Highly linear 2.5-V CMOS /spl Sigma//spl Delta/ modulator for ADSL+

We present a 90-dB spurious-free dynamic range sigma-delta modulator (/spl Sigma//spl Delta/M) for asymmetric digital subscriber line applications (both ADSL and ADSL+), with up to a 4.4-MS/s digital output rate. It uses a cascade (MASH) multibit architecture and has been implemented in a 2.5-V supply, 0.25-/spl mu/m CMOS process with metal-insulator-metal capacitors. The prototypes feature 78-dB dynamic range (DR) in the 30-kHz to 2.2-MHz band (ADSL+) and 85-dB DR in the 30-kHz to 1.1-MHz band (ADSL). Integral and differential nonlinearity are within /spl plusmn/0.85 and /spl plusmn/0.80 LSB/sub 14 b/, respectively. The /spl Sigma//spl Delta/ modulator and its auxiliary blocks (clock phase and reference voltage generators, and I/O buffers) dissipate 65.8 mW. Only 55 mW are dissipated in the /spl Sigma//spl Delta/ modulator.     

Hybrid /spl Sigma//spl Delta/ modulators with adaptive calibration

This paper describes an architecture for stable high-order /spl Sigma//spl Delta/ modulation. The architecture is based on a hybrid /spl Sigma//spl Delta/ modulator, wherein hybrid integrators replace conventional analog integrators. The hybrid integrator, which is a combination of an analog integrator and a digital integrator, offers an increased dynamic range and helps make the resulting high-order /spl Sigma//spl Delta/ modulator stable. However, the hybrid /spl Sigma//spl Delta/ modulator relies on precise matching of analog and digital paths. In this paper, a calibration technique to alleviate possible mismatch between analog and digital paths is proposed. The calibration adaptively adjusts the digital integrators so that their transfer functions match the transfer functions of corresponding analog integrators. Through behavioral-level simulations of fourth-order /spl Sigma//spl Delta/ modulators, the calibration technique is verified.     

A time-delay jitter-insensitive continuous-time bandpass /spl Delta//spl Sigma/ modulator architecture

In this paper, we present a new continuous-time bandpass delta-sigma (/spl Delta//spl Sigma/) modulator architecture with mixer inside the feedback loop. The proposed bandpass /spl Delta//spl Sigma/ modulator is insensitive to time-delay jitter in the digital-to-analog conversion feedback pulse, unlike conventional continuous-time bandpass /spl Delta//spl Sigma/ modulators. The sampling frequency of the proposed /spl Delta//spl Sigma/ modulator can be less than the center frequency of the input narrow-band signal.     

A 1-MHz-bandwidth second-order continuous-time quadrature bandpass sigma-delta modulator for low-IF radio receivers

This paper presents a quadrature bandpass /spl Sigma//spl Delta/ modulator with continuous-time architecture. Due to the continuous-time architecture and the inherent anti-aliasing filter, the proposed /spl Sigma//spl Delta/ modulator needs no additional anti-aliasing filter in front of the modulator in contrast to quadrature bandpass /spl Sigma//spl Delta/ modulators with switched-capacitor architectures. The second-order /spl Sigma//spl Delta/ modulator digitizes complex analog I/Q input signals at 1-MHz intermediate frequency and operates within a clock frequency range of 25-100 MHz. The modulator chip achieves a peak signal-to-noise-distortion ratio (SNDR) of 56.7 dB and a dynamic range of 63.8 dB within a 1-MHz signal bandwidth and at a clock frequency of 100 MHz. Furthermore, it provides an image rejection of at least 40 dB. The 0.65-/spl mu/m BiCMOS chip consumes 21.8 mW at 2.7-V supply voltage.     

Characterizing the effects of the PLL jitter due to substrate noise in discrete-time delta-sigma modulators

This paper investigates the impact of clock jitter induced by substrate noise on the performance of the oversampling /spl Delta//spl Sigma/ modulators. First, a new stochastic model for substrate noise is proposed. This model is then utilized to study the clock jitter in clock generators incorporating phase-locked loops (PLLs). Next, the effect of the clock jitter on the performance of the /spl Delta//spl Sigma/ modulator is studied. It will be shown that substrate noise degrades the signal-to-noise ratio of the /spl Delta//spl Sigma/ modulator while the noise shaping does not have any effect on clock jitter induced by substrate noise. To verify the analysis experimentally, a circuit consisting of a second-order /spl Delta//spl Sigma/ modulator, a charge-pump PLL, and forty multistage digital tapered inverters driving 1-pF capacitors is designed in a 0.25-/spl mu/m standard CMOS process. Several experiments on the designed circuit demonstrate the high accuracy of the proposed analytical models.     

Low-power low-voltage CMOS A/D sigma-delta modulator for bio-potential signals driven by a single-phase scheme

Since the 1970's, the analog switches in switched-capacitor (SC) circuits are operated by nonoverlapping bi-phase control signals (/spl phi//sub 1/, /spl phi//sub 2/). The nonoverlapping of these two phases is essential for successful SC operation since, a capacitor inside an SC circuit can discharge if two switches, driven by /spl phi//sub 1/ and /spl phi//sub 2/, are turned on simultaneously. Moreover, since 1983, two additional phases are generally used in many SC circuits, which consist of advanced versions of /spl phi//sub 1/ and /spl phi//sub 2/. These two additional phases overcome the problem of signal-dependent charge injection. This paper presents a low-power and low-voltage analog-to-digital (A/D) interface module for biomedical applications. This module provides an A/D conversion based on a mixed clock-boosting/switched-opamp (CB/SO) second-order sigma-delta (/spl Sigma//spl Delta/) modulator, capable of interfacing with several different types electrical signals existing in the human body, only by re-programming the output digital filter. The proposed /spl Sigma//spl Delta/ architecture employs a novel single-phase scheme technique, which improves the dynamic performance and highly reduces the clocking circuitry complexity, substrate noise and area. Simulated results demonstrate that the signal integrity can be preserved by exploring the gap between the high conductance region of pMOS and nMOS switches at low power-supply voltages and the fast clock transitions that exist in advanced CMOS technologies. The mixed CB/SO architecture together with the overall distortion reduction resulting from using the proposed single-phase scheme, result that the dynamic range of the modulator is pushed closer to the theoretical limit of an ideal second-order /spl Sigma//spl Delta/ modulator.     

A CMOS 110-dB@40-kS/s programmable-gain chopper-stabilized third-order 2-1 cascade sigma-delta Modulator for low-power high-linearity automotive sensor ASICs

This paper describes a 0.35-/spl mu/m CMOS chopper-stabilized switched-capacitor 2-1 cascade /spl Sigma//spl Delta/ modulator for automotive sensor interfaces. The modulator architecture has been selected from an exhaustive comparison among multiple topologies in terms of resolution, speed and power dissipation. To obtain a better fitting with the characteristics of different sensor outputs, the circuit can be digitally programmed to yield four input-to-output gain values (/spl times/0.5,/spl times/1,/spl times/2, and /spl times/4) and has been designed to operate within the stringent environmental conditions of automotive electronics (temperature range of -40/spl deg/C to 175/spl deg/C). In order to relax the amplifier's dynamic requirements for the different modulator input-to-output gains, switchable capacitor arrays are used for all the capacitors in the first integrator. The design of the building blocks is based on a top-down CAD methodology which combines simulation and statistical optimization at different levels of the modulator hierarchy. The circuit is clocked at 5.12 MHz and the overall power consumption is 14.7 mW from a single 3.3-V supply and occupies 5.7 mm/sup 2/ silicon area. Experimental results show a maximum SNR of 87.3 dB within a 20-kHz signal bandwidth and 90.7 dB for 10-kHz signals, and an overall DR of 110 and 113.8dB, respectively. These performance features place the reported circuit at the cutting edge of state-of-the-art high-resolution /spl Sigma//spl Delta/ modulators.     

Reconfigurable ADCs enable smart radios for 4G wireless connectivity

A reconfigurable ADC based on a 2-2 modified cascaded /spl Sigma//spl Delta/ modulator designed for a GSM/WCDMA/WLAN/WiMAX zero-IF receiver has been presented. Employing the second-order feedforward /spl Sigma//spl Delta/ modulator in a 2-2 modified cascaded configuration, a high linearity over 100 kHz/2 MHz/10 MHz signal bandwidth is achieved. The P-DWA technique is applied in the first feedback 4-b DAC to eliminate the spurious tones associated with the multibit DAC nonlinearity in the WLAN/WiMAX modes.     

Tunable continuous-time bandpass /spl Sigma//spl Delta/ modulators with fractional delays

An analytical design methodology for continuous-time (CT) bandpass (BP) /spl Sigma//spl Delta/ modulators is presented. Second- and fourth-order tunable continuous time BP /spl Sigma//spl Delta/ modulator design equations are presented. A novel /spl Sigma//spl Delta/ loop architecture, where the traditional CT BP loop filter function is replaced with the filter function with fractional delays, is proposed. Validity of the methodology is confirmed by mixed-signal behavioral simulations.     

A continuous-time sigma-delta modulator with 88-dB dynamic range and 1.1-MHz signal bandwidth

This paper presents the design and experimental results of a continuous-time /spl Sigma//spl Delta/ modulator for ADSL applications. Multibit nonreturn-to-zero (NRZ) DAC pulse shaping is used to reduce clock jitter sensitivity. The nonzero excess loop delay problem in conventional continuous-time /spl Sigma//spl Delta/ modulators is solved by our proposed architecture. A prototype third-order continuous-time /spl Sigma//spl Delta/ modulator with 5-bit internal quantization was realized in a 0.5-/spl mu/m double-poly triple-metal CMOS technology, with a chip area of 2.4 /spl times/ 2.4 mm/sup 2/. Experimental results show that the modulator achieves 88-dB dynamic range, 84-dB SNR, and 83-dB SNDR over a 1.1-MHz signal bandwidth with an oversampling ratio of 16, while dissipating 62 mW from a 3.3-V supply.     

Design of double-sampling /spl Sigma//spl Delta/ modulation A/D converters with bilinear integrators

Double-sampling techniques allow to double the sampling frequency of a switched capacitor /spl Sigma//spl Delta/ analog-to-digital convertors without increasing the clock frequency. Unfortunately, path mismatch between the double sampling branches may cause noise folding, which could ruin the modulator's performance. The fully floating double-sampling integrator is an interesting building block to be used in such a double sampling /spl Sigma//spl Delta/ modulator because its operation is tolerant to path mismatch. However, this circuit exhibits an undesired bilinear filter effect. This effectively increases the order of the modulator by one. Due to this, previously presented structures don't have enough freedom to fully control the modulator pole positions. In this paper, we introduce modified topologies for double-sampling /spl Sigma//spl Delta/ modulators built with bilinear integrators. We show that these architectures provide full control of the modulator pole positions and hence can be used to implement any noise transfer function. Additionally, analytical expressions are obtained for the residual folded noise.     

Continuous-time /spl Delta//spl Sigma/ modulators using distributed resonators

We derive a method for using distributed resonators in /spl Delta//spl Sigma/ modulators and demonstrate these /spl Delta//spl Sigma/ modulators have several advantages over existing /spl Delta//spl Sigma/ modulator architectures. Like continuous-time (CT) /spl Delta//spl Sigma/ modulators, the proposed /spl Delta//spl Sigma/ modulators do not require a high-precision track-and-hold, and additionally can take advantage of the high-Q of distributed resonators. Like discrete-time /spl Delta//spl Sigma/ modulators, the proposed /spl Delta//spl Sigma/ modulators are relatively insensitive to feedback loop delays and can subsample. We present simulations of several types of these /spl Delta//spl Sigma/ modulators and examine the challenges in their design.     

A vertically integrated tool for automated design of /spl Sigma//spl Delta/ modulators

We present a tool that starting from high-level specifications of switched-capacitor (SC) /spl Sigma//spl Delta/ modulators calculates optimum specifications for their building blocks and then optimum sizes for the block schematics. At both design levels, optimization is performed using statistical techniques to enable global design and innovative heuristics for increased computer efficiency as compared with conventional statistical optimization. The tool uses an equation-based approach at the modulator level, a simulation-based approach at the cell level, and incorporates an advanced /spl Sigma//spl Delta/ behavioral simulator for monitoring and design space exploration. We include measurements taken from two silicon prototypes: (1) a 16 b @ 16 kHz output rate second-order /spl Sigma//spl Delta/ modulator; and (2) a 17 b @ 40 kHz output rate fourth-order /spl Sigma//spl Delta/ modulator. Both use SC fully differential circuits and were designed using the proposed tool and manufactured in a 1.2 /spl mu/m CMOS double-metal double-poly technology.<>     

A wide-band 280-MHz four-path time-interleaved bandpass sigma-delta modulator

This paper describes a 0.35-/spl mu/m CMOS fourth-order bandpass analog-digital sigma-delta (/spl Sigma//spl Delta/) modulator for wide-band base stations receivers. The modulator, based on a time-interleaved four-path architecture, achieves an equivalent sampling frequency of 280 MHz, although the building blocks operate at only 70 MHz. In measurements, the prototype chip achieves a dynamic range of 72 dB (12 bits of resolution) with a signal bandwidth of 4.375 MHz centered around an intermediate frequency of 70 MHz. The measured spurious-free dynamic range is 69 dB. The /spl Sigma//spl Delta/ modulator dissipates 480 mW from a 3.3-V supply, including voltage reference buffers and output pads with high-driving capabilities, and occupies 20 mm/sup 2/ of silicon area.     

High-level synthesis of switched-capacitor, switched-current and continuous-time /spl Sigma//spl Delta/ modulators using SIMULINK-based time-domain behavioral models

This paper presents a high-level synthesis tool for /spl Sigma//spl Delta/ modulators (/spl Sigma//spl Delta/Ms) that combines an accurate SIMULINK-based time-domain behavioral simulator with a statistical optimization core. Three different circuit techniques for the modulator implementation are considered: switched-capacitor, switched-current and continuous-time. The behavioral models of these circuits, that take into account the most critical limiting factors, have been incorporated into the SIMULINK environment by using S-function blocks, which drastically increase the computational efficiency. The precision of these models has been validated by electrical simulations using HSPICE and experimental measurements from several silicon prototypes. The combination of high accuracy, short CPU time and interoperability of different circuit models together with the efficiency of the optimization engine makes the proposed tool an advantageous alternative for /spl Sigma//spl Delta/M synthesis. The implementation on the well-known MATLAB/SIMULINK platform brings numerous advantages in terms of data manipulation, processing capabilities, flexibility and simulation with other electronic subsystems. Moreover, this is the first tool dealing with the synthesis of /spl Sigma//spl Delta/Ms using both discrete-time and continuous-time circuit techniques.     

A time-interleaved continuous-time /spl Delta//spl Sigma/ modulator with 20-MHz signal bandwidth

This paper presents the first implementation results for a time-interleaved continuous-time /spl Delta//spl Sigma/ modulator. The derivation of the time-interleaved continuous-time /spl Delta//spl Sigma/ modulator from a discrete-time /spl Delta//spl Sigma/ modulator is presented. With various simplifications, the resulting modulator has only a single path of integrators, making it robust to DC offsets. A time-interleaved by 2 continuous-time third-order low-pass /spl Delta//spl Sigma/ modulator is designed in a 0.18-/spl mu/m CMOS technology with an oversampling ratio of 5 at sampling frequencies of 100 and 200 MHz. Experimental results show that a signal-to-noise-plus-distortion ratio (SNDR) of 57 dB and a dynamic range of 60 dB are obtained with an input bandwidth of 10 MHz, and an SNDR of 49 dB with a dynamic range of 55 dB is attained with an input bandwidth of 20 MHz. The power consumption is 101 and 103 mW, respectively.     

Resonant tunnelling delta sigma modulator suitable for high-speed operation

A resonant tunnelling logic gate, monostable-bistable transition logic element (MOBILE), was used to test high frequency operation of the /spl Delta//spl Sigma/ modulator based on a frequency modulated intermediate signal. This /spl Delta//spl Sigma/ modulator has no feedback loop and is promising for high-speed operation. Good noise shaping characteristics over four decades were measured. This ideal noise shaping demonstrated that the MOBILE can work as an ideal quantiser.     

The tiling phenomenon in /spl Sigma//spl Delta/ modulation

The theoretical error signal analysis of a sigma-delta (/spl Sigma//spl Delta/) modulator is a difficult problem due to the presence of a nonlinear operation (the amplitude quantization) in a feedback loop. In this paper, new deterministic knowledge on the transfer function of a /spl Sigma//spl Delta/ modulator is established, thanks to some recently observed properties of its state variables. For a large class of typical /spl Sigma//spl Delta/ modulators with constant inputs, the state variables appear to remain in a tile. We show what characteristics in a /spl Sigma//spl Delta/ modulator are specifically responsible for this property and give some initial proof of it. Under a constant input, the tiling phenomenon has as fundamental consequence that the output is a fixed and memoryless modulo function of n successive integrated versions of the input. This gives the theoretical knowledge that the modulator has an equivalent feedforward circuit expression. We give some immediate theoretical consequences on error analysis including the case of time-varying inputs.     

A noise-shaped switching power supply using a delta-sigma modulator

A technique to reduce in-band tones in switch-mode power supplies is described. It takes advantage of the noise-shaping properties of the delta-sigma (/spl Delta//spl Sigma/) modulator to eliminate the spikes normally present in switching power supplies. A framework is introduced for comparing the conventional pulsewidth modulated (PWM) controller and this approach. A buck converter test circuit is constructed that is designed for a PWM controller clocked at 200 kHz and then substituted with a /spl Delta//spl Sigma/ modulator controller clocked at 400 kHz. The RMS noise power of the PWM controller is 14.9 mW compared to the rms noise power for the /spl Delta//spl Sigma/ modulator of 75.85 mW measured in a 2-MHz bandwidth. Although the /spl Delta//spl Sigma/ modulator rms noise power is higher, the noise floor is below the tones seen at the output of the PWM controller. A multibit /spl Delta//spl Sigma/ modulator controller, however, provides a significant reduction in the spectral output of the power supply. Values of 3.75 and 0.24 mW rms noise power are observed at the output of a 2-bit and 4-bit /spl Delta//spl Sigma/ modulator controller, respectively.     

IF-sampling fourth-order bandpass /spl Delta//spl Sigma/ modulator for digital receiver applications

Bandpass modulators sampling at high IFs (/spl sim/200 MHz) allow direct sampling of an IF signal, reducing analog hardware, and make it easier to realize completely software-programmable receivers. This paper presents the circuit design of and test results from a continuous-time tunable IF-sampling fourth-order bandpass /spl Delta//spl Sigma/ modulator implemented in InP HBT IC technology for use in a multimode digital receiver application. The bandpass /spl Delta//spl Sigma/ modulator is fabricated in AlInAs-GaInAs heterojunction bipolar technology with a peak unity current gain cutoff frequency (f/sub T/) of 130 GHz and a maximum frequency of oscillation (f/sub MAX/) of 130 GHz. The fourth-order bandpass /spl Delta//spl Sigma/ modulator consists of two bandpass resonators that can be tuned to optimize both wide-band and narrow-band operation. The IF is tunable from 140 to 210 MHz in this /spl Delta//spl Sigma/ modulator for use in multiple platform applications. Operating from /spl plusmn/5-V power supplies, the fabricated fourth-order /spl Delta//spl Sigma/ modulator sampling at 4 GSPS demonstrates stable behavior and achieves a signal-to-(noise + distortion) ratio (SNDR) of 78 dB at 1 MHz BW and 50 dB at 60 MHz BW. The average SNDR performance measured on over 250 parts is 72.5 dB at 1 MHz BW and 47.7 dB at 60 MHz BW.