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We studied the efficiency of different implementations of the split-step Fourier method for solving the nonlinear Schrödinger equation that employ different step size selection criteria. We compared the performance of the different implementations for a variety of pulse formats and systems including higher-order solitons, collisions of soliton pulses, a… (More)

- John W. Zweck, Lance R. Williams
- Journal of Mathematical Imaging and Vision
- 2000

We describe a method for computing the likelihood that a completion joining two contour fragments passes through any given position and orientation in the image plane. Like computations in primary visual cortex (and unlike all previous models of contour completion), the output of our computation is invariant under rotations and translations of the input… (More)

- Ronald Holzlöhner, Amitkumar Mahadevan, Curtis R. Menyuk, Joel M. Morris, John W. Zweck
- IEEE Communications Letters
- 2005

We evaluate the error-correcting performance of a low-density parity-check (LDPC) code in an AWGN channel using a novel dual adaptive importance sampling (DAIS) technique based on multicanonical Monte Carlo (MMC) simulations, that allows us to calculate bit error rates as low as 10−19 for a (96, 50) LDPC code without a priori knowledge of how to bias. Our… (More)

We extend the noise covariance matrix method to dense wavelength-division-multiplexed (DWDM) systems in order to efficiently and accurately compute the probability density function of the received voltage in the central channel of a DWDM 10-Gb/s chirped return-to-zero transmission system with a channel spacing of 50 GHz and a transmission distance of 6120… (More)

The authors have derived a receiver model that provides an explicit relationship between the factor and the optical signal-to-noise ratio (OSNR) in optical fiber communication systems for arbitrary pulse shapes, realistic receiver filters, and arbitrarily polarized noise. It is shown how the system performance depends on both the degree of polarization of… (More)

- Lance R. Williams, John W. Zweck
- Biological Cybernetics
- 2001

We describe a neural network that enhances and completes salient closed contours in images. Our work is different from all previous work in three important ways. First, like the input provided to primary visual cortex (V1) by the lateral geniculate nucleus (LGN), the input to our computation is isotropic. That is, it is composed of spots, not edges.… (More)

- Hai Xu, John Zweck, Li Yan, Gary M. Carter
- 2003

Using a recirculating loop, we measured nonlinearly induced timing jitter in a terrestrial wavelength-division-multiplexed system at different transmission distances with different amounts of precompensation. Within each 600-GHz subband, we achieved error-free transmission using the same amount of precompensation for all channels at all distances up to 5000… (More)

- John Zweck, Curtis R Menyuk
- Optics letters
- 2002

We study four-wave mixing between pulses in two subchannels of a quasi-linear 40-Gbit/s subchannel-multiplexed system. For a pseudorandom bit string there are resonances in the mean of the ghost pulse energy and in the jitter of the energy in the marks as functions of the subchannel frequency spacing. However, away from these resonances the effect of… (More)

- Oleg V Sinkin, Vladimir S Grigoryan, John Zweck, Curtis R Menyuk, Andrew Docherty, Mark Ablowitz
- Optics letters
- 2005

We calculate the time shift function for collisions of pairs of pulses in different channels in a prototypical return-to-zero wavelength-division-multiplexed system with dispersion management and precompensation and postcompensation. Once the time shift function is known, the impairments that are due to collision-induced timing jitter can be rapidly… (More)

We analyze the accuracy of a simple approach for calculating the BER in WDMRZ systems, where the principal nonlinear impairment is collision-induced timing jitter. This approach produces BERs that are accurate to within one order of magnitude. c © 2006 Optical Society of America OCIS codes: 060.2330, 060.4370