Fast Fourier Transform

Solitons are waveforms that preserve their shape while propagating, as a result of a balance of dispersion and nonlinearity. Soliton-based data transmission schemes were investigated in the 1980s and showed promise as a way of overcoming the limitations imposed by dispersion of optical fibres. However, these approaches were later abandoned in favour of wavelength-division multiplexing schemes, which are easier to implement and offer improved scalability to higher data rates. Here we show that solitons could make a comeback in optical communications, not as a competitor but as a key element of massively parallel wavelength-division multiplexing. Instead of encoding data on the soliton pulse train itself, we use continuous-wave tones of the associated frequency comb as carriers for communication. Dissipative Kerr solitons (DKSs) (solitons that rely on a double balance of parametric gain and cavity loss, as well as dispersion and nonlinearity) are generated as continuously circulating pulses in an integrated silicon nitride microresonator via four-photon interactions mediated by the Kerr nonlinearity, leading to low-noise, spectrally smooth, broadband optical frequency combs. We use two interleaved DKS frequency combs to transmit a data stream of more than 50 terabits per second on 179 individual optical carriers that span the entire telecommunication C and L bands (centred around infrared telecommunication wavelengths of 1.55 micrometres). We also demonstrate coherent detection of a wavelength-division multiplexing data stream by using a pair of DKS frequency combs-one as a multi-wavelength light source at the transmitter and the other as the corresponding local oscillator at the receiver. This approach exploits the scalability of microresonator-based DKS frequency comb sources for massively parallel optical communications at both the transmitter and the receiver. Our results demonstrate the potential of these sources to replace the arrays of continuous-wave lasers that are currently used in high-speed communications. In combination with advanced spatial multiplexing schemes and highly integrated silicon photonic circuits, DKS frequency combs could bring chip-scale petabit-per-second transceivers into reach.

Microresonator-based solitons for massively parallel coherent optical communications

Optical frequency combs have the potential to revolutionize terabit communications1. Generation of Kerr combs in nonlinear microresonators2 represents a particularly promising option3 enabling line spacings of tens of GHz. However, such combs may exhibit strong phase noise4-6, which has made high-speed data transmission impossible up to now. Here we demonstrate that systematic adjustment of pump conditions for low phase noise4,7-9 enables coherent data transmission with advanced modulation formats that pose stringent requirements on the spectral purity of the comb. In a first experiment, we encode a data stream of 392 Gbit/s on a Kerr comb using quadrature phase shift keying (QPSK) and 16-state quadrature amplitude modulation (16QAM). A second experiment demonstrates feedback-stabilization of the comb and transmission of a 1.44 Tbit/s data stream over up to 300 km. The results show that Kerr combs meet the highly demanding requirements of coherent communications and thus offer an attractive solution towards chip-scale terabit/s transceivers.

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Coherent terabit communications with microresonator Kerr frequency combs.

The paper describes architectural enhancements to Xilinx FPGAs that provide better support for the creation of dynamically reconfigurable designs. These are augmented by a new design methodology that uses pre-routed IP cores for communication between static and dynamic modules and permits static designs to route through regions otherwise reserved for dynamic modules. A new CAD tool flow to automate the methodology is also presented. The new tools initially target the Virtex-II, Virtex-II Pro and Virtex-4 families and are derived from Xilinx's commercial CAD tools

Invited Paper: Enhanced Architectures, Design Methodologies and CAD Tools for Dynamic Reconfiguration of Xilinx FPGAs

Over the past decade, optical frequency combs generated by high-Q microresonators, or optical microcombs, which feature compact device footprints, low power consumption, and high repetition rates in broad optical bandwidths, have led to a revolution in a wide range of fields including metrology, telecommunications, radio frequency (RF) photonics, spectroscopy, sensing, and quantum optics. Among these, an application that has attracted great interest is the use of optical microcombs for RF photonics, where they offer enhanced functionalities as well as reduced size and power consumption over other approaches. This paper reviews the recent advances in this emerging field. We provide an overview of the main achievements that have been obtained to date, and highlight the strong potential of optical microcombs for RF photonics applications. We also discuss some of the open challenges and limitations that need to be addressed for practical applications.

RF Photonics: An Optical Microcombs’ Perspective

Measuring the quality of optical signals is one of the most important tasks in optical communications. A variety of metrics are available, namely the general shape of the eye diagram, the optical signal-to-noise power ratio (OSNR), the Q-factor as a measure of the eye opening, the error vector magnitude (EVM) that is especially suited for quadrature amplitude modulation (QAM) formats, and the bit error ratio (BER). While the BER is the most conclusive quality determinant, it is sometimes difficult to quantify, especially for simulations and off-line processing. We compare various metrics analytically, by simulation, and through experiments. We further discuss BER estimates derived from OSNR, Q-factor and EVM data and compare them to measurements employing six modulation formats at symbol rates of 20 GBd and 25 GBd, which were generated by a software-defined transmitter. We conclude that for optical channels with additive Gaussian noise the EVM metric is a reliable quality measure. For nondata-aided reception, BER below 0.01 can be estimated from measured EVM.

Quality metrics for optical signals: Eye diagram, Q-factor, OSNR, EVM and BER

We demonstrate single-laser 32.5 Tbit/s 16QAM Nyquist wavelength division multiplexing transmission over a total length of 227 km of SMF-28 without optical dispersion compensation. A number of 325 optical carriers is derived from a single laser and encoded with dual-polarization 16QAM data using sinc-shaped Nyquist pulses. As we use no guard bands, the carriers have a spacing of 12.5 GHz equal to the symbol rate or Nyquist bandwidth of the data. We achieve a net spectral efficiency of 6.4 bit/s/Hz using a software-defined transmitter, which generates the electric drive signals for the electro-optic modulator in real time.

Single-laser 32.5 Tbit/s Nyquist WDM transmission

Xilinx Virtex FPGAs offer the possibility of dynamic and partial run-time reconfiguration. If a system uses this feature the designer has to take care, that no signal lines cross the border to other reconfigurable regions. Traditional solutions connecting modules on a dynamic and partial reconfigurable system use TBUF elements for connection and separation of the functional blocks. While automatically placing and routing the design, the routing-tool sometimes uses signal lines which cross the module border. The constraints given by the designer are ignored. To solve this problem, we use slices instead of TBUF elements which leads to a benefit by using an automatic modular design flow. This paper gives an overview of the used techniques and the complete system on a Xilinx XC2V3000 FPGA.

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Real-time LUT-based network topologies for dynamic and partial FPGA self-reconfiguration

The power consumption of reconfigurable systems has become a fundamental aspect in designing applications. Especially for mobile systems with a limited power supply, it is necessary to identify and optimize the power loss. Moreover, it is essential to evaluate during application development time exact power trade-offs, especially including the consideration of the dynamic reconfiguration phases of corresponding devices, e.g. the Virtex-series from Xilinx. This paper discusses the exact power consumption trade-offs between the measured runtime consumption of a mapped application and the measured reconfiguration-time consumption of different dynamically (partially and completely) reconfigured applications. Moreover, the possibilities and limitations of today's available power estimation tools are discussed and compared to the exact measurements.

Power estimation and power measurement of Xilinx Virtex FPGAs: trade-offs and limitations

Facing the requirements of next generation applications, current approaches of embedded systems design will soon hit the limit where they may no longer perform efficiently. The unpredictable nature and diverse processing behavior of future applications requires to transgress the barrier of tailor-made, application-/domain-specific embedded system designs. As a consequence, next generation architectures for embedded systems have to react much more flexible to unforeseeable run-time scenarios. In this paper we present our innovative processor architecture concept KAHRISMA (KArlsruhe's Hypermorphic Reconfigurable-Instruction-Set Multi-grained-Array). It tightly integrates coarse- and fine-grained run-time reconfigurable fabrics that can incorporate to realize hardware acceleration for computationally complex algorithms. Furthermore, the fabrics can be combined to realize different Instruction Set Architectures that may execute in parallel. With the help of an encrypted H.264 en-/decoding case study we demonstrate that our novel KAHRISMA architecture will deliver the required flexibility to design future-proof embedded systems that are not limited to a certain computational domain.

Juergen Becker

Papers

Quality metrics for optical signals: Eye diagram, Q-factor, OSNR, EVM and BER

Single-laser 32.5 Tbit/s Nyquist WDM transmission

Real-time LUT-based network topologies for dynamic and partial FPGA self-reconfiguration

Power estimation and power measurement of Xilinx Virtex FPGAs: trade-offs and limitations

KAHRISMA: a novel hypermorphic reconfigurable-instruction-set multi-grained-array architecture