FSK Equations

D

derick007

Member

• Sep 12, 2018

• #1

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

 

Attachments

• FSKTime.pdf

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• FSKFreq.pdf

  136.9 KB · Views: 200

gophert

Well-Known Member

Most Helpful Member

• Sep 13, 2018

• #2

derick007 said:

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

Click to expand...

What does

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

say?

 

Tony Stewart

Well-Known Member

Most Helpful Member

• Sep 15, 2018

• #3

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

 

D

derick007

Member

• Sep 25, 2018

• #4

Thank you Tony, this looks like what I am after

 

P

popper

New Member

• Oct 10, 2018

• #5

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.

 

D

derick007

Member

• Nov 16, 2018

• #6

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.

 

Attachments

• FSK1.png

  354.5 KB · Views: 244
• FSK2.png

  324.6 KB · Views: 224
• FSK3.png

  312.5 KB · Views: 222

Tony Stewart

Well-Known Member

Most Helpful Member

• Nov 16, 2018

• #7

Questions, corrections?
Please contact me,
Charan Langton

Email links deleted... Mod!

 

Last edited by a moderator: Nov 21, 2018

D

derick007

Member

• Nov 17, 2018

• #8

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

Will try your website

 

Last edited by a moderator: Nov 21, 2018

Tony Stewart

Well-Known Member

Most Helpful Member

• Nov 21, 2018

• #9

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.

 

Last edited: Nov 21, 2018