Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE Transactions on Applied Superconductivity

Flux quantum sigma-delta analog-to-digital converters for rf signals

Donald L. Miller, John X. Przybysz, A. Hodge Worsham, E.J. Dean

Published Jun 1, 1999• 25 citations
Publisher

Abstract

The sigma-delta architecture is the method of choice for analog-to-digital converters (ADCs) for high dynamic range applications. This architecture uses oversampling and precise feedback to generate a shaped spectral distribution of the quantization noise. Subsequent digital filtering suppresses out-of-band quantization noise, yielding a large signal to in-band noise ratio. A unique advantage of superconducting electronics is the availability of the flux quantum to provide quantum mechanically accurate feedback at GHz rates. Josephson digital technology extends sigma-delta ADCs from MHz sampling rates to GHz sampling rates, from kHz signal bandwidths to MHz signal bandwidths, with comparable or better dynamic range when compared to semiconductor implementations. This paper presents circuits for Josephson sigma-delta ADCs, including single-loop and double-loop modulators operating at sampling rates up to 2 GHz, and circuits for quantized feedback. The first demonstration of double-loop noise shaping is also presented.

DOI
10.1109/77.783911

Related papers

Superconducting modulators for high dynamic range delta-sigma analog-to-digital converters

A. Hodge Worsham, Donald L. Miller, Paul D. Dresselhaus +2 more

Superconducting digital circuits are capable of producing high dynamic range analog-to-digital converters (ADCs). We present sigma-delta architectures using large (>100) oversampling ratios to give signal-to-noise ratios of greater than 100 dB in simulation. Three distinct designs, using two distinct mechanisms for feedback, are presented. All of the designs use only shunted junctions, and are therefore compatible with HTS SNS junctions. Simulations are presented for a modulator which creates feedback pulses by SQUID lobe-crossings, a modulator which uses the transresistance of a SQUID for feedback, and a modulator which uses threshold crossings in both the first and second loops for feedback.

IEEE Transactions on Applied Superconductivity•Jun 1, 1999•26 citations

Superconductor analog-to-digital converters and their applications

Deepnarayan Gupta, Amol Inamdar, Dmitri E. Kirichenko +2 more

A wide variety of applications, ranging from radio-frequency (RF) receivers for broadband communications and signal detection, on earth and in space, would benefit from high-performance superconductor analog-to-digital converters (ADCs), based on magnetic flux quantization and fast switching Josephson junctions. Superconductor ADCs are capable of very high sample rates (100 GHz or more), very high linearity, and high sensitivity. Nyquist-rate ADCs use the high sample rate to digitize a wide instantaneous bandwidth (tens of GHz) and are useful for wideband spectrum monitoring as well as high-end scientific instrumentation. Delta and delta-sigma oversampling ADCs use the high linearity to achieve programmable trade-off between dynamic range and instantaneous bandwidth. These lowpass and bandpass ADCs have been used for direct digitization of narrower (tens to hundreds of MHz) RF bands in the 1-20 GHz range for a variety of communications, intelligence, electronic warfare, and radar applications. Another application area of these cryogenic ADCs is for outputs of cryogenic sensor arrays and terahertz mixers. Recent advances in various classes of ADCs for different applications are described.

IEEE MTT-S International Microwave Symposium digest•Jun 1, 2011•21 citations

A Quantum-Accurate Two-Loop Data Converter

Quentin Herr, Donald L. Miller, Aaron A. Pesetski +1 more

High performance oversampling delta-sigma data converters require high clock rates and accurate feedback of the digital output to the analog regime. Superconductor modulators offer the unique advantages of clock rates in the tens-of-gigahertz, comparator switching energy below attoJoules, and quantum-accurate digital-to-analog feedback. We have designed a two-loop baseband modulator whose noise transfer function was calculated using a simple, linear circuit model. The circuit was fabricated in a commercial superconductor IC process with 4.5 kA-per-square cm Josephson junctions and 1.5 micron minimum feature size. The circuit was tested at a derated sample rate of 5 GHz. Measured signal-to-noise dynamic range was 81 dB over a 10 MHz band. Third-order intercept was measured to be +24 dBsat in two-tone test. The measured noise transfer function was in excellent agreement with our linear model. The linear model indicates that with appropriate parameter values, this family of modulators extrapolates to significantly higher performance.

IEEE Transactions on Applied Superconductivity•Jun 1, 2009•6 citations

Superconducting bandpass delta-sigma modulator

John F. Bulzacchelli, H.-S. Lee, James A. Misewich +1 more

Bandpass delta-sigma modulators digitize narrowband signals with high dynamic range and linearity. The required sampling rate is only a few times higher than the centre frequency of the input. This paper presents a superconducting bandpass delta-sigma modulator for direct analogue-to-digital conversion of RF signals in the GHz range. The input signal is capacitively coupled to one end of a microstrip transmission line, and a single flux quantum balanced comparator quantizes the current flowing out of the other end. Quantization noise is suppressed at the quarter-wave resonance of the transmission line (about 2 GHz in our design). Circuit performance at a 20 GHz sampling rate has been studied with several long JSIM simulations. Full-scale (FS) input sensitivity is 20 mV (rms), and in-band noise is -53 dBFS and -57 dBFS over bandwidths of 39 MHz and 19.5 MHz, respectively. In-band intermodulation distortion is better than -69 dBFS.

Superconductor Science and Technology•Nov 1, 1999•13 citations

Superconductor analog to digital converter for sigint applications

Amol Inamdar, Deepnarayan Gupta, Timur V. Filippov +6 more

Superconductor analog-to-digital converters (ADC) offer high sensitivity and large dynamic range. We report recent advances in the low-pass phase-modulation-demodulation (PMD) oversampled analog-to-digital converter (ADC). The oversampled data from the PMD front-end are passed along with sampling clock to an on-chip digital filter. In the past, the maximum frequency of operation of such chips were limited by that of the digital decimation filter (DDF) to about 30 GHz. Recently, we have designed a chip that allows the PMD front-end to be clocked twice as fast as the DDF, resulting in sampling rates of 46.08 GHz and 29.44 GHz for chips with critical current densities of 4.5 and 1 kA/cm2respectively. We have also designed a new PMD front-end, with a quarter-rate quantizer (QRQ) that allows 18-20 dB extension of dynamic range. We are also pursuing a subranging ADC design with two PMD front-ends connected with fluxon amplifier and subtractor circuitry that promises a dynamic range extension by 25-30 dB. We report signal-to-noise ratio and spur-free dynamic range measurement results for various ADC chips, and project performance for future improvements.

IEEE Military Communications Conference (MILCOM)•Nov 1, 2008•8 citations

Superconducting bandpass ΔΣ modulator with 2.23-GHz center frequency and 42.6-GHz sampling rate

John F. Bulzacchelli, Hae-Seung Lee, James A. Misewich +1 more

This paper presents a superconducting bandpass /spl Delta//spl Sigma/ modulator for direct analog-to-digital conversion of radio frequency signals in the gigahertz range. The design, based on a 2.23-GHz microstrip resonator and a single flux quantum comparator, exploits several advantages of superconducting electronics: the high quality factor of resonators, the fast switching speed of the Josephson junction, natural quantization of voltage pulses, and high circuit sensitivity. The modulator test chip includes an integrated acquisition memory for capturing output data at sampling rates up to 45 GHz. The small size (256 b) of the acquisition memory limits the frequency resolution of spectra based on standard fast Fourier transforms. Output spectra with enhanced resolution are obtained with a segmented correlation method. At a 42.6-GHz sampling rate, the measured SNR is 49 dB over a 20.8-MHz bandwidth, and a full-scale (FS) input is -17.4 dBm. At a 40.2-GHz sampling rate, the measured in-band noise is -57 dBFS over a 19.6-MHz bandwidth. The modulator test chip contains 4065 Josephson junctions and dissipates 1.9 mW at T=4.2 K.

IEEE Journal of Solid-State Circuits•Dec 1, 2002•21 citations
The sigma-delta architecture is the method of choice for analog-to-digital converters (ADCs) for high dynamic range applications. This architecture uses oversampling and precise feedback to generate a shaped spectral distribution of the quantization noise. Subsequent digital filtering suppresses out-of-band quantization noise, yielding a large signal to in-band noise ratio. A unique advantage of superconducting electronics is the availability of the flux quantum to provide quantum mechanically accurate feedback at GHz rates. Josephson digital technology extends sigma-delta ADCs from MHz sampling rates to GHz sampling rates, from kHz signal bandwidths to MHz signal bandwidths, with comparable or better dynamic range when compared to semiconductor implementations. This paper presents circuits for Josephson sigma-delta ADCs, including single-loop and double-loop modulators operating at sampling rates up to 2 GHz, and circuits for quantized feedback. The first demonstration of double-loop noise shaping is also presented.
Superconducting digital circuits are capable of producing high dynamic range analog-to-digital converters (ADCs). We present sigma-delta architectures using large (>100) oversampling ratios to give signal-to-noise ratios of greater than 100 dB in simulation. Three distinct designs, using two distinct mechanisms for feedback, are presented. All of the designs use only shunted junctions, and are therefore compatible with HTS SNS junctions. Simulations are presented for a modulator which creates feedback pulses by SQUID lobe-crossings, a modulator which uses the transresistance of a SQUID for feedback, and a modulator which uses threshold crossings in both the first and second loops for feedback.
A wide variety of applications, ranging from radio-frequency (RF) receivers for broadband communications and signal detection, on earth and in space, would benefit from high-performance superconductor analog-to-digital converters (ADCs), based on magnetic flux quantization and fast switching Josephson junctions. Superconductor ADCs are capable of very high sample rates (100 GHz or more), very high linearity, and high sensitivity. Nyquist-rate ADCs use the high sample rate to digitize a wide instantaneous bandwidth (tens of GHz) and are useful for wideband spectrum monitoring as well as high-end scientific instrumentation. Delta and delta-sigma oversampling ADCs use the high linearity to achieve programmable trade-off between dynamic range and instantaneous bandwidth. These lowpass and bandpass ADCs have been used for direct digitization of narrower (tens to hundreds of MHz) RF bands in the 1-20 GHz range for a variety of communications, intelligence, electronic warfare, and radar applications. Another application area of these cryogenic ADCs is for outputs of cryogenic sensor arrays and terahertz mixers. Recent advances in various classes of ADCs for different applications are described.
High performance oversampling delta-sigma data converters require high clock rates and accurate feedback of the digital output to the analog regime. Superconductor modulators offer the unique advantages of clock rates in the tens-of-gigahertz, comparator switching energy below attoJoules, and quantum-accurate digital-to-analog feedback. We have designed a two-loop baseband modulator whose noise transfer function was calculated using a simple, linear circuit model. The circuit was fabricated in a commercial superconductor IC process with 4.5 kA-per-square cm Josephson junctions and 1.5 micron minimum feature size. The circuit was tested at a derated sample rate of 5 GHz. Measured signal-to-noise dynamic range was 81 dB over a 10 MHz band. Third-order intercept was measured to be +24 dBsat in two-tone test. The measured noise transfer function was in excellent agreement with our linear model. The linear model indicates that with appropriate parameter values, this family of modulators extrapolates to significantly higher performance.
Bandpass delta-sigma modulators digitize narrowband signals with high dynamic range and linearity. The required sampling rate is only a few times higher than the centre frequency of the input. This paper presents a superconducting bandpass delta-sigma modulator for direct analogue-to-digital conversion of RF signals in the GHz range. The input signal is capacitively coupled to one end of a microstrip transmission line, and a single flux quantum balanced comparator quantizes the current flowing out of the other end. Quantization noise is suppressed at the quarter-wave resonance of the transmission line (about 2 GHz in our design). Circuit performance at a 20 GHz sampling rate has been studied with several long JSIM simulations. Full-scale (FS) input sensitivity is 20 mV (rms), and in-band noise is -53 dBFS and -57 dBFS over bandwidths of 39 MHz and 19.5 MHz, respectively. In-band intermodulation distortion is better than -69 dBFS.
Superconductor analog-to-digital converters (ADC) offer high sensitivity and large dynamic range. We report recent advances in the low-pass phase-modulation-demodulation (PMD) oversampled analog-to-digital converter (ADC). The oversampled data from the PMD front-end are passed along with sampling clock to an on-chip digital filter. In the past, the maximum frequency of operation of such chips were limited by that of the digital decimation filter (DDF) to about 30 GHz. Recently, we have designed a chip that allows the PMD front-end to be clocked twice as fast as the DDF, resulting in sampling rates of 46.08 GHz and 29.44 GHz for chips with critical current densities of 4.5 and 1 kA/cm2respectively. We have also designed a new PMD front-end, with a quarter-rate quantizer (QRQ) that allows 18-20 dB extension of dynamic range. We are also pursuing a subranging ADC design with two PMD front-ends connected with fluxon amplifier and subtractor circuitry that promises a dynamic range extension by 25-30 dB. We report signal-to-noise ratio and spur-free dynamic range measurement results for various ADC chips, and project performance for future improvements.
This paper presents a superconducting bandpass /spl Delta//spl Sigma/ modulator for direct analog-to-digital conversion of radio frequency signals in the gigahertz range. The design, based on a 2.23-GHz microstrip resonator and a single flux quantum comparator, exploits several advantages of superconducting electronics: the high quality factor of resonators, the fast switching speed of the Josephson junction, natural quantization of voltage pulses, and high circuit sensitivity. The modulator test chip includes an integrated acquisition memory for capturing output data at sampling rates up to 45 GHz. The small size (256 b) of the acquisition memory limits the frequency resolution of spectra based on standard fast Fourier transforms. Output spectra with enhanced resolution are obtained with a segmented correlation method. At a 42.6-GHz sampling rate, the measured SNR is 49 dB over a 20.8-MHz bandwidth, and a full-scale (FS) input is -17.4 dBm. At a 40.2-GHz sampling rate, the measured in-band noise is -57 dBFS over a 19.6-MHz bandwidth. The modulator test chip contains 4065 Josephson junctions and dissipates 1.9 mW at T=4.2 K.