Lookup Table Dynamic (Simulink Reference)

Approximate a one-dimensional function using a selected lookup method and a dynamically specified table

Library

Lookup Tables

Description

The Lookup Table Dynamic block computes an approximation to some function y=f(x) given x, y data vectors. The lookup method can use interpolation, extrapolation, or the original values of the input.

The x data vector must be strictly monotonically increasing after conversion to the input's fixed-point data type. Note that due to quantization, the x data vector may be strictly monotonic in doubles format, but not so after conversion to a fixed-point data type.

Note Unlike the Lookup Table block, the Lookup Table Dynamic block allows you to change the table data without stopping the simulation. For example, you may want to automatically incorporate new table data if the physical system you are simulating changes.

You define the lookup table by inputting the x and y table data to the block as 1-by-n vectors. To help reduce the ROM used by the code generated for this block, you can use different data types for the x table data and the y table data. However, these restrictions apply:

The y table data and the output vector must have the same sign, the same bias, and the same fractional slope.
The x table data and the x data vector must have the same sign, the same bias, and the same fractional slope. Additionally, the precision and range for the x data vector must greater than or equal to the precision and range for the x table data.

The block generates output based on the input values using one of these methods selected from the Lookup method parameter list:

Interpolation-Extrapolation--This is the default method; it performs linear interpolation and extrapolation of the inputs.

If a value matches the block's input, the output is the corresponding element in the output vector.
If no value matches the block's input, then the block performs linear interpolation between the two appropriate elements of the table to determine an output value. If the block input is less than the first or greater than the last input vector element, then the block extrapolates using the first two or last two points.

Interpolation-Use End Values--This method performs linear interpolation as described above but does not extrapolate outside the end points of the input vector. Instead, the end-point values are used.
Use Input Nearest--This method does not interpolate or extrapolate. Instead, the element in x nearest the current input is found. The corresponding element in y is then used as the output.
Use Input Below--This method does not interpolate or extrapolate. Instead, the element in x nearest and below the current input is found. The corresponding element in y is then used as the output. If there is no element in x below the current input, then the nearest element is found.
Use Input Above--This method does not interpolate or extrapolate. Instead, the element in x nearest and above the current input is found. The corresponding element in y is then used as the output. If there is no element in x above the current input, then the nearest element is found.

Note Note that there is no difference among the Use Input Nearest, Use Input Below, and Use Input Above methods when the input x corresponds exactly to table breakpoints.

The table data is converted from doubles to the x data type offline using round-to-nearest and saturation.

Data Type Support

The Lookup Table Dynamic block accepts signals of any data type supported by Simulink, including fixed-point data types.

Parameters and Dialog Box

The Main pane of the Lookup Table Dynamic block dialog appears as follows:

Lookup Method: Specify the lookup method.

The Signal data types pane of the Lookup Table Dynamic block dialog appears as follows:

Output data type and scaling: Specify the output data type and scaling via the dialog box, or inherit the data type and scaling from the driving block or by backpropagation. If you choose Specify via dialog, the Output data type and Output scaling parameters appear.
Output data type: Set the output data type. This parameter is only visible if you select Specify via dialog for the Output data type and scaling parameter.
Output scaling: Set the output scaling using either binary point-only or [Slope Bias] scaling. This parameter is only visible if you select Specify via dialog for the Output data type and scaling parameter.
Lock output scaling so autoscaling tool can't change it: If you select this check box, the output scaling is locked.
Round toward: Rounding mode for the fixed-point output.
Saturate to max or min when overflows occur: If selected, fixed-point overflows saturate.

Examples

For an example that illustrates the lookup methods supported by this block, see the example included in the Lookup Table block reference pages.

Characteristics

Direct Feedthrough
Yes

Scalar Expansion
No

Direct Feedthrough	Yes
Scalar Expansion	No

Lookup Table (n-D) Magnitude-Angle to Complex