28.11.2014 Views

Online proceedings - EDA Publishing Association

Online proceedings - EDA Publishing Association

Online proceedings - EDA Publishing Association

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

11-13 May 2011, Aix-en-Provence, France<br />

V<br />

x<br />

= nx<br />

Fx<br />

(2)<br />

i n x<br />

x<br />

= (3)<br />

n x is the piezoelectric conversion factor, V x , the resonator<br />

excitation voltage and i x , the motional current.<br />

C 0 is the inter-electrode capacitance formed by the<br />

electrodes with quartz as dielectric. Finally, the output current<br />

in the resonator is:<br />

i<br />

tot<br />

x<br />

dVx<br />

= C 0<br />

+ nx<br />

x<br />

(4)<br />

dt<br />

+<br />

V +<br />

VerilogA OUT<br />

-<br />

Rf<br />

V −<br />

V<br />

Fig. 4. transconductance amplifier<br />

The resonator block in Verilog-A is built with equations (1),<br />

(2), (3) and (4). They give the physical description. The code<br />

is:<br />

module resonator(a,b);<br />

input a; output b;<br />

electrical a,b;<br />

kinematic Z,Fx;<br />

kinematic_v Vc;<br />

parameter real k=1,4e3 from [0:inf);<br />

parameter real m=1e-8 from [0:inf);<br />

parameter real ρ=3,1e-7 from [0:inf);<br />

parameter real n=2,8e-3 from [0:inf);<br />

analog<br />

begin<br />

Vel(Vc)

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!