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Multiple vector sums

Multiple vector sums

Multiple vector sums

I am using Mathcad 2000 to analyze a synthetic aperture antenna problem. I can't find a way to itterate through multiple vector sums corresponding to different input parameters relating to direction.

I am using a 4001 point array with each point corresponding to a point along the X axis. The amplitude of a response is related to delays invloved from each of the 4001 points.  I first asign,
j:=0..4000,  then from the X[js, I calculate a vector corresponding to the delays relating to each X[j.  The resulting 4001 point array contains complex numbers. The vector sum of these values is a complex scaler representative of the amplitude for one point on the synthetic aperture antenna pattern.  I need to calculate and plot about 50 points corresopnding to different directions from the center of the antenna.  I have tried to asigning a second range variable k:=0.. 49 and get mathcad to itterate throughthe 50 points and thus calculate the vector sums for 50, 4001 point vectors. I have been unable to find a way to do this, so I have input each values of k manually and recorded the results for the 50 points. I know there is a better way,but I cant get a handle on it. I am likely to have to do more of this type calculation and the manual itteration takes a lot of time.

I will appreciate any help. CLcrom      

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