Approximate a onedimensional function using dynamic table
Simulink / Lookup Tables
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 fixedpoint data type. Due to quantization, xdat
can be strictly monotonic for a floatingpoint data type, but not after conversion
to a fixedpoint data type.
The ydat
vector is the table data, which is an evaluation of
the function at the breakpoint values.
The inputs to xdat
and ydat
cannot be
scalar (oneelement array) values. If you provide a scalar value to either of
these inputs, you see an error upon simulation. Provide a 1byn vector to both
the xdat
and ydat
inputs.
You define the lookup table by feeding xdat
and
ydat
as 1byn 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.
Breakpoints with even spacing can make Simulink^{®}
Coder™ generated code divisionfree. For more information, see fixpt_evenspace_cleanup
in
the Simulink documentation and Identify questionable fixedpoint operations (Embedded Coder) 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 

InterpolationExtrapolation
 Performs linear interpolation and extrapolation of the inputs.
NoteIf you select this lookup method, Simulink Coder software cannot generate code for this block. 
InterpolationUse 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 
Use Input Below
 Finds the element in 
Use Input Above
 Finds the element in 
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 Compare Solvers in the Simulink documentation.
Data Types 

Direct Feedthrough 

Multidimensional Signals 

VariableSize Signals 

ZeroCrossing Detection 
