# Walsh Hadamard Inverse (G Dataflow)

Computes the inverse of the real Walsh Hadamard transform of a sequence.

The input sequence.

The length of the sequence has to be a power of 2, otherwise this node returns an error.

## error in

Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

Default: No error

## x

The inverse Walsh Hadamard transform of the input sequence.

## error out

Error information. The node produces this output according to standard error behavior.

## Algorithm Definition

If WH{X} denotes the Walsh Hadamard transform of a sequence X and WHI{X} denotes the inverse Walsh Hadamard transform, then:

$WHI\left\{WH\left\{X\right\}\right\}=WH\left\{WHI\left\{X\right\}\right\}=X$

Furthermore, the following equation is valid:

$WHI\left\{X\right\}=\frac{1}{n}WH\left\{X\right\}$

where n is the length of X.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported