Appendix D: Sample Waveform Library

Log Frequency Sweep Made with the equation editor. (LOG_SWP.WFM)

Figure D'8: Log Frequency Sweep Formula and Waveform

Constants

k0 is the sweep peri￿d a￿d k1 a￿d k2 are the starti￿g a￿d e￿di￿g

 

freque￿cies.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Description

This wavef￿r￿ ca￿ be expressed ge￿era￿￿y by the f￿￿￿￿wi￿g f￿r￿u￿a.

 

 

 

￿

 

 

 

t

t

 

f

 

 

￿

 

V￿t￿ + sin￿2pf1

￿

￿

@ In

2

￿

dt ) f0￿

 

 

 

 

 

 

exp

T

f

 

 

 

 

 

￿

 

 

 

 

 

1

 

￿

 

 

 

 

 

0

 

 

 

 

 

 

 

Here f1 is the starti￿g freque￿cy, f2 is the e￿di￿g freque￿cy, ø0 is the i￿itia￿

 

phase, a￿d T is the sweep peri￿d.

 

 

 

 

T￿ assure that the phases ￿atch whe￿ this wavef￿r￿ is iterated, the sweep

 

peri￿d is set t￿ be c￿￿se t￿ a￿ i￿teger ￿u￿tip￿e ￿f the recipr￿ca￿ ￿f the

 

average freque￿cy

 

 

 

 

 

 

 

 

￿

f2￿f1

￿￿￿In

f*2

￿

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

f

f*1

 

 

 

 

 

 

 

 

Settings

Wavef￿r￿ p￿i￿ts: 22000

 

 

 

 

 

 

 

C￿￿ck freque￿cy: 20 MHz

 

 

 

 

 

 

 

Output ti￿e: 0.22 ￿s

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

AWG2021 User Manual

D'11