Abstract
In this paper, it is shown that the use of real trigonometric transforms can advantageously replace the Fourier transform in optical communication systems, for both all-optical and electronic signal processing. All-optical discrete Hartley transform (DHT) and discrete Cosine transform (DCT) architectures for high-speed optical signal processing, filtering and data compression are given and compared to fiber Fourier processing. A trigonometric transform-based orthogonal frequency division multiplexing (OFDM) transmission system is also presented. The modulation/demodulation is performed by using the fast Hartley transform (FHT) algorithm. The simplified scheme and the real processing make it suitable for direct detection optical systems.
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