Capacity-Achieving Distributions for the Discrete-Time Poisson Channel&amp;#x2014;Part II: Binary Inputs

Cao, Jihai; Hranilovic, Steve

doi:10.1109/tcomm.2013.112513.130143

Cited by 31 publications

(19 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Comparing the mean and variance [c.f. (16) and (17), respectively] of n s with the results given in (7)(8), it is seen that for T < τ << 1 λ , the finite-rate sampling essentially increases the equivalent dead time from τ to τ + T /2, while the sub-Poisson distribution can still well describe photon-counting process based on rising edge detection.…”

Section: Corollarymentioning

confidence: 73%

Characterization on Practical Photon Counting Receiver in Optical Scattering Communication

Zou

Gong

Wang

et al. 2019

IEEE Trans. Commun.

View full text Add to dashboard Cite

We characterize the practical photon-counting receiver in optical scattering communication with finite sampling rate and electrical noise. In the receiver side, the detected signal can be characterized as a series of pulses generated by photon-multiplier (PMT) detector and held by the pulse-holding circuits, which are then sampled by the analog-to-digit convertor (ADC) with finite sampling rate and counted by a rising-edge pulse detector. However, the finite small pulse width incurs the dead time effect that may lead to sub-Poisson distribution on the recorded pulses. We analyze first-order and second-order moments on the number of recorded pulses with finite sampling rate at the receiver side under two cases where the sampling period is shorter than or equal to the pulse width as well as longer than the pulse width.Moreover, we adopt the maximum likelihood (ML) detection. In order to simplify the analysis, we adopt binomial distribution approximation on the number of recorded pulses in each slot. A tractable holding time and decision threshold selection rule is provided aiming to maximize the minimal Kullback-Leibler (KL) distance between the two distributions. The performance of proposed sub-Poisson distribution and the binomial approximation are verified by the experimental results. The equivalent arrival rate and holding time predicted by the of sub-Poisson model and the associated proposed binomial distribution on finite sampling rate and the electrical noise are validated by the simulation results. The proposed the holding time and decision threshold selection rule performs close to the optimal one.

show abstract

Section: Corollarymentioning

confidence: 73%

Characterization on Practical Photon Counting Receiver in Optical Scattering Communication

Zou

Gong

Wang

et al. 2019

IEEE Trans. Commun.

View full text Add to dashboard Cite

show abstract

“…NLOS UV scattering communication has been extensively investigated from both theoretic and experimental perspectives recently, which can be characterized by Poisson channel. The capacities of continuous-time and discrete-time Poisson channel have been studied in [3], [4] and [5], [6], respectively. Moreover, the capacities of MISO and MIMO communication have been investigated in [7] and [8], respectively.…”

Section: Introductionsmentioning

confidence: 99%

A 1Mbps Real-Time NLOS UV Scattering Communication System With Receiver Diversity Over 1km

Wang

Gong

et al. 2018

IEEE Photonics J.

View full text Add to dashboard Cite

In the non-line of sight (NLOS) ultraviolet (UV) scattering communication, the received signals exhibit the characteristics of discrete photoelectrons due to the extremely large path loss. We design and demonstrate an NLOS UV scattering communication system in this work, where the receiver-side signal detection is designed based on a discrete-time Poisson channel model. In our system, a laser and multiple photomultiplier tubes are employed as the optical transmitter and detector, respectively. Furthermore, we design algorithms for pulse-counting, synchronization, channel estimation and LLR computation for hardware realization in FPGA board. Simulation results are provided to evaluate the proposed system design and specify the system key parameters. We perform field tests for real-time communication with the transmission range over 1km, where the system throughput reaches 1Mbps.

show abstract

“…. , p N ] with p i = 2 µ 1 −c i +µ 2 s i , where µ 1 and µ 2 are chosen such that p satisfies the constraints in (12). Then p uniquely solves (12).…”

Section: Entropy Maximizationmentioning

confidence: 99%

“…Note that the optimization problem defining F (λ) is of the form given in (12). Hence, according to Lemma 2.2, F (λ) has a unique optimizer q with components q j = 2 µ−λ j , where µ ∈ R needs to be chosen such that q ∈ ∆ M , i.e.,…”

Section: B Capacity Approximation Schemementioning

confidence: 99%

See 1 more Smart Citation

Efficient Approximation of Channel Capacities

Sutter

Esfahani

et al. 2015

IEEE Trans. Inform. Theory

View full text Add to dashboard Cite

We propose an iterative method for approximately computing the capacity of discrete memoryless channels, possibly under additional constraints on the input distribution. Based on duality of convex programming, we derive explicit upper and lower bounds for the capacity. The presented method requires $O(M^2 N \sqrt{\log N}/\varepsilon)$ to provide an estimate of the capacity to within $\varepsilon$, where $N$ and $M$ denote the input and output alphabet size; a single iteration has a complexity $O(M N)$. We also show how to approximately compute the capacity of memoryless channels having a bounded continuous input alphabet and a countable output alphabet under some mild assumptions on the decay rate of the channel's tail. It is shown that discrete-time Poisson channels fall into this problem class. As an example, we compute sharp upper and lower bounds for the capacity of a discrete-time Poisson channel with a peak-power input constraint.Comment: 32 pages, 3 figures, revised versio

show abstract

Capacity-Achieving Distributions for the Discrete-Time Poisson Channel—Part II: Binary Inputs

Cited by 31 publications

References 10 publications

Characterization on Practical Photon Counting Receiver in Optical Scattering Communication

Characterization on Practical Photon Counting Receiver in Optical Scattering Communication

A 1Mbps Real-Time NLOS UV Scattering Communication System With Receiver Diversity Over 1km

Efficient Approximation of Channel Capacities

Contact Info

Product

Resources

About