freqdom.transpose {freqdom}R Documentation

Compute a transpose of a given frequency-domain operator at each frequency

Description

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.

Usage

freqdom.transpose(x)

Arguments

x

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].

Details

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 \}.

Value

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.


[Package freqdom version 2.0.5 Index]