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Autocorrelation Function for Dispersion-Free Fiber Channels with\n Distributed Amplification

2017/05/01 by Gerhard Kramer, Kramer, Gerhard
Engineering · #Advanced Photonic Communication Systems #FOS: Computer and information sciences #Information Theory (cs.IT) #Optical Network Technologies #Semiconductor Lasers and Optical Devices

paper · pdf · doi:10.48550/arxiv.1705.00454

openalex publication_date 2017/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Optical fiber signals with high power exhibit spectral broadening that seems\nto limit capacity. To study spectral broadening, the autocorrelation function\nof the output signal given the input signal is derived for a simplified fiber\nmodel that has zero dispersion, distributed optical amplification (OA), and\nidealized spatial noise processes. The autocorrelation function is used to\nupper bound the output power of bandlimited or time-resolution limited\nreceivers, and thereby to bound spectral broadening and the capacity of\nreceivers with thermal noise. The output power scales at most as the\nsquare-root of the launch power, and thus capacity scales at most as one-half\nthe logarithm of the launch power. The propagating signal bandwidth scales at\nleast as the square-root of the launch power. However, in practice the OA\nbandwidth should exceed the signal bandwidth to compensate attenuation. Hence,\nthere is a launch power threshold beyond which the fiber model loses practical\nrelevance. Nevertheless, for the mathematical model an upper bound on capacity\nis developed when the OA bandwidth scales as the square-root of the launch\npower, in which case capacity scales at most as the inverse fourth root of the\nlaunch power.\n

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