ABSTRACT
Both the local trigonometric and the conjugate quadrature filter algorithms extend to multidimensional signals. We consider three methods of extension. The first two consist of tensor products of one-dimensional basis elements, combined so that the ddimensional basis function is really the product of d one-dimensional basis functions: b(x) = b ( x i , , x j ) = b\(xi) ■ ■ -bd(xd). Such tensor product basis elements are called separable because we can factor them across sums and integrals, to obtain a sequence o f d one-dimensional problems by treating each variable separately.
