A new imaging operator has been developed for acoustical imaging using
a 2ch m-sequence encoding array transducer. The new imaging operator
has the ability to correct the poor orthogonal property of a transfer
matrix. Moreover, images with many image points have been reconstructe
d by the new imaging operator. The new imaging operator has been compo
sed on he basis of the singular-value decomposition (SVD) of the trans
fer matrix in the frequency domain. Characteristics of the new imaging
operator are discussed by simulating the two-dimensional point spread
functions (2-D PSFs). An image with a high dynamic value was obtained
for a single object on the sampling image points by the method. Moreo
ver, the method was able to reconstruct the image of the existing obje
ct outside the sampling image points.