Hello,

I have studied a couple of articles related to millimeter wave image reconstruction using compressive sensing techniques. one of them is available in the following link:

1.5D Sparse Array for Millimeter-Wave Imaging Based on Compressive Sensing Techniques | Request PDF (researchgate.net)

I have accomplished field measurements in EDITFEKO software. these data contain electrical field real and imaginary value in the cartesian coordinate system. So, we are facing 6 numbers at each receiver position resulted from each transmitter at a particular frequency, i.e.

Ex = real(Ex) + j*img(Ex)

Ey = real(Ey) + j*img(Ey)

Ez = real(Ez) + j*img(Ez)

But when I see the equation for implementation of this algorithm:

S = Af + n

where "n", "f" and "S" are noise, image reflectivity and field measurements, respectively. right side of above equation is a vector matrix. So, definitely left side of that equation must necessarily be at most a complex-number vector which is a kind of paradox with already obtained electrical field (Ex , Ey , Ez) which is a 3-column matrix.

can you please help me what is my problem, whether it is misunderstanding or anything else?

I would be appreciative of your answer.

thank you