739 research outputs found
Comparison of Simulation Methods of Single and Multi-Bit Continuous Time Sigma Delta Modulators
Continuous time Sigma Delta Modulators (CT ÎŁÎMs) are a type of analog to digital converter (ADC) that are used in mixed signal systems to convert analog signals into digital signals. ADCs typically require antialiasing filter; however antialiasing filters are inherent in CT ÎŁÎMs, and therefore they require less circuitry and less power than other ADC architectures that require separate antialiasing filters. As a result, CT ÎŁÎM ADC architectures are preferred in many mixed signal electronic applications.
Because of the mixed signal nature of CT ÎŁÎMs, they can be difficult to simulate. In this thesis, various methods for simulating single-bit and multi-bit CT ÎŁÎMs are developed and these simulations include the bilinear transform or trapezoidal integration, impulse invariance transform, midpoint integration, Simpsonâs rule, delta transform or Eulerâs forward integration rule and Simulink modeling. These methods are compared with respect to speed which is given by the total simulation time, accuracy which is given by the signal to noise ratio (SNR) value and the simplicity of the simulation method. The CT ÎŁÎMs have been extended from first order up to fifth order with one, two and three bit quantizers. Also, the frequency domain analysis is done for all the orders of CT ÎŁÎMs.
The results show that the numerical integration methods are more accurate and faster than Simulink. However, CT ÎŁÎM simulations using Simulink are simpler because of the availability of the required blocks in Simulink. The overall comparison shows that the numerical integration methods can perform better than Simulink models. The frequency domain analysis proves the correctness of the use of numerical integration methods for CT ÎŁÎM simulations
Design and implementation of a wideband sigma delta ADC
Abstract. High-speed and wideband ADCs have become increasingly important in response to the growing demand for high-speed wireless communication services. Continuous time sigma delta modulators (CTÆ©âM), well-known for their oversampling and noise shaping properties, offer a promising solution for low-power and high-speed design in wireless applications.
The objective of this thesis is to design and implement a wideband CTÆ©âM for a global navigation satellite system(GNSS) receiver. The targeted modulator architecture is a 3rdorder single-bit CTÆ©âM, specifically designed to operate within a 15 MHz signal bandwidth. With an oversampling ratio of 25, the ADCâs sampling frequency is set at 768 MHz. The design goal is to achieve a theoretical signal to noise ratio (SNR) of 55 dB.
This thesis focuses on the design and implementation of the CTÆ©âM, building upon the principles of a discrete time Æ©â modulator, and leveraging system-level simulation and formulations. A detailed explanation of the coefficient calculation procedure specific to CTÆ©â modulators is provided, along with a "top-down" design approach that ensures the specified requirements are met. MATLAB scripts for coefficient calculation are also included. To overcome the challenges associated with the implementation of CTÆ©â modulators, particularly excess loop delay and clock jitter sensitivity, this thesis explores two key strategies: the introduction of a delay compensation path and the utilization of a finite impulse response (FIR) feedback DAC. By incorporating a delay compensation path, the stability of the modulator can be ensured and its noise transfer function (NTF) can be restored. Additionally, the integration of an FIR feedback DAC addresses the issue of clock jitter sensitivity, enhancing the overall performance and robustness of the CTÆ©âM.
The CTÆ©âMs employ the cascade of integrators with feed forward (CIFF) and cascade of integrators with feedforward and feedback (CIFF-B) topologies, with a particular emphasis on the CIFF-B configuration using 22nm CMOS technology node and a supply voltage of 0.8 V. Various simulations are performed to validate the modulatorâs performance. The simulation results demonstrate an achievable SNR of 55 dB with a power consumption of 1.36 mW. Furthermore, the adoption of NTF zero optimization techniques enhances the SNR to 62 dB.Laajakaistaisen jatkuva-aikaisen sigma delta-AD-muuntimen suunnittelu ja toteutus. TiivistelmĂ€. Nopeat ja laajakaistaiset AD-muuntimet ovat tulleet entistĂ€ tĂ€rkeĂ€mmiksi nopeiden langattomien kommunikaatiopalvelujen kysynnĂ€n kasvaessa. Jatkuva-aikaiset sigma delta -modulaattorit (CTÆ©âM), joissa kĂ€ytetÀÀn ylinĂ€ytteistystĂ€ ja kohinanmuokkausta, tarjoavat lupaavan ratkaisun matalan tehonkulutuksen ja nopeiden langattomien sovellusten suunnitteluun.
TĂ€mĂ€n työn tarkoituksena on suunnitella ja toteuttaa laajakaistainen jatkuva -aikainen sigma delta -modulaattori satelliittipaikannusjĂ€rjestelmien (GNSS) vastaanottimeen. Arkkitehtuuriltaan modulaattori on kolmannen asteen 1-bittinen CTÆ©âM, jolla on 15MHz:n signaalikaistanleveys. YlinĂ€ytteistyssuhde on 25 ja AD muuntimen nĂ€ytteistystaajuus 768 MHz. Tavoitteena on saavuttaa teoreettinen 55 dB signaalikohinasuhde (SNR).
TĂ€mĂ€ työ keskittyy jatkuva-aikaisen sigma delta -modulaattorin suunnitteluun ja toteutukseen, perustuen diskreettiaikaisen Æ©â-modulaattorin periaatteisiin ja systeemitason simulointiin ja mallitukseen. Jatkuva-aikaisen sigma delta -modulaattorin kertoimien laskentamenetelmĂ€ esitetÀÀn yksityiskohtaisesti, ja vaatimusten tĂ€yttyminen varmistetaan âtop-downâ -suunnitteluperiaatteella. LiitteenĂ€ on kertoimien laskemiseen kĂ€ytetty MATLAB-koodi. Jatkuva-aikaisten sigma delta -modulaattoreiden erityishaasteiden, liian pitkĂ€n silmukkaviiveen ja kellojitterin herkkyyden, voittamiseksi tutkitaan kahta strategiaa, viiveen kompensointipolkua ja FIR takaisinkytkentĂ€ -DA muunninta. Viivekompensointipolkua kĂ€yttĂ€mĂ€llĂ€ modulaattorin stabiilisuus ja kohinansuodatusfunktio saadaan varmistettua ja korjattua. LisĂ€ksi FIR takaisinkytkentĂ€ -DA-muuntimen kĂ€yttö pienentÀÀ kellojitteriherkkyyttĂ€, parantaen jatkuva aikaisen sigma delta -modulaattorin kokonaissuorituskykyĂ€ ja luotettavuutta.
Toteutetuissa jatkuva-aikaisissa sigma delta -modulaattoreissa on kytketty perÀkkÀin integraattoreita myötÀkytkentÀrakenteella (CIFF) ja toisessa sekÀ myötÀ- ettÀ takaisinkytkentÀrakenteella (CIFF-B). PÀÀhuomio on CIFF-B rakenteessa, joka toteutetaan 22nm CMOS prosessissa kÀyttÀen 0.8 voltin kÀyttöjÀnnitettÀ. Suorityskyky varmistetaan erilaisilla simuloinneilla, joiden perusteella 55 dB SNR saavutetaan 1.36 mW tehonkulutuksella. LisÀksi kohinanmuokkausfunktion optimoinnilla SNR saadaan nostettua 62 desibeliin
Adaptive design of delta sigma modulators
In this thesis, a genetic algorithm based on differential evolution (DE) is used to generate delta sigma modulator (DSM) noise transfer functions (NTFs). These NTFs outperform those generated by an iterative approach described by Schreier and implemented in the delsig Matlab toolbox. Several lowpass and bandpass DSMs, as well as DSM\u27s designed specifically for and very low intermediate frequency (VLIF) receivers are designed using the algorithm developed in this thesis and compared to designs made using the delsig toolbox. The NTFs designed using the DE algorithm always have a higher dynamic range and signal to noise ratio than those designed using the delsig toolbox
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
Micromechanical resonator based bandpass sigma-delta modulator
Master'sMASTER OF ENGINEERIN
High Performance Integrated Circuit Blocks for High-IF Wideband Receivers
Due to the demand for highâperformance radio frequency (RF) integrated circuit
design in the past years, a systemâonâchip (SoC) that enables integration of analog and
digital parts on the same die has become the trend of the microelectronics industry. As
a result, a major requirement of the next generation of wireless devices is to support
multiple standards in the same chipâset. This would enable a single device to support
multiple peripheral applications and services.
Based on the aforementioned, the traditional superheterodyne frontâend
architecture is not suitable for such applications as it would require a complete receiver
for each standard to be supported. A more attractive alternative is the highintermediate
frequency (IF) radio architecture. In this case the signal is digitalized at an
intermediate frequency such as 200MHz. As a consequence, the baseband operations,
such as downâconversion and channel filtering, become more power and area efficient
in the digital domain. Such architecture releases the specifications for most of the frontâend building blocks, but the linearity and dynamic range of the ADC become the
bottlenecks in this system. The requirements of large bandwidth, high frequency and
enough resolution make such ADC very difficult to realize. Many ADC architectures
were analyzed and ContinuousâTime Bandpass SigmaâDelta (CTâBPâÎŁÎ) architecture was
found to be the most suitable solution in the highâIF receiver architecture since they
combine oversampling and noise shaping to get fairly high resolution in a limited
bandwidth.
A major issue in continuousâtime networks is the lack of accuracy due to powervoltageâ
temperature (PVT) tolerances that lead to over 20% pole variations compared
to their discreteâtime counterparts. An optimally tuned BP ÎŁÎ ADC requires correcting
for center frequency deviations, excess loop delay, and DAC coefficients. Due to these
undesirable effects, a calibration algorithm is necessary to compensate for these
variations in order to achieve high SNR requirements as technology shrinks.
In this work, a novel linearization technique for a Wideband LowâNoise
Amplifier (LNA) targeted for a frequency range of 3â7GHz is presented. Postâlayout
simulations show NF of 6.3dB, peak S21 of 6.1dB, and peak IIP3 of 21.3dBm,
respectively. The power consumption of the LNA is 5.8mA from 2V.
Secondly, the design of a CMOS 6th order CT BPâÎŁÎ modulator running at 800
MHz for HighâIF conversion of 10MHz bandwidth signals at 200 MHz is presented. A
novel transconductance amplifier has been developed to achieve high linearity and high
dynamic range at high frequencies. A 2âbit quantizer with offset cancellation is alsopresented. The sixthâorder modulator is implemented using 0.18 um TSMC standard
analog CMOS technology. Postâlayout simulations in cadence demonstrate that the
modulator achieves a SNDR of 78 dB (~13 bit) performance over a 14MHz bandwidth.
The modulatorâs static power consumption is 107mW from a supply power of ± 0.9V.
Finally, a calibration technique for the optimization of the Noise Transfer
Function CT BP ÎŁÎ modulators is presented. The proposed technique employs two test
tones applied at the input of the quantizer to evaluate the noise transfer function of
the ADC, using the capabilities of the Digital Signal Processing (DSP) platform usually
available in mixedâmode systems. Once the ADC output bit stream is captured,
necessary information to generate the control signals to tune the ADC parameters for
best SignalâtoâQuantization Noise Ratio (SQNR) performance is extracted via Leastâ
Mean Squared (LMS) softwareâbased algorithm. Since the two tones are located
outside the band of interest, the proposed global calibration approach can be used
online with no significant effect on the inâband content
Quantization noise analysis of a closed-loop PWM controller that includes ÎŁ-Î modulation
ÎŁ-Î modulation is a popular noise shaping technique which is used to move the quantization noise out of the frequency band of interest. Recently, a number of authors have applied this technique to a pulse width modulation (PWM) controller for switching power converters. However, previous analysis has not incorporated the effects of analog-to-digital converter (ADC) resolution or feedback control on the ÎŁ-Î modulator. In this work, quantization due to ADC resolution and PWM resolution are analyzed, considering the effects of noise-shaping and feedback. A number of simulations have been performed to explore the impact of various design choices on output noise. The study variables included the order of the ÎŁ-Î modulator, resolution of ADC, resolution of DPWM, the plant and the compensator. The theoretical model developed is used to generate the expected system Power Spectral Density (PSD) curves for each design choice and simulations techniques are used to validate the analysis. Experimental analysis has been performed on a digital voltage-mode control (VMC) synchronous buck converter and the output voltage PSD curves are generated using the welch method and compared with the theoretical and the simulation results. The experimental PSD curves for the 1st-order modulator match the simulation and theoretical PSD curves. This suggests that the theoretical model is a useful approximation and similar methods can be used to analyze the contribution of the quantizers to the output noise of a closed-loop controller system --Abstract, page iii
Regulation theory: review and digital regulation
This paper reviews system modelling and regulation loops design. Continuous and discrete time domains are presented. The concept of discrete time model is introduced and the choice of the sampling frequency is highlighted. This approach takes advantage of the digital controllerâs capacity to treat complex algorithms. A general method to decouple multiinput, multi-output systems is described and illustrated with the LHC inner triplet powering system
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Design techniques for wideband low-power Delta-Sigma analog-to-digital converters
Delta-Sigma (ÎÎŁ) analog-to-digital converters (ADCs) are traditionally used in high quality audio systems, instrumentation and measurement (I&M) and biomedical devices. With the continued downscaling of CMOS technology, they are becoming popular in wideband applications such as wireless and wired communication systems,high-definition television and radar systems. There are two general realizations of a ÎÎŁ modulator. One is based on the discrete-time (DT) switched-capacitor (SC) circuitry and the other employs continuous-time (CT) circuitry. Compared to a CT
structure, the DT ÎÎŁ ADC is easier to analyze and design, is more robust to process variations and jitter noise, and is more flexible in the multi-mode applications. On the other hand, the CT ÎÎŁ ADC does not suffer from the strict settling accuracy requirement for the loop filter and thus can achieve lower power dissipation and higher sampling frequency than its DT counterpart.
In this thesis, both DT and CT ÎÎŁ ADCs are investigated. Several design innovations, in both system-level and circuit-level, are proposed to achieve lower power consumption and wider signal bandwidth.
For DT ÎÎŁ ADCs, a new dynamic-biasing scheme is proposed to reduce opamp bias current and the associated signal-dependent harmonic distortion is minimized by using the low-distortion architecture. The technique was verified in a 2.5MHz BW and 13bit dynamic range DT ÎÎŁ ADC. In addition, a second-order noise coupling technique is presented to save two integrators for the loop filter, and to achieve low power dissipation. Also, a direct-charge-transfer (DCT) technique is suggested to reduce the speed requirements of the adder, which is also preferable in wideband low-power applications.
For CT ÎÎŁ ADCs, a wideband low power CT 2-2 MASH has been designed. High linearity performance was achieved by using a modified low-distortion technique, and the modulator achieves higher noise-shaping ability than the single stage structure due to the inter-stage gain. Also, the quantization noise leakage due to analog circuit non-idealities can be adaptively compensated by a designed digital calibration filter. Using a 90nm process, simulation of the modulator predicts a 12bit resolution within 20MHz BW and consumes only 25mW for analog circuitry. In addition, the noise-coupling technique is investigated and proposed for the design of CT ÎÎŁ ADCs and it is promising to achieve low power dissipation for wideband applications.
Finally, the application of noise-coupling technique is extended and introduced to high-accuracy incremental data converters. Low power dissipation can be expected
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