BPF – Band-pass filter

Block SymbolLicensing group: STANDARD

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

Fs=2ξasa2s2+2ξas+1,<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mrow> <msub><mrow><mi>F</mi></mrow><mrow><mi>s</mi></mrow></msub> <mo class="MathClass-rel">=</mo> <mfrac><mrow><mn>2</mn><mi>ξ</mi><mi>a</mi><mi>s</mi></mrow> <mrow><msup><mrow><mi>a</mi></mrow><mrow><mn>2</mn></mrow></msup><msup><mrow><mi>s</mi></mrow><mrow><mn>2</mn></mrow></msup> <mo class="MathClass-bin">+</mo> <mn>2</mn><mi>ξ</mi><mi>a</mi><mi>s</mi> <mo class="MathClass-bin">+</mo> <mn>1</mn></mrow></mfrac><mo class="MathClass-punc">,</mo> </mrow></math>

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)
R1	Block reset (same state as after init)	Bool
HLD	Hold block execution	Bool

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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