Electro-acoustic control of radiation impedance for brass instrument timbre shaping: design of a vocalizing mute

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Table 4.

Physical, Thiele and Small and reduced parameters of the speaker SICA 3L 0.8 SL 8Ω mode Z000900, given by the manufacturer. Note: Greyed-out parameters in the first 2 lines are not used in the expression of the controller K, because it is designed to control the loudspeaker in current.

	Physical parameters		Reduced parameters

	Symbol	Value	Symbol	Value
Electrical	R_e	8Ω	$τ_{e} = \frac{L_{e}}{R_{e}}$ $\tau _{\mathrm {e}} = \frac {L_{\mathrm {e}}}{R_{\mathrm {e}}}$	1.38·10⁻⁵ s

	L_e	0.11 mH	$β_{e} = \frac{1}{L_{e}}$ $\beta _{\mathrm {e}} = \frac {1}{L_{\mathrm {e}}}$	9.09·10³ H⁻¹

Electro/Mechanical Coupling	Bl=2.8 N.A⁻¹

Mechanical	C_ms	602 μm.N⁻¹	$β_{m} = \frac{1}{M_{ms}}$ $\beta _{\mathrm {m}} = \frac {1}{M_{\mathrm {ms}}}$	5.26·10² kg⁻¹

	R_ms	4.06·10⁻¹ N.m⁻¹.s	$τ_{m} = \frac{M_{ms}}{R_{ms}}$ $\tau _{\mathrm {m}} = \frac {M_{\mathrm {ms}}}{R_{\mathrm {ms}}}$	4.68·10⁻³ s

	M_ms	1.9·10⁻³ kg	$ω_{m} = \frac{1}{\sqrt{C_{ms} M_{ms}}}$ $\omega _{\mathrm {m}} = \frac {1}{\sqrt {C_{\mathrm {ms}}M_{\mathrm {ms}}}}$	9.35·10² rad.s⁻¹

Mechanical/Acoustic Coupling	S_d=30.2 cm²

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