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Visnyk of Vinnytsia Politechnical Institute

Using Analog-to-Digital Converters to Increase the Efficiency of Digital Antenna Arrays

Vasyl M. Kychak, M.I. Ursan, O.Melnychuk O.Melnychuk

Published Jan 1, 2024• 0 citations
Publisher

Abstract

Analog-to-digital converters of radio signals, which are based on the phenomenon of superconductivity and the Josephson effect, are proposed to use in order to increase the efficiency of digital antenna arrays. Digital beamforming systems were analysed. Application of the proposed approach was shown to promote processing signals directly at carrier frequencies in the SHF and EHF bands. This approach allows to exclude frequency mixers, local oscillators and intermediate frequency filters from a receiving module. A parallel scheme with comparators on superconducting quantum interferometers is proposed for constructing a superconducting ADC. A digital Gray code is formed at the output of the ADC. The proposed scheme being utilizing, when the input signal increases, each comparator passes through several thresholds, and if Gray codes are applied, only one of the output bits changes between consecutive numbers. Therefore, Gray codes are less sensitive to errors that arise due to small differences in comparator’s thresholds. This promotes reduction of the bit error probability. As an outcome the performed analysis, it was shown that generators of single-quantum pulses on single Josephson junction with a hysteresis-free current-voltage characteristic can be used for constructing comparators, that provides obtaining a high time resolution. The dependence of time resolution on Josephson junction parameters, namely dielectric thickness, relative dielectric permeability and critical current density, was investigated. The resolution was shown to be equal units — tenths of a ns, and this allows using such devices for signal processing at frequencies of several hundred GHz. The time resolution changes with changes in the critical current density of a Josephson junction and in the dielectric thickness and it is almost independent on the relative dielectric permittivity. The sensitivity of the comparator on a single Josephson junction was evaluated. An analytical expression was obtained, it can be applied to estimate how parameters of the Josephson junction equivalent circuit, namely, electrostatic capacity, nonlinear conductivity, and critical current impact on the sensitivity of the comparator. The conducted studies showed that the sensitivity can be units of nA, which exceeds significantly the sensitivity of similar circuits based on semiconductors.

DOI
10.31649/1997-9266-2024-173-2-101-108

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Analog-to-digital converters of radio signals, which are based on the phenomenon of superconductivity and the Josephson effect, are proposed to use in order to increase the efficiency of digital antenna arrays. Digital beamforming systems were analysed. Application of the proposed approach was shown to promote processing signals directly at carrier frequencies in the SHF and EHF bands. This approach allows to exclude frequency mixers, local oscillators and intermediate frequency filters from a receiving module. A parallel scheme with comparators on superconducting quantum interferometers is proposed for constructing a superconducting ADC. A digital Gray code is formed at the output of the ADC. The proposed scheme being utilizing, when the input signal increases, each comparator passes through several thresholds, and if Gray codes are applied, only one of the output bits changes between consecutive numbers. Therefore, Gray codes are less sensitive to errors that arise due to small differences in comparator’s thresholds. This promotes reduction of the bit error probability. As an outcome the performed analysis, it was shown that generators of single-quantum pulses on single Josephson junction with a hysteresis-free current-voltage characteristic can be used for constructing comparators, that provides obtaining a high time resolution. The dependence of time resolution on Josephson junction parameters, namely dielectric thickness, relative dielectric permeability and critical current density, was investigated. The resolution was shown to be equal units — tenths of a ns, and this allows using such devices for signal processing at frequencies of several hundred GHz. The time resolution changes with changes in the critical current density of a Josephson junction and in the dielectric thickness and it is almost independent on the relative dielectric permittivity. The sensitivity of the comparator on a single Josephson junction was evaluated. An analytical expression was obtained, it can be applied to estimate how parameters of the Josephson junction equivalent circuit, namely, electrostatic capacity, nonlinear conductivity, and critical current impact on the sensitivity of the comparator. The conducted studies showed that the sensitivity can be units of nA, which exceeds significantly the sensitivity of similar circuits based on semiconductors.
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.
We describe three types of software-defined-radio (SDR) receivers based on superconducting technologies. The superconducting analog bandpass filters are essential for all types of the receivers. Another key component is an analog-to-digital converters (ADCs), which are required to have high resolution with a broad band width. The complementary A ADC based on the single-flux-quantum circuit is a promising candidate for the SDR receivers because it has a practical nature together with above-mentioned requirements. The experimentally obtained signal-to-noise ratio (SNR) and sensitivity, which are closely related to the resolution, are 34 dB and 20 μA for a quarter of the full-scale input with a band width of about 20 MHz. If we use the optimum decimation filter, the ADC is expected to have the SNR of 82 dB and the sensitivity of 300 nA. These values meet the requirements of the easiest type of the SDR receiver. After new fabrication process has been introduced and the architecture of the ADC has been improved, all types of recievers could be realized based on suoerconductors.
This work addresses new signal processing circuits using the special features of superconductivity. A novel flash-type analog-to-digital converter based on a comparator invented in the preceding contract period was demonstrated. The comparator was shown to be useful as a logic gate and an encoder was designed with it. A high-resolution delta-sigma analog-to-digital converter was devised with superconductive components in spite of the lack of an analog integrator in this technology. Positive theoretical results are being followed up experimentally. A simple flux-shuttle single-flux-quantum shift register was devised and several different readout schemes were studied. A six- bit-long version was successfully tested at 1 GHz. A decoder that takes in a five-bit word to select one of 32 output lines was completed. The design involved very tight limitations on current and power. The decoder was combined with a serial-to-parallel converter and operated at 2 GHz. A study of the appropriate architectures for various types of superconductive or Josephson digital technology was developed: an inductance-extraction program.
Software-Defined Radio (SDR), as explained in [1], is a promising concept for the wireless communication industry since the entire transceiver function can be implemented in software, avoiding the replacement of hardware each time the system has to be upgraded. However, the practical implementation of such a system is depended on the hardware, which consists of precise, ultra highspeed electronic devices such as Analog-to-Digital Converters (ADCs). The present state-of-the-art semiconductor ADCs cannot be used for the implementation of SDR in the near future [2]. Some of the factors that hamper the implementation are the requirements of very high speed of a few tens of GHz and the high resolution (e.g. 16 bits) at these speeds. On the other hand, using the Low-Temperature Superconducting (LTS) technology [3], which relays on the quantum mechanical property of superconductors, very high-speed electronic devices with the accuracy of a flux quantum, can be constructed. In a closed superconducting loop, the magnetic flux can exist only in discrete quantized amounts equal to the multiples of the magnetic flux quantum, φ0 = h/2e ~ 2.07x10 Wb. The theoretical speed limit of such a Rapid Single Flux Quantum (RSFQ) device is close to 1 THz [4]. These RSFQ circuits are the fastest of all devices built in any known technology. The basic building block of an RSFQ circuit is the Josephson Junction (JJ), which is formed when two superconductors are separated by an interface. Since RSFQ circuits work at extremely high speeds, testing and verification of such a device is a difficult and challenging task. Direct testing at these speeds is not possible at this moment. Furthermore, the costs of the equipment required for such tests would be extremely high. Hence methods have to be developed to reduce the requirements of external
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.
Wireless applications would be less expensive, more flexible, and more robust if they had more digital and less analog circuitry. The problem is implementing digital signal processing at radio frequencies. Conventional data converters (ADCs and DACs) and digital circuits are simply not fast enough. However, superconductors can provide ultra fast mixed signal and digital circuits with the linearity and dynamic range required for true direct, digital-RF processing. These superconducting circuits are digital ICs based on Josephson junctions and "rapid-single-flux-quantum" logic (RSFQ), where switching speeds up to 750 GHz have been demonstrated enabling true digital-RF architecture at clock speeds eventually up to 160 GHz. This permits direct conversion between analog RF and digital baseband signals, replacing frequency and protocol-specific analog hardware with flexible digital processors. Data conversion in high frequency wireless applications at frequencies up to 50 GHz will soon become practical. Hypres recently delivered a HF-VHF all digital RF receiver (ADR) prototype to ONR. Testing of this ADR has demonstrated the superior performance of superconducting ICs in cryocooled systems. A US Navy laboratory is now evaluating the world's first complete prototype digital RF receiver capable of direct digitization from DC to 2 GHz