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Principal determination

  • 16-08-2010 7:05pm
    #1
    Anima
    Registered Users, Registered Users 2 Posts: 3,945 ✭✭✭


    I'm currently reading a paper describing an algorithm. However I don't understand this phrase.
    The instantaneous frequency Wk(t) is estimated by first calculating the heterodyned phase increment (some equation) then taking its principal determination (between +- PI) and using the following equation (another equation)

    Might be difficult without the equations but I was wondering if anyone knew what it might mean offhand?

    Thanks


Comments

  • #2
    Michael Collins
    Moderators, Science, Health & Environment Moderators Posts: 1,852 Mod ✭✭✭✭Michael Collins


    Anima wrote: »
    I'm currently reading a paper describing an algorithm. However I don't understand this phrase.



    Might be difficult without the equations but I was wondering if anyone knew what it might mean offhand?

    Thanks

    I reckon it's just refering to the fact that adding 2pi to any angle gives the same point in the Cartesian plane (in radians, obviously). Is that formula that you left out an inverse trig formula by any chance?

    Principal value just means restricting to the range (-Pi, -Pi]. See Wiki


  • #3
    Anima
    Registered Users, Registered Users 2 Posts: 3,945 ✭✭✭Anima


    Cheers, I figured it was something like that but I wanted to be sure.

    Yeah there was an inverse trigonometric function in there, spot on.

    Thanks again.


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