Results 1 to 3 of 3

Math Help - System of Equations with Sinc

  1. #1
    Member
    Joined
    Jun 2008
    From
    Plymouth
    Posts
    120
    Thanks
    5

    System of Equations with Sinc

    I have the following system:
    A\frac{\sin (B(f_1 - f_0))}{B(f_1 - f_0)} = X_1
    A\frac{\sin (B(f_2 - f_0))}{B(f_2 - f_0)} = X_2
    where the unknowns are A and f_0.

    Can you solve such a system analytically? I can reduce it to k*sinc(...) = sinc(...) but what do I do from there?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,694
    Thanks
    618

    Re: System of Equations with Sinc

    Hey fobos3.

    Can you show us what you have tried?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jun 2008
    From
    Plymouth
    Posts
    120
    Thanks
    5

    Re: System of Equations with Sinc

    I tried solving for A in the two equations and then equating the result. This gives you something like:
    k\times sinc(B(f_1-f_0)) = sinc(B(f_2-f_0))
    I also tried expressing the two equations in exponential form but couldn't figure out how to solve it. I am not sure if it is possible to solve the system analytically.

    P.S.
    This is not a homework problem and it is related to calculating the frequency and amplitude of a sine wave using two recursive DFTs.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: March 21st 2012, 01:38 AM
  2. Infinite Sum of sinc(n/c)
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 16th 2012, 10:17 PM
  3. sinc
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: March 13th 2011, 05:18 AM
  4. Replies: 2
    Last Post: April 20th 2010, 03:26 PM
  5. Sinc functions
    Posted in the Advanced Math Topics Forum
    Replies: 4
    Last Post: February 17th 2008, 07:48 PM

Search Tags


/mathhelpforum @mathhelpforum