On the Capacity of Faster Than Nyquist Signaling
Mehdi Ganji, Xun Zou, Hamid Jafarkhani
Abstract
This letter considers the capacity computations of faster-than-Nyquist (FTN) signaling. It calculates the theoretical capacity of FTN signaling which is obtained by a correlated input. The capacity-achieving power spectral density (PSD) is derived and its superiority over the independent input is shown. The practical issue imposed by the capacity-achieving PSD, i.e., out-of-band (OOB) emission, is shown. To solve this issue, an upper-bound is introduced for the input PSD to limit the OOB emission. The new optimization problem is solved and the constrained PSD is obtained. The introduced PSD captures the trade-off between the obtained capacity and the OOB emission.
Topics & Concepts
Nyquist stability criterionNyquist–Shannon sampling theoremLimit (mathematics)Nyquist frequencyComputationComputer scienceSpectral densityOut-of-band managementUpper and lower boundsPower (physics)Spectral efficiencyTopology (electrical circuits)TelecommunicationsMathematical optimizationMathematicsControl theory (sociology)AlgorithmPhysicsComputer networkMathematical analysisStatisticsBandwidth (computing)CombinatoricsBeamformingNetwork management stationQuantum mechanicsComputer visionControl (management)Network architectureArtificial intelligenceParametric statisticsPAPR reduction in OFDMAdvanced Power Amplifier DesignPower Line Communications and Noise