Fourier transform of delta function and exponential function











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I am trying to understand the concept of taking Fourier Transform from delta function and exponential function in calculation Bello Function (deterministic description)




The Bello functions are 4 functions that describe the channel: channel
impulse response $h(tau,t)$, time-varying function $H(f,t)$,
frequency doppler function $h(f,f_{d})$ and delay doppler spread
function $h(tau,f_d)$.




Let's assume the function $e^{-j2pi f (at)} $
Now i would like to take Fourier transform in term of doppler frequence, fd.
FT of exponential function is delta function.



I have got $delta(fd-af)$. Is it correct? or it sould be $delta(fd-at)$? Should I transform the time into frequence?






exponential-function fourier-transform dirac-delta







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    up vote
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    down vote

    favorite












    I am trying to understand the concept of taking Fourier Transform from delta function and exponential function in calculation Bello Function (deterministic description)




    The Bello functions are 4 functions that describe the channel: channel
    impulse response $h(tau,t)$, time-varying function $H(f,t)$,
    frequency doppler function $h(f,f_{d})$ and delay doppler spread
    function $h(tau,f_d)$.




    Let's assume the function $e^{-j2pi f (at)} $
    Now i would like to take Fourier transform in term of doppler frequence, fd.
    FT of exponential function is delta function.



    I have got $delta(fd-af)$. Is it correct? or it sould be $delta(fd-at)$? Should I transform the time into frequence?






    exponential-function fourier-transform dirac-delta







    share|cite|improve this question


























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I am trying to understand the concept of taking Fourier Transform from delta function and exponential function in calculation Bello Function (deterministic description)




      The Bello functions are 4 functions that describe the channel: channel
      impulse response $h(tau,t)$, time-varying function $H(f,t)$,
      frequency doppler function $h(f,f_{d})$ and delay doppler spread
      function $h(tau,f_d)$.




      Let's assume the function $e^{-j2pi f (at)} $
      Now i would like to take Fourier transform in term of doppler frequence, fd.
      FT of exponential function is delta function.



      I have got $delta(fd-af)$. Is it correct? or it sould be $delta(fd-at)$? Should I transform the time into frequence?






      exponential-function fourier-transform dirac-delta







      share|cite|improve this question















      I am trying to understand the concept of taking Fourier Transform from delta function and exponential function in calculation Bello Function (deterministic description)




      The Bello functions are 4 functions that describe the channel: channel
      impulse response $h(tau,t)$, time-varying function $H(f,t)$,
      frequency doppler function $h(f,f_{d})$ and delay doppler spread
      function $h(tau,f_d)$.




      Let's assume the function $e^{-j2pi f (at)} $
      Now i would like to take Fourier transform in term of doppler frequence, fd.
      FT of exponential function is delta function.



      I have got $delta(fd-af)$. Is it correct? or it sould be $delta(fd-at)$? Should I transform the time into frequence?






      exponential-function fourier-transform dirac-delta




      exponential-function fourier-transform dirac-delta






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited 19 hours ago









      pedroth

      345




      345










      asked Nov 12 at 10:07









      LenaPark

      83




      83



























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