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" Clements and Pease(1989) have shown that causal IIR can also have Fourier transform with generalized linear phase. The corresponding system functions, however, are not rational and thus, the system cannot be implemented with difference equations. "
Clements, M.A., and Pease, J., "On Causal Linear Phase IIR Digital Filters," IEEE Trans. Acoustics, Speech, and Signal Processing, Vol. ASSP-3, pp.479-484, April 1989