6.7.10 PowerCalcForMatrix

6.7.10.1 Outline of the node

This node converts Matrix<complex<float> > type multichannel complex spectra into the real power/amplitude spectra.

6.7.10.2 Necessary files

No files are required.

6.7.10.3 Usage

When to use

This node is used to convert complex spectra input as Matrix<complex<float> > type into real power/amplitude spectra. When inputs are of Map<int, ObjectRef> type, use the PowerCalcForMap node.

Typical connection

Figure 6.100 shows an example of the usage of a PowerCalcForMatrix node. A Matrix<complex<float> > type complex spectrum obtained from the MultiFFT node is converted into a Matrix<float> type power spectrum and input to the BGNEstimator node.

6.7.10.4 Input-output and properties of the node

Input

INPUT

: Matrix<complex<float> > type. A matrix with each element as a complex number.

Output

OUTPUT

: Matrix<float> type. A real matrix consisting of power/absolute values of each element of the input.

Parameter

POWER_TYPE

: string type. Selection of power (POW) or amplitude (MAG) spectra for the output.

6.7.10.5 Details of the node

The real matrix $N_{i,j}$ of the output of the input complex matrix $M_{i,j}$ ($i, j$ indicating the rows and columns of the index, respectively) can be obtained as follows.

	$\displaystyle N_{i,j} $	$\displaystyle = $	$\displaystyle M_{i,j}M_{i,j}^*~ ~ (\textrm{if POWER\_ TYPE=POW}), $
	$\displaystyle N_{i,j} $	$\displaystyle = $	$\displaystyle abs(M_{i,j})~ ~ (\textrm{if POWER\_ TYPE=MAG}), $

Here, $M_{i,j}^{*}$ indicates the complex conjugate of $M_{i,j}$.