Evaluates the Chebyshev polynomial of a given order.
Real number.
Default: 0
Nonnegative order of the Chebyshev polynomial.
Default: 0
Error conditions that occur before this node runs.
The node responds to this input according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
Default: No error
Value of the n^{th} Chebyshev polynomial at x.
Error information.
The node produces this output according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
The following equation defines the Chebyshev polynomial:
where
T_{n}(x) forms the base of the Chebyshev approximation. For i ≠ j, the following equation gives the Chebyshev approximation.
All T_{n}(x) form an orthogonal system over the weight function
The following illustration shows the four Chebyshev polynomials of order n = 0, 1, 2, 3.
Where This Node Can Run:
Desktop OS: Windows
FPGA: Not supported
Web Server: Not supported in VIs that run in a web application