2-D HARTLEY TRANSFORMS

Two different versions of kernels associated with the 2-D Hartley tran sforms are investigated in relation to their Fourier counterparts. Thi s newly emerging tool for digital signal processing is an alternate me ans of analyzing a given function in terms of sinusoids and is an offs hoot of Fourier transform. Being a real-valued function and fully equi valent to the Fourier transform, the Hartley transform is more efficie nt and economical than its progenitor. Hartley and Fourier pairs of co mplete orthogonal transforms comprise mathematical twins having defini te physical significance. The direct and inverse Hartley transforms po ssess the same kernel, unlike the Fourier transform, and hence have th e dual distinction of being both self reciprocal and having the conven ient property of occupying the real domain. Some of the properties of the Hartley transform differ marginally from those of the Fourier tran sform.