For a given frequency-domain operator S
(freqdom
) the function freqdom.transpose
computes the transpose of \(S_\theta'\) at
each frequency from the evaluation grid.
freqdom.transpose(x)
Function returns a frequency domain object (freqdom
) of dimensions \(L \times p_2 \times p_1\), where \(L\) is the size of the grid.
The elements of the object correspond to \(S_\theta'\) as defined above.
a frequency-domain filter of type freqdom
, i.e. a set of linear operators \(S_k \in \mathbf{R}^{p_1 \times p_2}\)
on some discreet grid defined of \([-\pi,\pi]\).
Let \(S = \{ S_\theta : \theta \in G \}\), where \(G\) is some finite grid
of frequencies in \([-\pi,\pi]\) and \(S_\theta \in \mathbf{C}^{p \times p}\).
At each frequency \(\theta \in G\) function freqdom.transpose
transposes
Resulting object is defined as $$S' = \{ S_\theta': \theta \in G \}.$$