TY - GEN
T1 - Finite codelength analysis of the sequential waveform nulling receiver for M-ary PSK
AU - Tan, Si Hui
AU - Dutton, Zachary
AU - Nair, Ranjith
AU - Guha, Saikat
PY - 2015/9/28
Y1 - 2015/9/28
N2 - The conditions for a quantum measurement to discriminate a set of states with the minimum probability of error were specified by Yuen, Kennedy and Lax, and are often termed the YKL conditions [1]. Since light is quantum mechanical, the ultimate limit on minimum-error discrimination of an optical modulation constellation is determined by the YKL bound. Standard optical receivers (i.e., direct, homodyne or heterodyne detection) - even at their respective ideal operation limits - cannot achieve this performance. Recently, it was shown that a 'sequential waveform nulling' (SWN) receiver can, not only discriminate an arbitrary M-ary coherent-state (ideal laser-light) constellation asymptotically at the YKL bound in the high-power limit, but that it achieves a factor of 4 better in the asymptotic error-probability exponent compared with heterodyne detection - the only conventional optical receiver that can in principle be employed for detecting an arbitrary phase-and-amplitude modulated constellation [2]. The SWN receiver can be built with standard optical components; i.e., beamsplitters, local-oscillator lasers, delay loops and single-photon detectors. However on the other hand, in the high power regime, heterodyne detection is known to achieve a reliable communication rate that asymptotically approaches the Holevo capacity of a lossy-noisy optical channel (the ultimate limit to the classical capacity of a quantum channel) [3]. In fact, in the high power regime, heterodyne detection was also shown recently to achieve the optimal second-order coding rate, when using the optimal (Gaussian) input distribution [4]. In this paper, we show that when restricted to the M-ary phase-shift keying (PSK) ensemble, that the SWN receiver's superiority over heterodyne detection in its asymptotic error exponent of the demodulation error probability, translates to a slightly higher capacity and a pronouncedly higher finite blocklength reliable-communication rate. We also quantify, via a numerical calculation, the dependence of the SWN receiver's capacity on the order in which the PSK constellation points are nulled. Our results suggest that for short-latency PSK-modulated optical communication in the high spectral efficiency regime - for which heterodyne detection is the conventional receiver choice - that it may be beneficial to employ the SWN receiver, despite the widely-regarded capacity optimality of heterodyne detection in this operating regime.
AB - The conditions for a quantum measurement to discriminate a set of states with the minimum probability of error were specified by Yuen, Kennedy and Lax, and are often termed the YKL conditions [1]. Since light is quantum mechanical, the ultimate limit on minimum-error discrimination of an optical modulation constellation is determined by the YKL bound. Standard optical receivers (i.e., direct, homodyne or heterodyne detection) - even at their respective ideal operation limits - cannot achieve this performance. Recently, it was shown that a 'sequential waveform nulling' (SWN) receiver can, not only discriminate an arbitrary M-ary coherent-state (ideal laser-light) constellation asymptotically at the YKL bound in the high-power limit, but that it achieves a factor of 4 better in the asymptotic error-probability exponent compared with heterodyne detection - the only conventional optical receiver that can in principle be employed for detecting an arbitrary phase-and-amplitude modulated constellation [2]. The SWN receiver can be built with standard optical components; i.e., beamsplitters, local-oscillator lasers, delay loops and single-photon detectors. However on the other hand, in the high power regime, heterodyne detection is known to achieve a reliable communication rate that asymptotically approaches the Holevo capacity of a lossy-noisy optical channel (the ultimate limit to the classical capacity of a quantum channel) [3]. In fact, in the high power regime, heterodyne detection was also shown recently to achieve the optimal second-order coding rate, when using the optimal (Gaussian) input distribution [4]. In this paper, we show that when restricted to the M-ary phase-shift keying (PSK) ensemble, that the SWN receiver's superiority over heterodyne detection in its asymptotic error exponent of the demodulation error probability, translates to a slightly higher capacity and a pronouncedly higher finite blocklength reliable-communication rate. We also quantify, via a numerical calculation, the dependence of the SWN receiver's capacity on the order in which the PSK constellation points are nulled. Our results suggest that for short-latency PSK-modulated optical communication in the high spectral efficiency regime - for which heterodyne detection is the conventional receiver choice - that it may be beneficial to employ the SWN receiver, despite the widely-regarded capacity optimality of heterodyne detection in this operating regime.
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U2 - 10.1109/ISIT.2015.7282739
DO - 10.1109/ISIT.2015.7282739
M3 - Conference contribution
AN - SCOPUS:84969800779
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1665
EP - 1670
BT - Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - IEEE International Symposium on Information Theory, ISIT 2015
Y2 - 14 June 2015 through 19 June 2015
ER -