Calibration of DAC mismatch errors in sigma delta ADCs based on a sine-wave measurement

We present an offline calibration procedure to correct the nonlinearity due element mismatch in the digital-to-analog converter (DAC) of a multibit Sigma Delta-modulation A/D converter. The calibration uses a single measurement on a sinusoidal input signal, from which the DAC errors can be estimated. The main quality of the calibration method is that it can be implemented completely in the digital domain (or in software) and does not intervene in any way in the analog modulator circuit. This way, the technique is a powerful tool for verifying and debugging designs. Due to the simplicity of the method, it may be also a viable approach for factory calibration

Contribution to the design of continuous -time Sigma - Delta Modulators based on time delay elements

The research carried out in this thesis is focused in the development of a new class of data converters for digital radio. There are two main architectures for communication receivers which perform a digital demodulation. One of them is based on analog demodulation to the base band and digitization of the I/Q components. Another option is to digitize the band pass signal at the output of the IF stage using a bandpass Sigma-Delta modulator. Bandpass Sigma- Delta modulators can be implemented with discrete-time circuits, using switched capacitors or continuous-time circuits. The main innovation introduced in this work is the use of passive transmission lines in the loop filter of a bandpass continuous-time Sigma-Delta modulator instead of the conventional solution with gm-C or LC resonators. As long as transmission lines are used as replacement of a LC resonator in RF technology, it seems compelling that transmission lines could improve bandpass continuous-time Sigma-Delta modulators. The analysis of a Sigma- Delta modulator using distributed resonators has led to a completely new family of Sigma- Delta modulators which possess properties inherited both from continuous-time and discretetime Sigma-Delta modulators. In this thesis we present the basic theory and the practical design trade-offs of this new family of Sigma-Delta modulators. Three demonstration chips have been implemented to validate the theoretical developments. The first two are a proof of concept of the application of transmission lines to build lowpass and bandpass modulators. The third chip summarizes all the contributions of the thesis. It consists of a transmission line Sigma-Delta modulator which combines subsampling techniques, a mismatch insensitive circuitry and a quadrature architecture to implement the IF to digital stage of a receiver

A CCO-based Sigma-Delta ADC

Analog-to-digital converter (ADC) is one of the most important blocks in nowadays systems. Most of the data processing is done in the digital domain however, the physical world is analog. ADCs make the bridge between analog and digital domain. The constant and unstoppable evolution of the technology makes the dimensions of the transistors smaller and smaller, and the classical solutions of Sigma-Delta converters (ΣΔ) are becoming more challenging to design because they normally require high active gain blocks difficult to achieve in modern technologies. In recent years, the use of voltage-controlled oscillators (VCO) in ΣΔ converters has been widely explored, since they are used as quantizers and their implementations are mostly made with digital blocks, which is preferable with new technologies. In this work a second-order ΣΔ modulator based on two current-controlled oscillators (CCO) with a single output phase and an independent phase generator for each CCO that generates any desired number of phases using the oscillation of its CCO as reference has been proposed. This ΣΔ modulator was studied through a MATLAB/Simulink® model, obtaining promising results with the SNDR in the order of 75 dB, at a sampling frequency of 1 GHz, and a bandwidth of 5 MHz, corresponding to an ENOB of, approximately, 12 bits

Kvadratuuri-sigma-delta-AD-muuntimet: mallintaminen ja signaalinkäsittely

The versatile nature of modern wireless communications and on the other hand the push towards cost-efficiency, have created a demand for flexible radio transceivers. In addition, size and power consumption are critical for mobile solutions, thus setting their own demands for the circuitry. Traditionally in such architectures, the analog-to-digital converter has been seen as a performance bottleneck, limiting the possibilities to harness the full potential of the available digital signal processing techniques and algorithms. Therefore, analog-to-digital conversion based on a quadrature ΣΔ modulator noise shaping has been brought in as a promising possibility. More efficient noise shaping and better suitability for modern receivers applying complex signal processing principles already, compared to real counterpart make the quadrature converter particularly interesting choice. This thesis discusses the main principles of quadrature ΣΔ converter and related signal modeling. In addition to understanding the basic operation, it is crucial to understand the implementation related nonidealities, which can’t be avoided in any true circuit. One of the most important phenomena in this field, concerning the in-phase/quadrature processing in the transceivers, is the nonideal matching of the components on the two rails. Thus, the latter part of the thesis gives a detailed analysis on the mismatch problem in quadrature ΣΔ converters. Thereafter, the analysis is confirmed by computer simulations. Finally, it is shown that the mismatch mentioned above is a real concern, especially under the influence of a mirror frequency blocking signal. This might very well be the case in a wideband radio receiver with reduced analog selectivity. On the other hand, the analysis shows that educated design of the signal transfer function can be efficiently used to mitigate the interference originating from the mirror frequency in case of mismatch in the complex feedback branch of the modulator. In this way, the generated distortion can be reduced without any additional electronics, which would compromise cost-efficiency and other demands. Additionally, it is pointed out that independent frequency domain mirroring of the noise and the signal component sets challenges for traditional compensation algorithms. Thus, there is a call for innovative ideas to mitigate the mirror frequency distortion in quadrature ΣΔ modulators via digital signal processing. In this way the cost-efficiency, power consumption and size requirements wouldn’t be jeopardized due to additional electronics. /Kir10Nykyaikaisen langattoman tiedonsiirron monimuotoisuus, ja toisaalta tarve kustannustehokkuuteen, ovat luoneet tarpeen joustaville radiolähetin-vastaanottimille. Mobiilipäätelaitteissa myös koko ja virrankulutus ovat tärkeässä asemassa, asettaen näin omat vaatimuksensa laitteistolle. Tällaisissa rakenteissa analogia-digitaalimuunninten suorituskykyä on pitkään pidetty pullonkaulana nykyaikaisten digitaalisten signaalinkäsittelytekniikoiden tarjoaman potentiaalin hyödyntämiselle. Tämän seurauksena kvadratuuri ΣΔ-modulaattoriin perustuva analogia-digitaalimuunnos on esitetty lupaavana ratkaisuna. Reaaliseen rakenteeseen perustuvaa vastinetta tehokkaampi kohinanmuokkaus ja parempi sopivuus moderneihin kvadratuurivastaanottimiin, joissa hyödynnetään kompleksista signaalinkäsittelyä jo valmiiksi, tekevät muuntimesta erityisen mielenkiintoisen vaihtoehdon. Tässä diplomityössä esitellään kvadratuuri-ΣΔ-muunnoksen perusperiaatteet ja siihen liittyvät signaalimallit. Tämän lisäksi on myös tärkeää, perustoiminnallisuuden ymmärtämisen lisäksi, tiedostaa todelliseen piiritoteutukseen liittyvät väistämättömät epäideaalisuudet. I/Q prosessointia hyödyntävissä radiolaitteissa yksi tärkeimmistä tämän tyyppisistä ilmiöistä on kahden haaran välinen epäsovitus. Tästä johtuen sovitusongelma kvadratuuri ΣΔ muuntimissa analysoidaan tarkasti ja tietokonesimulaatioilla varmennetut tulokset esitetään tämän diplomityön loppupuolella. Työssä osoitetaan, että yllä mainittu epäsovitus on todellinen huolenaihe, erityisesti voimakkaan häiritsevän signaalin ollessa läsnä peilitaajuudella. Tällainen tilanne saattaa toteutua erityisesti laajakaistaisessa vastaanottimessa, jossa analogista selektiivisyyttä on pyritty vähentämään. Toisaalta analyysi osoittaa, että älykkäästi suunniteltu signaalisiirtofunktio auttaa tehokkaasti poistamaan modulaattorin takaisinkytkentähaarassa sijaitsevan epäsovituksen aiheuttamaa häiriötä. Tällä tavoin syntynyttä vääristymää pystytään vähentämään ilman ylimääräistä elektroniikkaa, jolloin kustannustehokkuudesta, tai muista vaatimuksista ei tarvitse tinkiä. Tämän lisäksi osoitetaan, että signaali- ja kohinakomponenttien toisistaan riippumaton peilaantuminen taajuuden suhteen luo haasteita perinteisille korjausalgoritmeille. Näin ollen kvadratuuri-ΣΔ-modulaattoreiden peilitaajuushäiriön hallitsemiseksi digitaalisen signaalinkäsittelyn keinoin tarvitaan uudenlaisia innovaatioita. Tällä tavoin voitaisiin myös välttää analogisen lisäelektroniikan aiheuttama kustannustehokkuus-, virrankulutus- ja kokovaatimusten vaarantuminen

A CMOS Digital Beamforming Receiver

As the demand for high speed communication is increasing, emerging wireless techniques seek to utilize unoccupied frequency ranges, such as the mm-wave range. Due to high path loss for higher carrier frequencies, beamforming is an essential technology for mm-wave communication. Compared to analog beamforming, digital beamforming provides multiple simultaneous beams without an SNR penalty, is more accurate, enables faster steering, and provides full access to each element. Despite these advantages, digital beamforming has been limited by high power consumption, large die area, and the need for large numbers of analog-to-digital converters. Furthermore, beam squinting errors and ADC non-linearity limit the use of large digital beamforming arrays. We address these limitations. First, we address the power and area challenge by combining Interleaved Bit Stream Processing (IL-BSP) with power and area efficient Continuous-Time Band-Pass Delta-Sigma Modulators (CTBPDSMs). Compared to conventional DSP, IL-BSP reduces both power and area by 80%. Furthermore, the new CTBPDSM architecture reduces ADC area by 67% and the energy per conversion by 43% compared to previous work. Second, we introduce the first integrated digital true-time-delay digital beamforming receiver to resolve the beam squinting. True-time-delay beamforming eliminates squinting, making it an ideal choice for large-array wide-bandwidth applications. Third, we present a new current-steering DAC architecture that provides a constant output impedance to improve ADC linearity. This significantly reduces distortion, leading to an SFDR improvement of 13.7 dB from the array. Finally, we provide analysis to show that the ADC power consumption of a digital beamformer is comparable to that of the ADC power for an analog beamformer. To summarize, we present a prototype phased array and a prototype timed array, both with 16 elements, 4 independent beams, a 1 GHz center frequency, and a 100 MHz bandwidth. Both the phased array and timed array achieve nearly ideal conventional and adaptive beam patterns, including beam tapering and adaptive nulling. With an 11.2 dB array gain, the phased array achieves a 58.5 dB SNDR over a 100 MHz bandwidth, while consuming 312 mW and occupying 0.22 mm2. The timed array achieves an EVM better than -37 dB for 5 MBd QAM-256 and QAM-512, occupies only 0.29 mm2, and consumes 453 mW.PHDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/147716/1/smjang_1.pd

Robust sigma delta converters : and their application in low-power highly-digitized flexible receivers

In wireless communication industry, the convergence of stand-alone, single application transceiver IC’s into scalable, programmable and platform based transceiver ICs, has led to the possibility to create sophisticated mobile devices within a limited volume. These multi-standard (multi-mode), MIMO, SDR and cognitive radios, ask for more adaptability and flexibility on every abstraction level of the transceiver. The adaptability and flexibility of the receive paths require a digitized receiver architecture in which most of the adaptability and flexibility is shifted in the digital domain. This trend to ask for more adaptability and flexibility, but also more performance, higher efficiency and an increasing functionality per volume, has a major impact on the IP blocks such systems are built with. At the same time the increasing requirement for more digital processing in the same volume and for the same power has led to mainstream CMOS feature size scaling, leading to smaller, faster and more efficient transistors, optimized to increase processing efficiency per volume (smaller area, lower power consumption, faster digital processing). As wireless receivers is a comparably small market compared to digital processors, the receivers also have to be designed in a digitally optimized technology, as the processor and transceiver are on the same chip to reduce device volume. This asks for a generalized approach, which maps application requirements of complex systems (such as wireless receivers) on the advantages these digitally optimized technologies bring. First, the application trends are gathered in five quality indicators being: (algorithmic) accuracy, robustness, flexibility, efficiency, and emission, of which the last one is not further analyzed in this thesis. Secondly, using the quality indicators, it is identified that by introducing (or increasing) digitization at every abstraction level of a system, the advantages of modern digitally optimized technologies can be exploited. For a system on a chip, these abstraction levels are: system/application level, analog IP architecture level, circuit topology level and layout level. In this thesis, the quality indicators together with the digitization at different abstraction levels are applied to S¿ modulators. S¿ modulator performance properties are categorized into the proposed quality indicators. Next, it is identified what determines the accuracy, robustness, flexibility and efficiency of a S¿ modulator. Important modulator performance parameters, design parameter relations, and performance-cost relations are derived. Finally, several implementations are presented, which are designed using the found relations. At least one implementation example is shown for each level of digitization. At system level, a flexible (N)ZIF receiver architecture is digitized by shifting the ADC closer to the antenna, reducing the amount of analog signal conditioning required in front of the ADC, and shifting the re-configurability of such a receiver into the digital domain as much as possible. Being closer to the antenna, and because of the increased receiver flexibility, a high performance, multi-mode ADC is required. In this thesis, it is proven that such multi-mode ADCs can be made at low area and power consumption. At analog IP architecture level, a smarter S¿ modulator architecture is found, which combines the advantages of 1-bit and multi-bit modulators. The analog loop filter is partly digitized, and analog circuit blocks are replaced by a digital filter, leading to an area and power efficient design, which above all is very portable, and has the potential to become a good candidate for the ADC in multimode receivers. At circuit and layout level, analog circuits are designed in the same way as digital circuits are. Analog IP blocks are split up in analog unit cells, which are put in a library. For each analog unit cell, a p-cell layout view is created. Once such a library is available, different IP blocks can be created using the same unit cells and using the automatic routing tools normally used for digital circuits. The library of unit cells can be ported to a next technology very quickly, as the unit cells are very simple circuits, increasing portability of IP blocks made with these unit cells. In this thesis, several modulators are presented that are designed using this digital design methodology. A high clock frequency in the giga-hertz range is used to test technology speed. The presented modulators have a small area and low power consumption. A modulator is ported from a 65nm to a 45nm technology in one month without making changes to the unit cells, or IP architecture, proving that this design methodology leads to very portable designs. The generalized system property categorization in quality indicators, and the digitization at different levels of system design, is named the digital design methodology. In this thesis this methodology is successfully applied to S¿ modulators, leading to high quality, mixed-signal S¿ modulator IP, which is more accurate, more robust, more flexible and/or more efficient

A survey on continuous-time modulators : theory, designs and implementations

Recently, delta-sigma modulation has become a widely applied technique for high-performance analog-to-digital conversion of narrow-band signals. Most of the early designs used discrete-time structure for good accuracy and good linearity. The transfer functions are independent of the clock frequency. However, high unity-gain bandwidths of the opamps are required to satisfy the settling accuracy required in the discrete-time designs. Continuous-time structure can potentially achieve higher clock frequency with less power consumption. the anti-aliasing filter can also be eliminated due to the anti-aliasing property of CT modulators. On the other hand, CT ADC have their own problems, such as jitter sensitivity and excess loop delay. In this thesis, the state-of-the-art of CT modulator is reviewed. The problems in the design of CT ADCs are analyzed and solutions to them are described. The theory, design and implementations of CT modulator will also be reviewed.Keywords: Continuous-Time, Delta-Sigm