Results 1 to 7 of 7

Math Help - S-transform

  1. #1
    Junior Member
    Joined
    Mar 2008
    Posts
    60

    S-transform

    Hi.. does anyone know how to do the transformation for this type 2 S-transfer function,
    H(s) = 10s^2/(s + 2pi*500k)(s+2pi*10k).
    Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by ashes View Post
    Hi.. does anyone know how to do the transformation for this type 2 S-transfer function,
    H(s) = 10s^2/(s + 2pi*500k)(s+2pi*10k).
    Thanks.
    To what with it, its a system transfer function in Laplace transform form

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2008
    Posts
    60

    reply

    well i know it is a transfer function of a high pass filter but how do i know how many poles and zeroes does it have..?I mean..how do i go about doing the transformation..S-transform is pretty new to me..
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by ashes View Post
    well i know it is a transfer function of a high pass filter but how do i know how many poles and zeroes does it have..?I mean..how do i go about doing the transformation..S-transform is pretty new to me..
    The zeros are points at which it is zero, that is zeros of the numerator. In this case it has two both at 0.

    Poles are zeros of the denominator, again this has two at -2 \pi ~500k and -2 \pi ~10k.

    RonL
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Mar 2008
    Posts
    61
    In case you need the inverse transform, you must split it up using partial fractions. After this do the polynomial division because you have s^2 in the numerator and only a first degree polynomial in the denominator. Then you can obtain the inverse in the time domain. It is an odd one. You will require a delta function and two exponentials.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Mar 2008
    Posts
    60

    reply

    I tried to expand the function cos i need to plot the amplitude and phase response bode plot anyway does anyone have any idea how?..this is my function...THanks

    10*s/(s+2pi*10k)*s/(s+2pi*500k)*1/[(s/2pi*10k+1)(s/2pi*500k+1)
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Junior Member
    Joined
    Mar 2008
    Posts
    61
    Quote Originally Posted by ashes View Post
    I tried to expand the function cos i need to plot the amplitude and phase response bode plot anyway does anyone have any idea how?..this is my function...THanks

    10*s/(s+2pi*10k)*s/(s+2pi*500k)*1/[(s/2pi*10k+1)(s/2pi*500k+1)
    You're not being very clear on this function. You should use parenthesis were appropriate. Is the function the following:

    H(s)=\frac{10\cdot s^2}{(s+2\pi10k)(s+2\pi500k)}\cdot \frac{\displaystyle 1}{\displaystyle \left(\frac{s}{2\pi10k}+1\right)\cdot \left(\frac{s}{2\pi500k}+1\right)}

    If so, you can rewrite it as:

    H(s)=K\cdot \frac{s^2}{(s+a)^2(s+b)^2}

    With:

    a=2\pi10k
    b=2\pi500k
    K=10ab

    Now replace:

    s --> j\omega

    And obtain from this the absolute value and the phase. That should give you enough information to plot the bode diagram. It has been a long time since I've done this, so please confirm this with your textbook.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: March 22nd 2014, 03:53 PM
  2. Laplace transform and Fourier transform what is the different?
    Posted in the Advanced Applied Math Forum
    Replies: 8
    Last Post: December 29th 2010, 10:51 PM
  3. transform using cdf
    Posted in the Advanced Statistics Forum
    Replies: 5
    Last Post: January 2nd 2010, 01:30 PM
  4. Replies: 0
    Last Post: April 23rd 2009, 05:44 AM
  5. how to transform??
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: November 19th 2008, 12:44 AM

Search Tags


/mathhelpforum @mathhelpforum