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
edited Nov 19 at 11:41
pedroth
345
asked Nov 12 at 10:07
LenaPark
83
add a comment |
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
edited Nov 19 at 11:41
pedroth
345
asked Nov 12 at 10:07
LenaPark
83
add a comment |
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
edited Nov 19 at 11:41
pedroth
345
asked Nov 12 at 10:07
LenaPark
83
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
edited Nov 19 at 11:41
pedroth
345
asked Nov 12 at 10:07
LenaPark
83
edited Nov 19 at 11:41
pedroth
345
asked Nov 12 at 10:07
LenaPark
83
edited Nov 19 at 11:41
pedroth
345
edited Nov 19 at 11:41
pedroth
345
edited Nov 19 at 11:41
pedroth
345
345
asked Nov 12 at 10:07
LenaPark
83
asked Nov 12 at 10:07
LenaPark
83
asked Nov 12 at 10:07
LenaPark
83
83
add a comment |
add a comment |
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