BPF – Band-pass filter

Block SymbolLicensing group: STANDARD

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

F_{s} = \frac{2 ξ a s}{a^{2} s^{2} + 2 ξ a s + 1},

where $a$ and $ξ$ 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 $ISSF = on$ , 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 (F64)

Output

y	Filtered output signal	Double (F64)

Parameters

fm	Peak frequency, middle of the frequency transmission band [Hz] $⊙$ 1.0	Double (F64)
xi	Relative damping coefficient (recommended value 0.5 to 1) $⊙$ 0.707	Double (F64)
ISSF	Steady state at start-up flag	Bool
	off .. Zero initial state on ... Initial steady state

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