A general approach for eliminating higher order aliasings is developed by u
sing multiple interlaced samplings. The M-fold interlaced samplings can be
used to eliminate aliasing up to the M'th order by solving a set of simulta
neous linear equations involving an M x M Vandermonde matrix, thereby incre
asing the sampling rate by M times. The concept is demonstrated by consider
ing the case of Fresnel zone sampling and reconstruction. (C) 1999 Society
of Photo-Optical Instrumentation Engineers. [S0091-3286(99)00905-8].