9)/10 res <- frequenciesValidator(freq, N=10, steps=1:3) res * 10 / (2*pi) # Returns:  3 2 5 8 9 res <- frequenciesValidator(freq, N=10, steps=1:4) res * 10 / (2*pi) # Returns:  3 2 5 2 1 res <- frequenciesValidator(freq, N=10, steps=1:5) res * 10 / (2*pi) # Returns:  3 2 5 1 res <- frequenciesValidator(freq, N=10, steps=1:6) res * 10 / (2*pi) # Returns:  1 2 3 5
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