This is more of a imaging/physiological course but it uses convolutions and i can understand the applications, i just need help writing the matlab script to give meaningful answers.
The problem asks that we use matlab to convolute 2 functions:
x(t) = a*tb*exp(-ct)
where a=0.1 b=1.5 c=0.01
h(t) = dexp(-t/r)
where d = 0.1ml-1 and r = 60 min
There are units for x = micrograms/min. (this means d has to = 0.0001) x(t) is the absorption rate and h(t) is the impulse response function. y(t) would equal the concentration.
The idea is to plot y(t) using the matlab conv function for x(t) and h(t).
Im not sure what goes here ive given most of the information above.
The Attempt at a Solution
I am not very good with matlab but what i did was create a time vector using the linspace fucntion. Heres the script
t = linspace(0,10,100); a = 0.1; b=1.5; c=0.01; alpha=0.1; tao=60; x=a.*t.^b.*exp(-c.*t); h=alpha.*exp(-t./tao); y=conv(x,t); plot(y)
Thanks for the help!