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A DECOMPOSITION FOR THE TILTED CHANNEL OF THE FAST FADING CHANNELS

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Thesis Type: Postgraduate

Institution Of The Thesis: Middle East Technical University, Graduate School of Natural and Applied Sciences, Graduate School of Natural and Applied Sciences, Turkey

Approval Date: 2022

Thesis Language: English

Student: MÜCAHİT FURKAN YILDIZ

Supervisor: Barış Nakiboğlu

Abstract:

A decomposition property for the tilted channel of the fast fading channels with the channel state information at the receiver is proposed. A necessary and sufficient condition for the decomposition and the resulting expressions for the sphere packing exponent and the random coding exponent are determined. These expressions are used to calculate the error exponents for the discrete memoryless channels with certain symmetries. The existence of a similar decomposition property for Gaussian channels under Gaussian input distributions is analyzed.