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Certain vector sequences in Hermitian or in Hilbert spaces, can be orthogonalized by a Fourier transf'orm. In the Anite-dimensional case, the discrete Fourier transform OFT) accomplishes the orthogonalization. The property of a vector sequence which allows the orthogonalization of the sequence by the DFT, called circular stationarity (CS), is discusped inthis paper. Applying the DFT to a given CS vector sequence results in an orthogonal vector sequence, which has the same span as the originaldoi:10.1109/78.403337 fatcat:pp3tslx32vgqzc7apni5sqoeyi