FSK Equations

[derick007]

I am trying to derive an equation for an FSK signal in the time domain - see FSKTime

I then want to use Fourier analysis/transforms to find an equation so that I can plot the frequency response - see FSKFreq

I think I am nearly there, but the 2 delta terms and the minus signs in the FSKFreq document are concerning me

 

[gophert]

I am trying to derive an equation for an FSK signal in the time domain - see FSKTime

I then want to use Fourier analysis/transforms to find an equation so that I can plot the frequency response - see FSKFreq

I think I am nearly there, but the 2 delta terms and the minus signs in the FSKFreq document are concerning me

What does

https://www.wolframalpha.com/examples/mathematics/algebra/equation-solving/

say?

 

[Tony Stewart]

see (15) http://www.ece.iit.edu/~biitcomm/re...uency Modulation (FM) , FSK, MSK and more.pdf

 

[derick007]

Thank you Tony, this looks like what I am after

 

[popper]

If you are modelling, step or impulse response is the normal way to do it. For real time, slow sweep freq is the proper way.

 

[derick007]

Having trouble with equation 14 in FSK3.png

Included FSK1 & 2 for reference. Taken from a document entitled Intuitive Guide to Principles of Communication.

Any help would be most welcome.

 

[Tony Stewart]

Questions, corrections?
Please contact me,
Charan Langton

Email links deleted... Mod!

 

[derick007]

Tried sending you an email to email link deleted, but keeps getting rejected.

Will try your website

 

[Tony Stewart]

I copied it from her public pdf file. Consider my last comment as a cut and paste from the author of my previous link to her pdf file on FSK obviously not my own content or email. It is not private info. She is a public figure https://www.google.com/search?q=Charan+Langton&ie=utf-8&oe=utf-8&client=firefox-b try somewhere else. SHe is a self-employed author and consultant after 20yrs at Loral Aerospace.