Version:

Last Modified: March 15, 2017

Designs a Savitzky-Golay FIR smoothing filter, returning the designed Savitzky-Golay filter coefficients and the differentiation filter coefficients.

The number of data points to each side of the current data point to use for the least-squares minimization.

**side points***2 + 1 is the length of the moving window, which must be greater than the **polynomial order**.

**Default: **6

Order of the polynomial.

**Default: **3

Weighting vector to use in the least squares minimization.

This array must be empty or have a length of **side points***2 + 1.

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

A matrix with rows representing the FIR filter coefficients.

The matrix is *n*-by-*n*, where *n* is **side points***2+1.

A matrix where the *p*-th row is the differentiation filter for the *p*-th order derivative.

The matrix is *m*-by-*n*, where *m* is **polynomial order**+1, and *n* is **side points***2+1.

This node computes **differentiation filters** only if **compute differentiation filters?** is True.

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

**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 Savitzky-Golay filter smoothes a noisy signal by the piece-by-piece fitting of a polynomial function to the signal. This node performs the fitting by least squares minimization. The length of the moving polynomial fitting window is 2*k*+1, where *k* is **side points**.

The central row of **Savitzky-Golay filters** estimates the middle point of the moving window. The other rows of **Savitzky-Golay filters** smooth the endpoints of the signal, where the window length exceeds the number of remaining data points.

To smooth a signal, apply the first *k* rows of **Savitzky-Golay filters** to the first 2*k*+1 points of the signal to get the first* k* smoothed points. Apply the last* k* rows of **Savitzky-Golay filters** to the last 2*k*+1 points of the signal to get the last *k* smoothed points. Apply the central row of **Savitzky-Golay filters** for all other points.

**Where This Node Can Run: **

Desktop OS: Windows

FPGA: This product does not support FPGA devices