Implement fixed-point sine wave by using lookup table approach optimized for HDL code generation
HDL Coder™ / Lookup Tables
The Sine HDL Optimized block implements a fixed-point sine wave by using a lookup table method that exploits quarter-wave symmetry.
For the most efficient HDL implementation, configure the block with an exact power of
two as the number of elements. In the Block Parameters dialog box, for Number
of data points, specify an integer that is an exact power of two. That
is, specify the lookup table data points to be
(2^n)
, where n is an
integer. By default, the Number of data points is 64.
When you specify a power of two for the Number of data points, the lookup tables precede a register without reset after HDL code generation. The combination of the lookup table block and register without reset maps efficiently to RAM on the target device.
Depending on your selection of the Output formula parameter, the blocks can output these functions of the input signal:
sin(2πu)
cos(2πu)
exp(i2πu)
sin(2πu) and cos(2πu)
Use the Table data type parameter to specify the word length of the fixed-point output data type. The fraction length of the output is the output word length minus 2.
The Sine HDL Optimized block accepts signals of these data types:
Floating point
Built-in integer
Fixed point
Boolean
The output of the block is a fixed-point data type.
For more information, see Data Types Supported by Simulink in the Simulink® documentation.
Select the signal(s) to output.
Specify the number of data points to retrieve from the lookup table. The
implementation is most efficient when you specify the lookup table data
points to be (2^n)
, where
n is an integer.
Specify the table data type. You can specify an expression that evaluates
to a data type, for example, fixdt(1,16,0)
.
Click the Show data type assistant button
to display the Data Type
Assistant, which helps you set the table data type.
Display the Data Type Assistant. In the Data Type Assistant, you can select the mode to specify the data type.
Select the mode of data type specification. If you select
Expression
, enter an
expression that evaluates to a data type, for example,
fixdt(1,16,0)
.
If you select Fixed point
, you
can use the options in the Data Type
Assistant to specify the fixed-point data
type. In the Fixed point
mode,
you can choose binary point scaling, and specify the
signedness, word length, fraction length, and the data type
override setting.
Selecting this check box inserts a unit delay without reset. You can simulate this delay in the Simulink modeling environment. When you generate HDL code, a no-reset register is inserted after the block. The combination of lookup table with no-reset register maps to RAM on the target hardware.
Data Types | Double | Single | Boolean | Base Integer | Fixed-Point |
Sample Time | Inherited from driving block |
Direct Feedthrough | Yes |
Multidimensional Signals | No |
Variable-Size Signals | No |
Zero-Crossing Detection | No |
Code Generation | Yes |
Cosine HDL Optimized | Sine, Cosine | Trigonometric Function