- #1
PaulPaul
- 2
- 0
Sorry, but I don't know where the topic about signal analysis should go..?
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I'm doing research about quantifying blood flow in the brain. Basically I need to know how to perform deconvolution (I think.)
I have two functions that describe the concentration of contrast solution:
f(t) = a(t-to)^b exp[ -(t-to)/c ]
g(t) = d(t-t1)^k exp[ -(t-t1)/m ]
where a,b,c,d,k,m,to, and t1 are known parameters (found by fitting the function to measurements.)
now say f = h * g (* - convolution)
How can I find h(t)? What type of result can I expect?
I have tried using the discrete Fourier transformation. But I often find h to be a peak followed by a small valley. I don't understand why this would be the deconvolution.
Please help. I'm stuck.
(http://s153.photobucket.com/albums/s235/s1020099/)
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I'm doing research about quantifying blood flow in the brain. Basically I need to know how to perform deconvolution (I think.)
I have two functions that describe the concentration of contrast solution:
f(t) = a(t-to)^b exp[ -(t-to)/c ]
g(t) = d(t-t1)^k exp[ -(t-t1)/m ]
where a,b,c,d,k,m,to, and t1 are known parameters (found by fitting the function to measurements.)
now say f = h * g (* - convolution)
How can I find h(t)? What type of result can I expect?
I have tried using the discrete Fourier transformation. But I often find h to be a peak followed by a small valley. I don't understand why this would be the deconvolution.
Please help. I'm stuck.
(http://s153.photobucket.com/albums/s235/s1020099/)