Performs the discrete differentiation of the sampled signal.
Sampled signal from time 0 to n1, where n is the number of elements in the sampled signal.
This input accepts a doubleprecision, floatingpoint number or a 1D array of doubleprecision, floatingpoint numbers.
Differentiation method.
This input is available only if you wire a 1D array of doubleprecision, floatingpoint number to x(t) or initial condition.
Name  Description 

2nd Order Central  The derivative of the sampled signal is defined by the following equation:
${y}_{i}=\frac{1}{2dt}({x}_{i+1}{x}_{i1})$
for i =0, 1, 2, ..., n1 where

4th Order Central  The derivative of the sampled signal is defined by the following equation:
${y}_{i}=\frac{1}{12dt}({x}_{i+2}+8{x}_{i+1}8{x}_{i1}+{x}_{i2})$
for i =0, 1, 2, ..., n1 where

Forward  The derivative of the sampled signal is defined by the following equation:
${y}_{i}=\frac{1}{dt}({x}_{i+1}{x}_{i})$
for i =0, 1, 2, ..., n1 where

Backward  The derivative of the sampled signal is defined by the following equation:
${y}_{i}=\frac{1}{dt}({x}_{i}{x}_{i1})$
for i =0, 1, 2, ..., n1 where

Default: 2nd Order Central
Initial condition of the sampled signal in the differentiation calculation.
This input accepts a doubleprecision, floatingpoint number or a 1D array of doubleprecision, floatingpoint numbers.
This node uses the first element of the initial condition if the differentiation method is 2nd Order Central or Forward. This node uses the first two elements in the initial condition if the differentiation method is 4th Order Central.
Final condition of the sampled signal in the differentiation calculation.
This input is available only if you wire a 1D array of doubleprecision, floatingpoint number to x(t) or initial condition.
This node uses the first element in the final condition if the differentiation method is 2nd Order Central or Forward. This node uses the first two elements if the differentiation method is 4th Order Central.
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
Sampling interval.
Default: 1
Derivative of the sampled signal.
This output can return a doubleprecision, floatingpoint number or a 1D array of doubleprecision, floatingpoint numbers.
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 differentiation f(t) of a function F(t) is defined by the following equation.
Let Y represent the sampled output sequence dx(t)/dt.
If derivative method is 2nd Order Central, Y is given by the following equation:
for i = 0, 1, 2, ..., n  1
where
If derivative method is 4th Order Central, Y is given by the following equation:
for i = 0, 1, 2, ..., n  1,
where
If derivative method is Forward, Y is given by the following equation:
for i = 0, 1, 2, ..., n  1
where n is the number of samples in x(t) and x_{n} is the first element in final condition.
If derivative method is Backward, Y is given by the following equation:
for i = 0, 1, 2, ..., n  1
where n is the number of samples in x(t) and x_{1} is the first element in initial condition.
The initial condition and final condition minimize the error at the boundaries.
Where This Node Can Run:
Desktop OS: Windows
FPGA: This product does not support FPGA devices