Date: Fri, 29 Mar 2024 09:49:40 +0000 (GMT)
Message-ID: <2035905233.153.1711705780399@[172.30.0.157]>
Subject: Exported From Confluence
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Where To Find This Example
Understanding A=
WR .emz Files
Design Notes
Output Equation Syntax With Swept Variables
With the addition of the swept variable framework in AWR products comes =
an enhanced output equation capability that elegantly handles swept data. T=
his project will shows how the new output equations work with an example of=
a device IV curves.
Device IV Schematic - A very simple schematic us=
ed to generate swept data.
IV Curves Graph - Graph displaying the device IV=
curves and a scaled version of these curves calculated in the output equat=
ions.
Interpolation results Graph - Graph displaying o=
ne trace of the IV curves and then results from the output equations interp=
olating this data to a finer x-axis resolution. Notice that the linear inte=
rpolation matches the original data, but the other types of interpolation g=
ive a much smoother curve.
General Output Equation Comments
Any output equation that isn't multi-dimentional (meaning only swept fre=
quency, etc) would be displayed in {}. Now if there is a swept variable inc=
luded in the simulation results in the output equations, the results get di=
splayed with nested brackets. The values for each group of inner brackets a=
re at each x-axis value for the measurement (set in the output equation dia=
log box) and the values in each inner bracket set are the results at each n=
on x-axis sweep.
For example, lets say we have a project setup to sweep over frequencies =
f1,f2,f3,f4 and over powers p1 and p2. Now lets say we setup an output equa=
tion to return these results with frequency on the x-axis and all of the po=
wer points. If we displayed the results they would look like:
{{p1,p2},{p1,p2},{p1,p2},{p1,p2}}
(f1) (f2) (f3) (f4)
where the values in () wont be displayed but are to show what swept valu=
e corresponds to which group of data.
If we set power to be the x-axis and all of the frequency points, the di=
splayed results would look like:
{{f1,f2,f3,f4},{f1,f2,f3,f4}}
(p1) (p2)
So having discussed the basics of how these work, here is an explanation=
of the equations in the Output Equations. To see the resulting value pleas=
e see the Output Equations block.
The variable x is being assigned the IV curves from the schematic "Devic=
e IV".
x =3D Device IV:IDC(IVCURVE@VSweep)
The swpvals(x) returns the values set for the x-axis of the measurement,=
in this case, these are the swept drain voltage of the device
swpvals(x):
Each group of the inner bracket data in x, corresponds to the swept valu=
e in this array.The first value, 0, is the first swept voltage data point. =
In the x vector the first group of data is at Vd of 0 and then at all the s=
tepped voltages. These should all be zero.
The array size function returns the total size of the data, first value =
is x-axis, second value is the number of swept values
array_size(x):
The transpose function transposes the swept variable data. When IV data =
is transposed, it re-arranges the data so that now each inner grouping of d=
ata corresponds to one stepped value of the data. If you look closely at th=
e data below you will see this.
xt =3D transpose(x)
The three equations below are used to scale the original IV data. The 10=
00 term is there to convert from A to mA Remember output equations =
always return values in base units (A, Hz, Farads, Henries, etc). =
These results are then plotted on the "IV Curves" graph. Try tuning on the =
scale variable and watch what happens
scale=3D1.5
vg2 =3D x*1000*scale
The output equations now have an interpolation function where you specif=
y the interpolation type (linear, polynomial, rational function, or cubic),=
the original x-axis data the original y-axis data and the new x-axis data =
to be interpolated to. It will return the interpolated y-axis data. Results=
from the different types of interpolation are displayed on the "Interpolat=
ion results" graph and are the result of the equations below
First get and display the original x-axis values using the swpvals equat=
ion as discussed above
orig_x =3D swpvals(x)
Second, get the original y-axis data. This will only be done at one of t=
he stepped values (vg =3D -0.8). You can return individual rows or columns =
of the swept data by using the * operator in the matrix index syntax [row,c=
olumn]. So below, the synatx x[*,2] means get the results of all the x-axis=
points at the 2nd swept value point.
orig_y =3D x[*,2]
Third, create the new x-axis data using the stepped function
new_x =3D stepped(0,4,0.25)
Fourth, do the interpolation, the first parameter is the interpolation t=
ype, 0=3Dlinear, 1=3Dpolynomial, 2=3Drational function, 3=3D spline
new_y_linear =3D interp(0,orig_x,orig_y,new_x)*1000
Fifth, use the plot_vs function to create a variable with the new arrays=
. The plot_vs functions allows you to specify what values to use for the x-=
axis when plotting an output equation result. If you don't use this functio=
n when you want to plot results, the x-axis will just be the index numbers =
of the array.
new_y_linear_plot =3D plot_vs(new_y_linear,new_x)
Sixth, assign the proper units to the x-axis of the data. The 2nd parame=
ter is a number representing the units. These are the units enumerations se=
tup in the AWR API. 1 =3D frequency, 2 =3D capacitance, 3 =3D inductance, 4=
=3D resistance, 5=3Dconductance, 6=3Dlength (metric), 7=3Dlength (english),=
8=3Dtemperature, 9=3Dangle, 10=3Dtime, 11=3Dvoltage, 12=3Dcurrent, 13=3D p=
ower(log), 14=3D power)
new_y_linear_plot=3Dassign_swpunit(new_y_linear_plot,11)
The three groupings below repeat the six steps above but use the differe=
nt types of interpolation.
new_y_poly =3D interp(1,orig_x,orig_y,new_x)*1000
new_y_poly_plot =3D plot_vs(new_y_poly,new_x)<=
/p>
new_y_poly_plot=3Dassign_swpunit(new_y_poly_plot,11)
new_y_rational =3D interp(2,orig_x,orig_y,new_x)*1000=
strong>
new_y_rational_plot =3D plot_vs(new_y_rational,new_x)=
strong>
new_y_rational_plot=3Dassign_swpunit(new_y_rational_plot,11)=
new_y_cubic =3D interp(3,orig_x,orig_y,new_x)*1000
new_y_cubic_plot =3D plot_vs(new_y_cubic,new_x)
new_y_cubic_plot=3Dassign_swpunit(new_y_cubic_plot,11)<=
/strong>
Schemat=
ic - Device_IV
=
Graph - Interpolation results
Graph - IV C=
urves
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