Transformation

Linear transforms to map an input signal range to an output signal.

JCS Network Configuration


type	proc_transform

Signal name	Type	Required	Description
y_1	float32	required	Transform output 1 Signal name can be renamed by the user
y_2	float32	optional	Transform output 2 Signal name can be renamed by the user

Signal name	Type	Required	Description
x_1	float32	required	Transform input 1.
x_2	float32	optional	Transform input 2. `transform_type` `type_2x2` only.

Parameter name	Type	Required	Description
`transform_type`	enum	required	Selects the transform type.
`a_coeff`	float32	optional	Single transform coefficient. Required if `transform_type` `type_1x1` is selected
`b_coeff`	float32	optional	Single transform coefficient. Required if `transform_type` `type_1x1` is selected.
`A22_coeffs`	float32	required	2x2 A matrix transform coefficients, stored as an array: `[a11, a12, a21, a22]` Required is `transform_type` `type_2x2` is selected.
`b21_coeffs`	float32	required	2x1 b vector transform coefficients, stored as an array: `[b11, b21]` Required is `transform_type` `type_2x2` is selected.

The following transforms are available for parameter transform_type:

transform_type	Description
`type_1x1`	Single input, single output transform defined by \(y = ax + b\), where \(a\) and \(b\) are constants.
`type_2x2`	Double input, double output transform defined by \(\textbf{y} = \textbf{Ax} + \textbf{b}\), where \(\textbf{A}\) is a 2x2 matrix and \(\textbf{b}\) is a 2x1 vector.

If transform_type type_1x1 is selected then the transform is configured as a 1x1 transform that is defined by:

\[ y = ax + b \]

Where \(a\) is a single coefficient, \(b\) is a single coefficient and \(x\) and \(y\) are the single input and output signals.

Operation of the 1x1 transform requires:

transform_type must be set to type_1x1.
a_coeff to be configured. If not configured, a default value of \(a = 1.0\) is applied.
b_coeff to be configured. If not configured, a default value of \(b = 0.0\) is applied.
Signal x_1 must be connected.

If transform_type type_2x2 is selected then the transform is configured as a 2x2 matrix transform that is defined by:

\[ \textbf{y} = \textbf{Ax} + \textbf{b} \]

Where \(\textbf{A}\) is a 2x2 matrix, \(\textbf{b}\) is a 2x1 vector and \(\textbf{x}\) and \(\textbf{y}\) are the input and two output signals.

Operation of the 2x2 transform requires:

transform_type must be set to type_2x2.
A22_coeffs to be configured. If not configured, a default value of \(\textbf{A} = \big[\begin{smallmatrix} 1 & 0\\ 0 & 1 \end{smallmatrix}\big]\) is applied.
b21_coeffs to be configured. If not configured, a default value of \(\textbf{b} = \small[\begin{smallmatrix} 0 & 0 \end{smallmatrix}\small]^{\mathsf{T}}\) is applied.
Signal x_1 must be connected.
Signal x_2 must be connected.