We extend a recently proposed wiretap coding scheme to the Gaussian wiretap channel and show that it is semantically-secure. Denoting by SNR the signal-to-noise ratio of the eavesdropper’s channel, the proposed scheme converts a transmission code of rate R for the channel of the legitimate receiver into a code of rate R− 0.5 log(1 + SNR) for the Gaussian wiretap channel. The conversion has a po...

The random coding capacity of a vector Gaussian arbitrarily varying channel (VGAVC) is determined, along with a simple general method for computing this capacity. The VGAVC is a discrete-time memoryless vector channel with an input power constraint and additive Gaussian noise that is further corrupted by an additive “jamming signal.” The statistics of this jamming signal are unknown and may be ...

We correct an alleged contradiction to Gallager’s capacity theorem for waveform channels as presented in a poster at the 2012 IEEE International Symposium on Information Theory. 1 Brief Description of the Poster [2] Gallager’s capacity theorem [1, Theorem 8.5.1] is literally reproduced on p. 1 of the poster along with the figure [1, Figure 8.5.1] plus some explanations taken from Gallager’s boo...

This paper studies the transceiver design of the Gaussian two-pair two-way relay channel (TWRC), where two pairs of users exchange information through a common relay in a pairwise manner. Our main contribution is to show that the capacity of the Gaussian two-pair TWRC is achievable to within 1 2 bit for arbitrary channel conditions. In the proof, we develop a hybrid coding scheme involving Gaus...

In this paper, a kind of impulse radio (IR) 60 GHz pulse based on Prolate Spheroidal Wave Functions (PSWF) is proposed. The capacity and performance for multiple access 60 GHz communication system based on carrier pulse and impulse radio pulse are analyzed separately. Both frequency-shifted Gaussian pulse and Prolate Spheroidal Wave Functions (PSWF) pulse are considered and devised according to...

Although feedback does not increase capacity of an additive white noise Gaussian channel, it enables prediction of the noise for non-white additive Gaussian noise channels and results in an improvement of capacity, but at most by a factor of 2 (Pinsker, Ebert, Pombra, and Cover). Although the capacity of white noise channels cannot be increased by feedback, multiple access white noise channels ...

We investigate the ergodic secrecy capacity of a Multiple-Input Multiple-Output (MIMO) wire-tap channel, where the instantaneous Channel State Information (CSI) is available at both the legitimate receiver and the eavesdropper, but not at the source. We derive the perfectsecrecy capacity under a general ergodic fading process (with a continuous probability density function) and show that a circ...

The channel capacity theorem for additive white Gaussian noise channel (AWGN), widely known as the ShannonHartley Law, expresses the information capacity of a channel bandlimited in the conventional Fourier domain in terms of the signal-to-noise ratio in it. In this letter generalized versions of the Shannon-Hartley Law using the linear canonical transform (LCT) are presented. The channel capac...

We determine the ultimate classical information capacity of a linear time-invariant bosonic channel with additive phase-insensitive Gaussian noise. This channel can model fiber-optic communication at power levels below the threshold for significant nonlinear effects. We provide a general continuous-time result that gives the ultimate capacity for such a channel operating in the quasimonochromat...

In this letter, we show how to compute optimal constellations which maximize the capacity of M -PAM input AWGN (MIAWGN) channels with non-equiprobable symbols. We find for binary signaling that the optimal constellations, which minimize the bit error rate, will also maximize the capacity. The rate capacity of MIAWGN channels with non-equiprobable symbols and optimal constellations approaches to...