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We consider the problem of transmitting a source over an infinite-bandwidthadditive white Gaussian noise channel with unknown noise level under an inputenergy constraint. We construct a universal scheme that uses modulo-latticemodulation with multiple layers; for each layer, we employ either analog linearmodulation or analog pulse position modulation (PPM). We show that the designedscheme with linear layers requires less energy compared to existing solutionsto achieve the same quadratically increasing distortion profile with the noiselevel; replacing the linear layers with PPM layers offers an additionalimprovement.

Universal Joint Source-Channel Coding Under an Input Energy Constraint