Re: Want a smooth function from Arg[ ]
- To: mathgroup@smc.vnet.net
- Subject: [mg12501] Re: Want a smooth function from Arg[ ]
- From: siegman@ee.stanford.edu (AES)
- Date: Tue, 19 May 1998 13:32:02 -0400
- Organization: Stanford University
- References: <199805010709.DAA00138@smc.vnet.net.> <199805050729.DAA17075@smc.vnet.net.> <6jjbmt$gol$8@dragonfly.wolfram.com>
* > > However, the wrapping of the phase would seem to make this difficult to * > > do directly. Any ideas on how to manipulate the results of Arg to * > > give a continuous function of data? * two dimensions. If you hear of a different approach than an * after-the-fact hunting for discontinuities, please let me know. This won't work for all cases, but I had one problem (the Adler equation) where I had a closed-form analytic solution for a phase angle phi[t] that evolved over many cycles but involved ArcTan's, which kept leading to discontinuities. In the end I found it easier to just numerically integrate the original differential equation that governed the phase using NDSolve[_] and plot the numerical solution. --AES
- References:
- Want a smooth function from Arg[ ]
- From: scott@vader.engr.ucdavis.edu (Ryan Scott)
- Re: Want a smooth function from Arg[ ]
- From: Daniel Lichtblau <danl@wolfram.com>
- Want a smooth function from Arg[ ]