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

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 (CTƩ∆M), 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 CTƩ∆M for a global navigation satellite system(GNSS) receiver. The targeted modulator architecture is a 3rdorder single-bit CTƩ∆M, specifically designed to operate within a 15 MHz signal bandwidth. With an oversampling ratio of 25, the ADC’s 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 CTƩ∆M, building upon the principles of a discrete time Ʃ∆ modulator, and leveraging system-level simulation and formulations. A detailed explanation of the coefficient calculation procedure specific to CTƩ∆ 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 CTƩ∆ 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 CTƩ∆M. The CTƩ∆Ms 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 modulator’s 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. Tiivistelmä. Nopeat ja laajakaistaiset AD-muuntimet ovat tulleet entistä tärkeämmiksi nopeiden langattomien kommunikaatiopalvelujen kysynnän kasvaessa. Jatkuva-aikaiset sigma delta -modulaattorit (CTƩ∆M), joissa käytetään ylinäytteistystä ja kohinanmuokkausta, tarjoavat lupaavan ratkaisun matalan tehonkulutuksen ja nopeiden langattomien sovellusten suunnitteluun. Tämän työn tarkoituksena on suunnitella ja toteuttaa laajakaistainen jatkuva -aikainen sigma delta -modulaattori satelliittipaikannusjärjestelmien (GNSS) vastaanottimeen. Arkkitehtuuriltaan modulaattori on kolmannen asteen 1-bittinen CTƩ∆M, jolla on 15MHz:n signaalikaistanleveys. Ylinäytteistyssuhde on 25 ja AD muuntimen näytteistystaajuus 768 MHz. Tavoitteena on saavuttaa teoreettinen 55 dB signaalikohinasuhde (SNR). Tämä työ keskittyy jatkuva-aikaisen sigma delta -modulaattorin suunnitteluun ja toteutukseen, perustuen diskreettiaikaisen Ʃ∆-modulaattorin periaatteisiin ja systeemitason simulointiin ja mallitukseen. Jatkuva-aikaisen sigma delta -modulaattorin kertoimien laskentamenetelmä esitetään yksityiskohtaisesti, ja vaatimusten täyttyminen varmistetaan “top-down” -suunnitteluperiaatteella. Liitteenä on kertoimien laskemiseen käytetty MATLAB-koodi. Jatkuva-aikaisten sigma delta -modulaattoreiden erityishaasteiden, liian pitkän silmukkaviiveen ja kellojitterin herkkyyden, voittamiseksi tutkitaan kahta strategiaa, viiveen kompensointipolkua ja FIR takaisinkytkentä -DA muunninta. Viivekompensointipolkua käyttämällä modulaattorin stabiilisuus ja kohinansuodatusfunktio saadaan varmistettua ja korjattua. Lisäksi FIR takaisinkytkentä -DA-muuntimen käyttö pienentää kellojitteriherkkyyttä, parantaen jatkuva aikaisen sigma delta -modulaattorin kokonaissuorituskykyä ja luotettavuutta. Toteutetuissa jatkuva-aikaisissa sigma delta -modulaattoreissa on kytketty peräkkäin integraattoreita myötäkytkentärakenteella (CIFF) ja toisessa sekä myötä- että takaisinkytkentärakenteella (CIFF-B). Päähuomio on CIFF-B rakenteessa, joka toteutetaan 22nm CMOS prosessissa käyttäen 0.8 voltin käyttöjännitettä. Suorityskyky varmistetaan erilaisilla simuloinneilla, joiden perusteella 55 dB SNR saavutetaan 1.36 mW tehonkulutuksella. Lisäksi kohinanmuokkausfunktion optimoinnilla SNR saadaan nostettua 62 desibeliin

Design of a wideband low-power continuous-time sigma-delta (ΣΔ) analog-to-digital converter (ADC) in 90nm CMOS technology

The growing trend in VLSI systems is to shift more signal processing functionality from analog to digital domain to reduce manufacturing cost and improve reliability. It has resulted in the demand for wideband high-resolution analog-to-digital converters (ADCs). There are many different techniques for doing analog-to-digital conversions. Oversampling ADC based on sigma-delta (ΣΔ) modulation is receiving a lot of attention due to its significantly relaxed matching requirements on analog components. Moreover, it does not need a steep roll-off anti-aliasing filter. A ΣΔ ADC can be implemented either as a discrete time system or a continuous time one. Nowadays growing interest is focused on the continuous-time ΣΔ ADC for its use in the wideband and low-power applications, such as medical imaging, portable ultrasound systems, wireless receivers, and test equipments. A continuous-time ΣΔ ADC offers some important advantages over its discrete-time counterpart, including higher sampling frequency, intrinsic anti-alias filtering, much relaxed sampling network requirements, and low-voltage implementation. Especially it has the potential in achieving low power consumption. This dissertation presents a novel fifth-order continuous-time ΣΔ ADC which is implemented in a 90nm CMOS technology with single 1.0-V power supply. To speed up design process, an improved direct design method is proposed and used to design the loop filter transfer function. To maximize the in-band gain provided by the loop filter, thus maximizing in-band noise suppression, the excess loop delay must be kept minimum. In this design, a very low latency 4-bit flash quantizer with digital-to-analog (DAC) trimming is utilized. DAC trimming technique is used to correct the quantizer offset error, which allows minimum-sized transistors to be used for fast and low-power operation. The modulator has sampling clock of 800MHz. It achieves a dynamic range (DR) of 75dB and a signal-to-noise-and-distortion ratio (SNDR) of 70dB over 25MHz input signal bandwidth with 16.4mW power dissipation. Our work is among the most improved published to date. It uses the lowest supply voltage and has the highest input signal bandwidth while dissipating the lowest power among the bandwidths exceeding 15MHz

A 2 GHz Bandpass Analog to Digital Delta-sigma Modulator for CDMA Receivers with 79 DB Dynamic Range in 1.23 MHz Bandwidth

This paper presents the design of a second-order single-bit analog-to-digital continuous-time delta-sigma modulator that can be used in wireless CDMA receivers. The continuous-time delta-sigma modulator samples at 2 GHz, consumes 18 mW at 1.8 V and has a 79-dB signal-to-noise ratio (SNR) over a 1.23-MHz bandwidth. The continuous-time delta-sigma modulator was fabricated in a 0.18- m 1-poly 6-metal, CMOS technology and has an active area of approximately 0.892 mm2 . The delta-sigma modulator\u27s critical performance specifications are derived from the CDMA receiver specifications

Comparison of Simulation Methods of Single and Multi-Bit Continuous Time Sigma Delta Modulators

Continuous time Sigma Delta Modulators (CT ΣΔMs) 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 ΣΔMs, and therefore they require less circuitry and less power than other ADC architectures that require separate antialiasing filters. As a result, CT ΣΔM ADC architectures are preferred in many mixed signal electronic applications. Because of the mixed signal nature of CT ΣΔMs, they can be difficult to simulate. In this thesis, various methods for simulating single-bit and multi-bit CT ΣΔMs are developed and these simulations include the bilinear transform or trapezoidal integration, impulse invariance transform, midpoint integration, Simpson’s rule, delta transform or Euler’s 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 ΣΔMs 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 ΣΔMs. The results show that the numerical integration methods are more accurate and faster than Simulink. However, CT ΣΔM 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 ΣΔM simulations

Design of a 14-bit fully differential discrete time delta-sigma modulator

Analog to digital converters play an essential role in modern mixed signal circuit design. Conventional Nyquist-rate converters require analog components that are precise and highly immune to noise and interference. In contrast, oversampling converters can be implemented using simple and high-tolerance analog components. Moreover, sampling at high frequency eliminates the need for abrupt cutoffs in the analog anti-aliasing filters. A noise shaping technique is also used in DS converters in addition to oversampling to achieve a high resolution conversion. A significant advantage of the method is that analog signals are converted using simple and high-tolerance analog circuits, usually a 1-bit comparator, and analog signal processing circuits having a precision that is usually much less than the resolution of the overall converter. In this thesis, a technique to design the discrete time DS converters for 25 kHz baseband signal bandwidth will be described. The noise shaping is achieved using a switched capacitor low-pass integrator around the 1-bit quantizer loop. A latched-type comparator is used as the quantizer of the DS converter. A second order DS modulator is implemented in a TSMC 0.35 µm CMOS technology using a 3.3 V power supply. The peak signal-to-noise ratio (SNR) simulated is 87 dB; the SNDR simulated is 82 dB which corresponds to a resolution of 14 bits. The total static power dissipation is 6.6 mW

A Continuous-Time Delta-Sigma Modulator for Ultra-Low-Power Radios

The increasing need of digital signal processing for telecommunication and multimedia applications, implemented in complementary metal-oxide semiconductor (CMOS) technology, creates the necessity for high-resolution analog-to-digital converters (ADCs). Based on the sampling frequency, ADCs are of two types: Nyquist-rate converters and oversampling converters. Oversampling converters are preferred for low-bandwidth applications such as audio and instrumentation because they provide inherently high resolution when coupled with proper noise shaping. This allows to push noise out of signal band, thus increasing the signal-to-noise ratio (SNR). Continuous time delta-sigma ADCs are becoming more popular than discrete-time ADCs primarily because of inherent anti-aliasing filtering, reduced settling time and low-power consumption. In this thesis, a 2nd-order 4-bits continuous-time (CT) delta-sigma modulator (DSM) for radio applications is designed. It employs a 2nd-order loop filter with a single operational amplifier. Implemented in a 65-nanometer CMOS technology, the modulator runs on a 0.8-V supply and achieves a SNR of 70dB over a 500-kHz signal bandwidth. The modulator operates with an oversampling ratio (OSR) of 16 and a sampling frequency of 16MHz. In the first chapter the principles of ΔΣ modulators are analysed, introducing the differences between discrete-time (DT) modulators and continuous-time (CT) modulators. In the next chapter the techniques to design a ΔΣ modulators for ultra-low-power radios are presented. The third chapter talks over the design of the operational amplifier, which appears inside the loop filter. In the fourth chapter the performance of the complete ΔΣ modulator, which employs a flash quantizer, is shown. Finally, in the last chapter, a performance analysis is carried out replacing the flash quantizer with an asynchronous SAR quantizer. The analysis shows that a further reduction of the quantizer power consumption of about 40% is possible. The conjunction of this replacement with the power-saving technique implemented in the loop filter appears relevant

First order sigma-delta modulator of an oversampling ADC design in CMOS using floating gate MOSFETS

We report a new architecture for a sigma-delta oversampling analog-to-digital converter (ADC) in which the first order modulator is realized using the floating gate MOSFETs at the input stage of an integrator and the comparator. The first order modulator is designed using an 8 MHz sampling clock frequency and implemented in a standard 1.5µm n-well CMOS process. The decimator is an off-chip sinc-filter and is programmed using the VERILOG and tested with Altera Flex EPF10K70RC240 FPGA board. The ADC gives an 8-bit resolution with a 65 kHz bandwidth