Abstract
In this paper, we investigate the information-theoretic secrecy performance of recent precoded faster-than-Nyquist signaling (FTN) with the aid of optimal power allocation in eigenspace. More specifically, the secrecy rate and secrecy outage probability of a fading wiretap channel, which was derived for classical Nyquist-based orthogonal signaling transmission, is extended to those of our eigendecompsition-based FTN (E-FTN) signaling for a quasi-static frequency-flat Rayleigh fading channel. Our performance results demonstrate that the proposed E-FTN signaling scheme exhibits improvements in secrecy rate and secrecy outage probability over conventional Nyquist-based and FTN signaling transmission, assuming employment of a root-raised cosine filter. We also show that the same benefits as those of single-carrier E-FTN signaling are attainable by its non-orthogonal multicarrier counterpart, where subcarrier spacing is set lower than that of orthogonal frequency-division multiplexing.
Highlights
P HYSICAL-layer security has potential advantages over classical cryptography implemented in upper layers [1,2,3,4,5]
We formulate the mutual information of the main and wiretap channels in the proposed E-faster-thanNyquist signaling (FTN) signaling and eigendecomposition-based non-orthogonal frequency-division multiplexing (E-NOFDM) schemes, which were introduced in Section II and Section III, respectively
I.e., in the packing ratio range of τ < 1/(1 + β), there may be significantly low eigenvalues, which imposes calculation precision higher than that attainable by the standard doubleprecision environment [40]. Such a low τ scenario tends to induce unavoidable inter-block interference (IBI), which is an open issue. It was shown in [33] that the eigendecomposition-based FTN (E-FTN) signaling scheme with optimal power allocation does not suffer from the effects of spectral broadening at least in the range of 1/(1 + β) ≤ τ ≤ 1
Summary
P HYSICAL-layer security has potential advantages over classical cryptography implemented in upper layers [1,2,3,4,5]. In [31], a shaping filter employed at an FTN transmitter was hopped in time to interfere with the signal reception of the eavesdropper, where the secrecy performance was investigated under the assumption that the hopped filter coefficients are unknown at the eavesdropper. We derive the secrecy rate and the secrecy outage probability for a quasi-static frequency-flat Rayleigh fading channel, as an extension of that of classical Nyquist-criterion-based orthogonal signaling. We consider the wireless system portrayed, where a transmitter (Alice) sends messages to a legitimate receiver (Bob) through a fading channel, while a single eavesdropper (Eve) intercepts the messages through another independent fading channel We assume that both the channel of the legitimate receiver and that of the eavesdropper experience quasi-static frequency-flat independent Rayleigh fading.
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