 If the M-D transform transfer function, ' = / for a particular class of inputs ' and a particular transform is known, the design approximation problem becomes simple and we then have to find the (M-P) dimensional LDE's, one for each P-tuple that help in approximating all the complex (M-P) dimensional transform transfer functions, ','.But as the multidimensional approximation theory for dimensions greater than 2 is not well developed, the (M-P) dimensional approximation maybe a problem.The input and output sequences of each (M-P) dimensional LDE are complex and are given by ',' and ',' respectively.