### BPF – Band-pass filter

Block SymbolLicensing group: STANDARD

Function Description
The BPF implements a second order filter in the form

${F}_{s}=\frac{2\xi as}{{a}^{2}{s}^{2}+2\xi as+1},$

where $a$ and $\xi$ are are the block parameters fm and xi respectively. The fm parameter defines the middle of the frequency transmission band and xi is the relative damping coefficient.

If $\mathtt{\text{ISSF}}=\mathtt{\text{on}}$, then the state of the filter is set to the steady value at the block initialization according to the input signal u.

Input

 u Input signal to be filtered double

Output

 y Filtered output signal double

Parameters

 fm Peak frequency, middle of the frequency transmission band [Hz]  $\odot$1.0 double xi Relative damping coefficient (recommended value 0.5 to 1)  $\odot$0.707 double ISSF Steady state at start-up flag bool off .. Zero initial state on ... Initial steady state

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