Re: are these stabability conditions the same?
From: Randy Yates (randy.yates_at_sonyericsson.com)
Date: 12/28/04
- Next message: Dave Seaman: "Re: Is zero even or odd?"
- Previous message: John Woodgate: "Re: Is zero even or odd?"
- In reply to: Randy Yates: "Re: are these stabability conditions the same?"
- Next in thread: Tim Wescott: "Re: are these stabability conditions the same?"
- Messages sorted by: [ date ] [ thread ]
Date: 28 Dec 2004 13:16:00 -0500
Randy Yates <yates@ieee.org> writes:
> [...]
> Essentially, this is a sufficient condition for convergence but not
> a necessary one.
This is wrong.
GIVEN that a transfer function has the form of a rational function, the
ROC conditions are NECESSARY AND SUFFICIENT.
The apparent discrepancy you (Kiki) reveal is that one test is for
rational functions while the other is for any impulse response,
whether it is from a rational transfer function or not. See Oppenheim
and Willsky's "Signals and Systems," for example.
-- Randy Yates Sony Ericsson Mobile Communications Research Triangle Park, NC, USA randy.yates@sonyericsson.com, 919-472-1124
- Next message: Dave Seaman: "Re: Is zero even or odd?"
- Previous message: John Woodgate: "Re: Is zero even or odd?"
- In reply to: Randy Yates: "Re: are these stabability conditions the same?"
- Next in thread: Tim Wescott: "Re: are these stabability conditions the same?"
- Messages sorted by: [ date ] [ thread ]
Relevant Pages
|
