# Transform | H2 Transfer Functions

This command is the same as the Transform | MIMO Transfer Functions command, but the H2 Transfer Functions are calculated differently.

An H1 Transfer Function is the Cross spectrum divided by the Input Auto spectrum

An H2 Transfer Function is the Output Auto spectrum divided by the Cross spectrum

## H2 Transfer Function Formula

The H2 Transfer Function is calculated using the following formula;

H2(w) = X(w)t X(w) / X(w)t F(w)

where:

X(w)t F(w) = Cross spectrum between Output & Input

X(w)t X(w) = Output Auto spectrum

H2(w) - H2 Transfer Function

F(w) - Fourier spectra of Input

X(w) - Fourier spectra of Output

w - frequency variable

t - denotes complex conjugate