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Showing papers on "Phase noise published in 2008"


Journal ArticleDOI
TL;DR: The receiver-based digital signal processing to mitigate self-phase-modulation (SPM) and Gordon-Mollenauer phase noise, which is equivalent to the midspan phase conjugation is shown.
Abstract: Coherent optical OFDM (CO-OFDM) has recently been proposed and the proof-of-concept transmission experiments have shown its extreme robustness against chromatic dispersion and polarization mode dispersion. In this paper, we first review the theoretical fundamentals for CO-OFDM and its channel model in a 2x2 MIMO-OFDM representation. We then present various design choices for CO-OFDM systems and perform the nonlinearity analysis for RF-to-optical up-converter. We also show the receiver-based digital signal processing to mitigate self-phase-modulation (SPM) and Gordon-Mollenauer phase noise, which is equivalent to the midspan phase conjugation.

719 citations


Journal ArticleDOI
TL;DR: The analysis of phase noise is extended to encompass a general harmonic oscillator, showing that all phase noise relations previously obtained for specific LC oscillator topologies are special cases of a very general and remarkably simple result.
Abstract: A harmonic oscillator topology displaying an improved phase noise performance is introduced in this paper. Exploiting the advantages yielded by operating the core transistors in class-C, a theoretical 3.9 dB phase noise improvement compared to the standard differential-pair LC-tank oscillator is achieved for the same current consumption. Further benefits derive from the natural rejection of the tail bias current noise, and from the absence of parasitic nodes sensitive to stray capacitances. Closed-form phase-noise equations obtained from a rigorous time-variant circuit analysis are presented, as well as a time-variant study of the stability of the oscillation amplitude, resulting in simple guidelines for a reliable design. Furthermore, the analysis of phase noise is extended to encompass a general harmonic oscillator, showing that all phase noise relations previously obtained for specific LC oscillator topologies are special cases of a very general and remarkably simple result.

438 citations


Book
08 Dec 2008
TL;DR: Noise in delay-line oscillators and lasers, phase noise and frequency stability, and Oscillator hacking A Laplace transform.
Abstract: Foreword Lute Maleki Foreword David B. Leeson Preface List of symbols 1. Phase noise and frequency stability 2. Phase noise in semiconductors and amplifiers 3. Heuristic approach to the Leeson effect 4. Phase noise and linear feedback theory 5. Noise in delay-line oscillators and lasers 6. Oscillator hacking A Laplace transform Bibliography.

406 citations


Journal ArticleDOI
Sander L. Jansen, Itsuro Morita, T.C.W. Schenk1, N. Takeda, Hideaki Tanaka 
01 Jan 2008
TL;DR: In this paper, the authors discuss coherent optical orthogonal frequency division multiplexing (CO-OFDM) as a suitable modulation technique for long-haul transmission systems and especially focus on phase noise compensation.
Abstract: We discuss coherent optical orthogonal frequency division multiplexing (CO-OFDM) as a suitable modulation technique for long-haul transmission systems. Several design and implementation aspects of a CO-OFDM system are reviewed, but we especially focus on phase noise compensation. As conventional CO-OFDM transmission systems are very sensitive to laser phase noise a novel method to compensate for phase noise is introduced. With the help of this phase noise compensation method we show continuously detectable OFDM transmission at 25.8 Gb/s data rate (20 Gb/s after coding) over 4160-km SSMF without dispersion compensation.

379 citations


Journal ArticleDOI
TL;DR: The use of VCO-based quantization within continuous-time (CT) SigmaDelta analog-to-digital converter (ADC) structures is explored, with a custom prototype in 0.13 mum CMOS showing measured performance of 86/72 dB SNR/SNDR with 10 MHz bandwidth.
Abstract: The use of VCO-based quantization within continuous-time (CT) SigmaDelta analog-to-digital converter (ADC) structures is explored, with a custom prototype in 0.13 mum CMOS showing measured performance of 86/72 dB SNR/SNDR with 10 MHz bandwidth while consuming 40 mW from a 1.2 V supply and occupying an active area of 640 mum times 660 mum. A key element of the ADC structure is a 5-bit VCO-based quantizer clocked at 950 MHz which achieves first-order noise shaping of its quantization noise. The quantizer structure allows the second-order CT SigmaDelta ADC topology to achieve third-order noise shaping, and direct connection of the VCO-based quantizer to the internal DACs of the ADC provides intrinsic dynamic element matching of the DAC elements.

350 citations


Journal ArticleDOI
TL;DR: In this paper, theoretical predictions and experimental measurements for the achievable phase noise, timing jitter, and frequency stability in the coherent transport of an optical frequency over a fiber-optic link are discussed.
Abstract: We present theoretical predictions and experimental measurements for the achievable phase noise, timing jitter, and frequency stability in the coherent transport of an optical frequency over a fiber-optic link. Both technical and fundamental limitations to the coherent transfer are discussed. Measurements of the coherent transfer of an optical carrier over links ranging from 38 to 251 km demonstrate good agreement with theory. With appropriate experimental design and bidirectional transfer on a single optical fiber, the frequency instability at short times can reach the fundamental limit imposed by delay-unsuppressed phase noise from the fiber link, yielding a frequency instability that scales as link length to the 3/2 power. For two-way transfer on separate outgoing and return fibers, the instability is severely limited by differential fiber noise.

330 citations


Journal ArticleDOI
TL;DR: A 3.6-GHz digital fractional-N frequency synthesizer achieving low noise and 500-kHz bandwidth is presented, which uses a gated-ring-oscillator time-to-digital converter to achieve integrated phase noise of less than 300 fs.
Abstract: A 3.6-GHz digital fractional-N frequency synthesizer achieving low noise and 500-kHz bandwidth is presented. This architecture uses a gated-ring-oscillator time-to-digital converter (TDC) with 6-ps raw resolution and first-order shaping of its quantization noise along with digital quantization noise cancellation to achieve integrated phase noise of less than 300 fs (1 kHz to 40 MHz). The synthesizer includes two 10-bit 50-MHz passive digital-to-analog converters for digital control of the oscillator and an asynchronous frequency divider that avoids divide-value delay variation at its output. Implemented in a 0.13-mum CMOS process, the prototype occupies 0.95-mm2 active area and dissipates 39 mW for the core parts with another 8 mW for the oscillator output buffer. Measured phase noise at 3.67 GHz carrier frequency is -108 and -150 dBc/Hz at 400 kHz and 20 MHz offset, respectively.

325 citations


Journal ArticleDOI
TL;DR: An autonomous and self-sustaining nanoelectromechanical oscillator that generates continuous ultrahigh-frequency signals when powered by a steady d.c. sources and exhibits excellent frequency stability, linewidth narrowing and low phase noise performance.
Abstract: Sensors based on nanoelectromechanical systems vibrating at high and ultrahigh frequencies are capable of levels of performance that surpass those of larger sensors. Nanoelectromechanical devices have achieved unprecedented sensitivity in the detection of displacement, mass, force and charge. To date, these milestones have been achieved with passive devices that require external periodic or impulsive stimuli to excite them into resonance. Here, we demonstrate an autonomous and self-sustaining nanoelectromechanical oscillator that generates continuous ultrahigh-frequency signals when powered by a steady d.c. source. The frequency-determining element in the oscillator is a 428 MHz nanoelectromechanical resonator that is embedded within a tunable electrical feedback network to generate active and stable self-oscillation. Our prototype nanoelectromechanical oscillator exhibits excellent frequency stability, linewidth narrowing and low phase noise performance. Such ultrahigh-frequency oscillators provide a comparatively simple means for implementing a wide variety of practical sensing applications. They also offer intriguing opportunities for nanomechanical frequency control, timing and synchronization.

313 citations


Journal ArticleDOI
TL;DR: In this article, a detailed analysis of the most relevant sources of phase noise in an atomic interferometer is carried out, both theoretically and experimentally, and a simple and robust technique of vibration compensation is described, which is based on correcting the inter-ferometer signal by using the ac acceleration signal measured by a low-noise seismometer.
Abstract: A detailed analysis of the most relevant sources of phase noise in an atomic interferometer is carried out, both theoretically and experimentally. Even a short interrogation time of 100 ms allows our cold atom gravimeter to reach an excellent short term sensitivity to acceleration of 1.4×10-8g at 1 s. This result relies on the combination of a low phase noise laser system, efficient detection scheme and good shielding from vibrations. In particular, we describe a simple and robust technique of vibration compensation, which is based on correcting the interferometer signal by using the ac acceleration signal measured by a low noise seismometer.

245 citations


Proceedings ArticleDOI
23 May 2008
TL;DR: In this article, the laser linewidth requirements for optical systems with homodyne detection and feed forward digital phase estimation are determined by extensive Monte Carlo simulations, and shown to be a stringent limitation for high-order modulation formats.
Abstract: Laser linewidth requirements for optical systems with homodyne detection and feed forward digital phase estimation are determined by extensive Monte Carlo simulations, and shown to be a stringent limitation for high-order modulation formats.

236 citations


Proceedings ArticleDOI
01 Feb 2008
TL;DR: A digital fractional-N frequency synthesizer is presented that leverages a noise-shaping time-to-digital converter (TDC) and a simple quantization noise cancellation technique to achieve low phase noise with a wide PLL bandwidth of 500kHz.
Abstract: A digital fractional-N frequency synthesizer is presented that leverages a noise-shaping time-to-digital converter (TDC) and a simple quantization noise cancellation technique to achieve low phase noise with a wide PLL bandwidth of 500kHz. In contrast to previous cancellation techniques, this structure requires no analog components and is straightforward to implement with standard-cell digital logic.

Journal ArticleDOI
TL;DR: In this paper, a detailed analysis of the most relevant sources of phase noise in an atomic interferometer is carried out, both theoretically and experimentally, and a simple and robust technique of vibration compensation is described, which is based on correcting the inter-ferometer signal by using the AC acceleration signal measured by a low-noise seismometer.
Abstract: A detailed analysis of the most relevant sources of phase noise in an atomic interferometer is carried out, both theoretically and experimentally. Even a short interrogation time of 100 ms allows our cold atom gravimeter to reach an excellent short term sensitivity to acceleration of $1.4\times 10^{-8}$g at 1s. This result relies on the combination of a low phase noise laser system, efficient detection scheme and good shielding from vibrations. In particular, we describe a simple and robust technique of vibration compensation, which is based on correcting the interferometer signal by using the AC acceleration signal measured by a low noise seismometer.

Journal ArticleDOI
TL;DR: An all static CMOS ADPLL fabricated in 65 nm digital CMOS SOI technology has a fully programmable PID loop filter and features a third order delta sigma modulator as discussed by the authors.
Abstract: An all static CMOS ADPLL fabricated in 65 nm digital CMOS SOI technology has a fully programmable proportional-integral-differential (PID) loop filter and features a third order delta sigma modulator. The DCO is a three stage, static inverter based ring oscillator programmable in 768 frequency steps. The ADPLL lock range is 500 MHz to 8 GHz at 1.3 V and 25degC, and 90 MHz to 1.2 GHz at 0.5 V and 100degC. The IC dissipates 8 mW/GHz at 1.2 V and 1.6 mW/GHz at 0.5 V. The synthesized 4 GHz clock has a period jitter of 0.7 ps rms, and long term jitter of 6 ps rms. The phase noise under nominal operating conditions is 112 dBc/Hz measured at a 10 MHz offset from a 4 GHz center frequency. The total circuit area is 200 mum 150 mum.

Journal ArticleDOI
TL;DR: In this article, a transmission model for coherent optical orthogonal frequency division multiplexing (CO-OFDM) systems with high-order quadrature amplitude modulation (QAM) constellations is presented.
Abstract: There are three major advantages for coherent optical orthogonal frequency-division multiplexing (CO-OFDM) transmission using digital signal processing. First, coherent detection is realized by digital phase estimation without the need for optical phase-locked loop. Second, OFDM modulation and demodulation are realized by the well-established computation-efficient fast Fourier transform (FFT) and inverse FFT. Third, adaptive data rates can be supported as different quadrature amplitude modulation (QAM) constellations are software-defined, without any hardware change in transmitter and receiver. However, it is well-known that coherent detection, OFDM, and QAM are all susceptible to phase noise. In this paper, theoretical, numerical, and experimental investigations are carried out for phase noise effects on high spectral efficiency CO-OFDM transmission. A transmission model in the presence of phase noise is presented. By using simulation, the bit error rate floors from finite laser linewidth are presented for CO-OFDM systems with high-order QAM constellations. In the experiments, the phase noise effects from both laser linewidth and nonlinear fiber transmission are investigated. The fiber nonlinearity mitigation based on receiver digital signal processing is also discussed.

Journal ArticleDOI
TL;DR: Equalization-enhanced phase noise (EEPN) imposes a tighter constraint on the receive laser phase noise for transmission systems with high symbol rate and large electronically-compensated chromatic dispersion.
Abstract: In coherent optical systems employing electronic digital signal processing, the fiber chromatic dispersion can be gracefully compensated in electronic domain without resorting to optical techniques. Unlike optical dispersion compensator, the electronic equalizer enhances the impairments from the laser phase noise. This equalization-enhanced phase noise (EEPN) imposes a tighter constraint on the receive laser phase noise for transmission systems with high symbol rate and large electronically-compensated chromatic dispersion.

Journal ArticleDOI
TL;DR: An analysis of the sensitivity of a time-domain atomic interferometer to the phase noise of the lasers used to manipulate the atomic wave packets and the performance that could be obtained with state-of-the-art quartz oscillators, as well as the impact of the residual phase Noise of the phase-locked loop.
Abstract: We present here an analysis of the sensitivity of a time-domain atomic interferometer to the phase noise of the lasers used to manipulate the atomic wave packets. The sensitivity function is calculated in the case of a three-pulse Mach-Zehnder interferometer, which is the configuration of the two inertial sensors we are building at the Laboratoire National de Metrologie et d'Essais-Systeme de References Temps-Espace. We successfully compare this calculation to experimental measurements. The sensitivity of the interferometer is limited by the phase noise of the lasers as well as by residual vibrations. We evaluate the performance that could be obtained with state-of-the-art quartz oscillators, as well as the impact of the residual phase noise of the phase-locked loop. Requirements on the level of vibrations are derived from the same formalism.

Journal ArticleDOI
TL;DR: The developed theory, when applied to a spin-torque auto-oscillator, gives a good description of experimentally measured angular and temperature dependences of the linewidth.
Abstract: It is shown that the generation linewidth of an auto-oscillator with a nonlinear frequency shift (i.e., an auto-oscillator in which frequency depends on the oscillation amplitude) is substantially larger than the linewidth of a conventional quasilinear auto-oscillator due to the renormalization of the phase noise caused by the nonlinearity of the oscillation frequency. The developed theory, when applied to a spin-torque auto-oscillator, gives a good description of experimentally measured angular and temperature dependences of the linewidth.

Journal ArticleDOI
TL;DR: In this paper, the authors analyzed theoretically and experimentally the linewidth of the first harmonic of the photocurrent (radio-frequency (RF) linwidth) in monolithic passively mode-locked semiconductor lasers.
Abstract: We have analyzed theoretically and experimentally the linewidth of the first harmonic of the photocurrent (radio-frequency (RF) linewidth) in monolithic passively mode-locked semiconductor lasers. Due to the absence of restoring force, the timing jitter is directly related to the RF linewidth, avoiding possible underestimations made with conventional methods of phase noise measurement. The RF linewidth is also analytically related to the pulse characteristics using Haus's model. The timing stability performance of a promising two-section quantum-dot laser is presented using RF linewidth measurements. Experimental evolution of the RF linewidth with power and pulsewidth is finally compared to the analytical expression.

Journal ArticleDOI
TL;DR: In this paper, the authors examined the optical sources of noise that degrade high-performance microwave photonic links and suggested the use of a semiconductor optical amplifier in saturation as yet another means to reduce the phase noise induced by laser intensity fluctuations.
Abstract: In this paper we examine the optical sources of noise that degrade high-performance microwave photonic links. In particular, we study the residual phase noise due to laser frequency fluctuations and the detector nonlinearity on microwave signals transmitted on an optical fiber, or generated in the opto-electronic oscillator (OEO). Based on experimental findings, we identify a significant reduction of the relative intensity noise of the laser if the received optical power saturates the photodiode. Furthermore, we suggest the use of a semiconductor optical amplifier in saturation as yet another means to reduce the phase noise induced by laser intensity fluctuations. We also identify the use of multiple photodetectors to reduce the influence of associated 1/f noise, which adds to the phase noise of a transmitted microwave signal, and is the ultimate limitation to the phase noise of the high-performance OEO. Reduction of noise that is due to optical interferences is also addressed.

Journal ArticleDOI
TL;DR: In this article, the stabilization of the beatnote of an Er,Yb:glass dual-frequency laser at 1.5 GHz with and without an external microwave reference is described.
Abstract: We describe the stabilization of the beatnote of an Er,Yb:glass dual-frequency laser at 1.5 mum with and without an external microwave reference. In the first case, a classical optical phase-locked loop (OPLL) is used, and absolute phase noise levels as low as -117 dBrad2/Hz at 10 kHz from the carrier are reported. In the second case one or two fiber-optic delay lines are used to lock the frequency of the beatnote. Absolute phase noise levels as low as -107 dBrad2/Hz at 10 kHz from the carrier are measured, fairly independant of the beatnote frequency varying from 2 to 6 GHz. An analysis of the phase noise level limitation is presented in the linear servo-loop theory framework. The expected phase noise level calculated from the measurement of the different noise sources fits well with the predictions.

Journal ArticleDOI
TL;DR: An analytic model of Coherent Optical Orthogonal Frequency Division Multiplexing (OFDM) propagation and detection over multi-span long-haul fiber links is developed, comprehensively and rigorously analyzing the impairments due the combined effects of FWM, Dispersion and ASE noise.
Abstract: We develop an analytic model of Coherent Optical Orthogonal Frequency Division Multiplexing (OFDM) propagation and detection over multi-span long-haul fiber links, comprehensively and rigorously analyzing the impairments due the combined effects of FWM, Dispersion and ASE noise. Consistent with prior work of Innoe and Schadt in the WDM context, our new closed-form expressions for the total FWM received power fluctuations in the wake of dispersive phase mismatch in OFDM transmission, indicate that the FWM contributions of the multitude of spans build-up on a phased-array basis. For particular ultra-long haul link designs, the effectiveness of dispersion in reducing FWM is far greater than previously assumed in OFDM system analysis. The key is having the dominant FWM intermodulation products due to the multiple spans, destructively interfere, mutually cancelling their FWM intermodulation products, analogous to operating at the null of a phased-array antenna system. By applying the new analysis tools, this mode of effectively mitigating the FWM impairment, is shown under specific dispersion and spectral management conditions, to substantially suppress the FWM power fluctuations. Accounting for the phased-array concept and applying the compact OFDM design formulas developed here, we analyzed system performance of a 40 Gbps coherent OFDM system, over standard G.652 fiber, with cyclic prefix based electronic dispersion compensation but no optical compensation along the link. The transmission range for 10-3 target BER is almost tripled from 2560 km to 6960 km, relative to a reference system performing optical dispersion compensation in every span (ideally accounting for FWM and ASE noise and the cyclic prefix overhead, but excluding additional impairments).

Journal ArticleDOI
TL;DR: A low Terahertz frequency generator is realized in 90 nm CMOS by linearly superimposing quadruple (N=4) phase shifted fundamental signals at one fourth of the output frequency by linear superposition (LS) technique.
Abstract: A low Terahertz (324 GHz) frequency generator is realized in 90 nm CMOS by linearly superimposing quadruple (N=4) phase shifted fundamental signals at one fourth of the output frequency (81 GHz). The developed technique minimizes the fundamental, second and third order harmonics without extra filtering and results in a high fundamental-to-4 th harmonic signal conversion ratio of 0.17 or -15.4 dB. The demonstrated prototype produces a calibrated -46 dBm output power when biased at 1 V and 12 mA with 4 GHz tuning range and extrapolated phase noise of -91 dBc/Hz at 10 MHz frequency offset. The linear superposition (LS) technique can be generalized for all even number cases (N=2k, where k=1,2,3,4,...,n) with different tradeoffs in output power and frequency. As CMOS continues to scale, we anticipate the LS N=4 VCO to generate signals beyond 2 Terahertz by using 22 nm CMOS and produce output power up to -1.5 dBm with 1.7% power added efficiency with an LS VCO + Class-B Power Amplifier cascaded circuit architecture.

Journal ArticleDOI
TL;DR: A sub-harmonic injection-locked tripler multiplies a 20-GHz differential input to 60-GHz quadrature (I/Q) output signals and Regenerative peaking is also used to optimize the gain/bandwidth performance of the 50-Omega output buffers.
Abstract: A sub-harmonic injection-locked tripler multiplies a 20-GHz differential input to 60-GHz quadrature (I/Q) output signals. The tripler consists of a two-stage ring oscillator driven by a single-stage polyphase input filter and 50-Omega I and Q-signal output buffers. Each gain stage incorporates a hard limiter to triple the input frequency for injection locking and a negative resistance cell with two positive feedback loops to increase gain. Regenerative peaking is also used to optimize the gain/bandwidth performance of the 50-Omega output buffers. Fabricated in 90-nm CMOS, the tripler has a free-running frequency of 60.6 GHz. From a 0-dBm RF source, the measured output lock range is 56.5-64.5 GHz, and the measured phase noise penalty is 9.2 plusmn 1 dB with respect to a 20.2-GHz input. The 0.3 times 0.3 mm2 tripler (including passives) consumes 9.6 mW, while the output buffers consume 14.2 mW, all from a 1-V supply.

Journal ArticleDOI
22 Apr 2008
TL;DR: Two designs of voltage-controlled oscillators (VCOs) with mutually coupled and switched inductors are presented to demonstrate that the tuning range of an LC VCO can be improved with only a small increase in phase noise and die area in a standard digital CMOS process.
Abstract: Two designs of voltage-controlled oscillators (VCOs) with mutually coupled and switched inductors are presented in this paper to demonstrate that the tuning range of an LC VCO can be improved with only a small increase in phase noise and die area in a standard digital CMOS process. Particular attention is given to the layout of the inductors to maintain Q across the tuning range. In addition, different capacitive coarse-tuning methods are compared based on simulated and measured data obtained from test structures. Implemented in a 90 nm digital CMOS process, a VCO with two extra coupled inductors achieves a 61.9% tuning range with an 11.75 GHz center frequency while dissipating 7.7 mW from a 1.2 V supply. This VCO has a measured phase noise of -106 dBc/Hz at 1 MHz offset from the center frequency resulting in a higher figure-of-merit than other recently published VCOs with similar operating frequencies. In addition, the area overhead is only 30% compared to a conventional LC VCO with a single inductor.

Journal ArticleDOI
TL;DR: In this paper, the IGS clock products of the International Global Navigation Satellite Systems (GNSS) Service (IGS) are used to characterize the timing performance of the GPS satellites.
Abstract: The clock products of the International Global Navigation Satellite Systems (GNSS) Service (IGS) are used to characterize the timing performance of the GPS satellites. Using 5-min and 30-s observational samples and focusing only on the sub-daily regime, approximate power-law stochastic processes are found. The Block IIA Rb and Cs clocks obey predominantly random walk phase (or white frequency) noise processes. The Rb clocks are up to nearly an order of magnitude more stable and show a flicker phase noise component over intervals shorter than about 100 s. Due to the onboard Time Keeping System in the newer Block IIR and IIR-M satellites, their Rb clocks behave in a more complex way: as an apparent random walk phase process up to about 100 s and then changing to flicker phase up to a few thousand seconds. Superposed on this random background, periodic signals have been detected in all clock types at four harmonic frequencies, n × (2.0029 ± 0.0005) cycles per day (24 h coordinated universal time or UTC), for n = 1, 2, 3, and 4. The equivalent fundamental period is 11.9826 ± 0.0030 h, which surprisingly differs from the reported mean GPS orbital period of 11.9659 ± 0.0007 h by 60 ± 11 s. We cannot account for this apparent discrepancy but note that a clear relationship between the periodic signals and the orbital dynamics is evidenced for some satellites by modulations of the spectral amplitudes with eclipse season. All four harmonics are much smaller for the IIR and IIR-M satellites than for the older blocks. Awareness of the periodic variations can be used to improve the clock modeling, including for interpolation of tabulated IGS products for higher-rate GPS positioning and for predictions in real-time applications. This is especially true for high-accuracy uses, but could also benefit the standard GPS operational products. The observed stochastic properties of each satellite clock type are used to estimate the growth of interpolation and prediction errors with time interval.

Journal ArticleDOI
TL;DR: It is demonstrated that spurious tones in the output of a fractional-N PLL can be reduced by replacing the DeltaSigma modulator with a new type of digital quantizer and adding a charge pump offset combined with a sampled loop filter.
Abstract: This paper demonstrates that spurious tones in the output of a fractional-N PLL can be reduced by replacing the DeltaSigma modulator with a new type of digital quantizer and adding a charge pump offset combined with a sampled loop filter. It describes the underlying mechanisms of the spurious tones, proposes techniques that mitigate the effects of the mechanisms, and presents a phase noise cancelling 2.4 GHz ISM-band CMOS PLL that demonstrates the techniques. The PLL has a 975 kHz loop bandwidth and a 12 MHz reference. Its phase noise has a worst-case reference spur power of - 70 dBc and a worst-case in-band fractional spur power of -64 dBc.

Journal ArticleDOI
TL;DR: In this article, the authors investigated the sensitivity of the digital coherent receiver both theoretically and experimentally, and showed that the receiver sensitivity close to the shot-noise limit is achieved in the 10-Gbit/s binary phase-shift keying system with the help of a lownoise optical preamplifier.
Abstract: In this paper, we investigate the sensitivity of the digital coherent receiver both theoretically and experimentally. The receiver sensitivity close to the shot-noise limit is demonstrated in the 10-Gbit/s binary phase-shift keying system with the help of a low-noise optical preamplifier. We also introduce polarization diversity into our receiver. Maximal-ratio polarization combining in the digital domain makes the receiver sensitivity independent of the state of polarization of the incoming signal without power penalty.

Journal ArticleDOI
TL;DR: This work models the impact of atmospheric turbulence-induced phase and amplitude fluctuations on free-space optical links using synchronous detection and derives exact expressions for the probability density function of the signal-to-noise ratio in the presence of turbulence.
Abstract: We model the impact of atmospheric turbulence-induced phase and amplitude fluctuations on free-space optical links using synchronous detection. We derive exact expressions for the probability density function of the signal-to-noise ratio in the presence of turbulence. We consider the effects of log-normal amplitude fluctuations and Gaussian phase fluctuations, in addition to local oscillator shot noise, for both passive receivers and those employing active modal compensation of wave-front phase distortion. We compute error probabilities for M-ary phase-shift keying, and evaluate the impact of various parameters, including the ratio of receiver aperture diameter to the wave-front coherence diameter, and the number of modes compensated.

Journal ArticleDOI
TL;DR: This work uses a generalized Adler's equation for large injections to analyze the operation of injection-locked ring oscillators and derive expressions for the input lock range, and discovers that injection in the correct progressive phases greatly widens the lock range.
Abstract: Injection-locked oscillators divide at very high frequencies and consume low power. They are not widely deployed in commercial products because they operate over small, often unpredictable, ranges of input frequencies. Ring oscillators as dividers are interesting because they are compact, and capable of a multi-phase output, including quadrature phases. Using a generalized Adler's equation for large injections, we analyze the operation of injection-locked ring oscillators and derive expressions for the input lock range. We discover that injection in the correct progressive phases greatly widens the lock range; all that is needed is the right delay cell circuit, and the injection input in one or two phases. As proof of concept, divide-by-two and six prototypes are built. The measured lock range spans DC to 1.5 the free-running frequency, the highest reported to date.

Proceedings ArticleDOI
19 May 2008
TL;DR: In this paper, the authors describe two recent types of opto-electronic oscillators: a long-fiber optical oscillator and a low-noise 10 GHz compact oscillator.
Abstract: This paper describes two recent types of opto-electronic oscillators. The first is a long fiber opto-electronic oscillator, utilizing a high power laser with long delay, and consisting of low noise components. This oscillator generates a stable 10 GHz signal with phase noise of -163 dBc/Hz at 6 kHz offset from the carrier. The second is a low noise 10 GHz compact opto-electronic oscillator. This latter oscillator consists of coupled optical and microwave loops utilizing a short fiber. We also report on an automatic ultra-low noise floor measurement system, designed and built to measure the phase noise of the above (and other) oscillators. This delay line cross-correlation measurement system utilizes microwave-photonic links, eliminating the need for a second oscillator. This system provides quick and reliable measurement of the oscillator under test.