Approximate one-dimensional function using dynamic table
The Lookup Table Dynamic block computes an approximation of a function y = f(x) using xdat and ydat vectors. The lookup method can use interpolation, extrapolation, or the original values of the input.
Using the Lookup Table Dynamic block, you can change the table data without stopping the simulation. For example, you can incorporate new table data if the physical system you are simulating changes.
The xdat vector is the breakpoint data, which must be strictly monotonically increasing. The value of the next element in the vector must be greater than the value of the preceding element after conversion to a fixed-point data type. Due to quantization, xdat can be strictly monotonic for a floating-point data type, but not after conversion to a fixed-point data type.
The ydat vector is the table data, which is an evaluation of the function at the breakpoint values.
Note: The inputs to xdat and ydat cannot be scalar (one-element array) values. If you provide a scalar value to either of these inputs, you see an error upon simulation. Provide a 1-by-n vector to both the xdat and ydat inputs.
You define the lookup table by feeding xdat and ydat as 1-by-n vectors to the block. To reduce ROM usage in the generated code for this block, you can use different data types for xdat and ydat. However, these restrictions apply:
The xdat breakpoint data and the x input vector must have the same sign, bias, and fractional slope. Also, the precision and range for x must be greater than or equal to the precision and range for xdat.
The ydat table data and the y output vector must have the same sign, bias, and fractional slope.
Tip Breakpoints with even spacing can make Simulink® Coder™ generated code division-free. For more information, see fixpt_evenspace_cleanup in the Simulink documentation and Identify questionable fixed-point operations in the Simulink Coder documentation.
The block uses the input values to generate output using the method you select for Lookup Method:
|Lookup Method||Block Action|
Performs linear interpolation and extrapolation of the inputs.
|Interpolation-Use End Values (default)|
Performs linear interpolation but does not extrapolate outside the end points of the breakpoint data. Instead, the block uses the end values.
|Use Input Nearest|
Finds the element in xdat nearest the current input. The corresponding element in ydat is the output.
|Use Input Below|
Finds the element in xdat nearest and below the current input. The corresponding element in ydat is the output. If there is no element in xdat below the current input, the block finds the nearest element.
|Use Input Above|
Finds the element in xdat nearest and above the current input. The corresponding element in ydat is the output. If there is no element in xdat above the current input, the block finds the nearest element.
Note The Use Input Nearest, Use Input Below, and Use Input Above methods perform the same action when the input x matches a breakpoint value.
Some continuous solvers subdivide the simulation time span into major and minor time steps. A minor time step is a subdivision of the major time step. The solver produces a result at each major time step and uses results at minor time steps to improve the accuracy of the result at the major time step. For continuous solvers, the output of the Lookup Table Dynamic block can appear like a stair step because the signal is fixed in minor time step to avoid incorrect results. For more information about the effect of solvers on block output, see Solvers in the Simulink documentation.
The Lookup Table Dynamic block accepts signals of the following data types:
For more information, see Data Types Supported by Simulink in the Simulink documentation.
Specify the lookup method. For details, see How the Block Generates Output.
Specify the output data type. You can set it to:
A rule that inherits a data type, for example, Inherit: Inherit via back propagation
The name of a built-in data type, for example, single
The name of a data type object, for example, a Simulink.NumericType object
An expression that evaluates to a data type, for example, fixdt('double')
Click the Show data type assistant button to display the Data Type Assistant, which helps you set the Output data type parameter.
See Specify Block Output Data Types for more information.
Select to lock the output data type setting of this block against changes by the Fixed-Point Tool and the Fixed-Point Advisor. For more information, see Use Lock Output Data Type Setting.
Specify the rounding mode for fixed-point operations. For more information, see Rounding. in the Fixed-Point Designer™ documentation.
Select to have overflows saturate to the maximum or minimum value that the data type can represent. Otherwise, overflows wrap.
When you select this check box, saturation applies to every internal operation on the block, not just the output or result. In general, the code generation process can detect when overflow is not possible. In this case, the code generator does not produce saturation code.
|For an example of...||See...|
|Breakpoint and table data entry|
|Block output for different lookup methods|