Triangularly weighted zero-crossing detector providingΣΔ frequency-to-digital conversion

It is shown that for delta-sigma (ΣΔ) frequency-to-digital conversion (FDC) there is no need for a ΣΔ modulator, since a limited FM signal itself may be considered as an asynchronous ΣΔ bit-stream. By feeding the limited FM signal directly to a sinc² ΣΔ decimator, a triangularly weighted zero-crossing counter FDC is introduced, providing ΣΔ noise shaping. The results measured confirm the theory     

A CMOS analog front-end circuit for an FDM-based ADSL system

A CMOS analog front-end circuit for an FDM-based ADSL system is presented. The circuit contains all analog functions including AGC amplifiers, continuous-time band pass filters, ΣΔ AD/DA converters, and digital decimation and interpolation filters. On-chip automatic tuning of the bandpass filters provides more than 300% center frequency range with 1% frequency accuracy. The higher-order ΣΔ AD/DA converters achieve 12-b data conversion at 1.54 Msamples/s with an oversampling ratio of only 32. The 0.7 μm CMOS circuit measures 65 mm² and consumes 1.9 W from a single 5 V power supply     

A 10.7-MHz IF-to-baseband ΣΔ A/D conversion system forAM/FM radio receivers

ΣΔ modulation with integrated quadrature mixing is used for analog-to-digital (A/D) conversion-of a 10.7-MHz IF input signal in an AM/FM radio receiver. After near-zero IF mixing to a 165 kHz offset frequency, the I and Q signals are digitized by two fifth-order, 32 times oversampling continuous-time ΣΔ modulators. A prototype IC includes digital filters for decimation and the shift of the near-zero-IF to dc. The baseband output signal has maximum carrier-to-noise ratios of 94 dB in 9 kHz (AM) and 79 dB in 200 kHz (FM), with 97 and 82 dB dynamic range, respectively. The IM3 distance is 84 dB at full-scale A/D converter input signal. Including downconversion and decimation filtering, the IF A/D conversion system occupies 1.3 mm² in 0.25-μm standard digital CMOS. The ΣΔ modulators consume 8 mW from a 2.5-V supply voltage, and the digital filters consume 11 mW     

Quadrature bandpass ΔΣ modulation for digital radio

A quadrature bandpass ΔΣ modulator IC facilitates monolithic digital-radio-receiver design by allowing straightforward “complex A/D conversion” of an image reject mixer's I and Q, outputs. Quadrature bandpass ΔΣ modulators provide superior performance over pairs of real bandpass ΔΣ modulators in the conversion of complex input signals, using complex filtering embedded in ΔΣ loops to efficiently realize asymmetric noise-shaped spectra. The fourth-order prototype IC, clocked at 10 MHz, converts narrowband 3.75-MHz I and Q inputs and attains a dynamic range of 67 dB in 200-kHz (GSM) bandwidth, increasing to 71 and 77 dB in 100- and 30-kHz bandwidths, respectively. Maximum signal-to-noise plus distortion ratio (SNDR) in 200-kHz bandwidth is 62 dB. Power consumption is 130 mW at 5 V. Die size in a 0.8-μm CMOS process is 2.4×1.8 mm²      

A 13.5-b 1.2-V micropower extended counting A/D converter

This work presents a study of the extended counting technique for a 1.2-V micropower voice-band A/D converter. This extended counting technique is a blend of ΣΔ modulation with its high resolution but relatively low speed and algorithmic conversion with its higher speed but lower accuracy. To achieve this, the converter successively operates first as a first-order ΣΔ modulator to convert the most significant bits, and then the same hardware is used as an algorithmic converter to convert the remaining least significant bits. An experimental prototype was designed in 0.8-μm CMOS. With a 1.2-V power supply, it consumes 150 μW of power at a 16-kHz Nyquist sampling frequency. The measured peak S/(N+THD) was 80 dB and the dynamic range 82 dB. The converter core including the controller and all reconstruction logic occupies about 1.3×1 mm² of chip area. This is considerably less than a complete ΣΔ modulation A/D converter where the digital decimation filter would occupy a significant amount of chip area     

Multibit oversampled ΣΔ A/D converters as front end forCD players

A technique is presented for deriving all of the different control signals needed for focusing and radial tracking in a digital servosystem for compact disc (CD) players, as well as the full band data from the disc. Because of the different natures of all those signals, different bandwidth and dynamic range, complex analog anti-aliasing circuits, and several types of A/D (analog-to-digital) converters would normally be required to convert the signals from the analog to digital domain. With the proposed technique it is possible to carry out the conversion of the high-frequency data as well as the low-frequency control signals with only a single type of multibit sigma-delta (ΣΔ) A/D converter in combination with digital signal processing. The use of ΣΔ type A/D conversion also has other advantages such as its suitability for integration in a CMOS VLSI process and the fact that the requirements for the anti-aliasing filters in front of the converters are relaxed due to the oversampling technique     

The implementation of digital echo cancellation in codecs

The architecture of a codec in which the echo cancellation is done in two stages, an analog hybrid to reduce the echo level at the input of the A/D converter and a programmable digital balance filter, is presented. The design problems connected with this architecture, such as the signal-to-noise performance of the A/D converter and the limiting effects of the variation of the analog components on the echo cancellation performance of the device and on the structure of the digital balance filters, are discussed. These results were used in the design of a single-power-supply CMOS device implemented in 1.5-μm technology using ΣΔ modulation techniques for A/D and D/A conversion. Its echo cancellation performance is sufficiently high that only one set of coefficients per national standard is necessary     

A 13.5-mW 185-Msample/s ΔΣ modulator for UMTS/GSMdual-standard IF reception

A system-oriented approach for the design of a UMTS/GSM dual-standard ΔΣ modulator is presented to demonstrate the feasibility of achieving intermediate frequency (IF) around 100 MHz, high dynamic range, and low power consumption at the same time. The circuit prototype implements 78 MHz IF for GSM and 138.24 MHz for wideband code division multiple access (WCDMA), which are set to be 3/4 of the analog-to-digital converter sampling rate. A two-path IF sampling and mixing topology with a low-pass ΔΣ modulator, run at half the sampling rate, is used. Implemented in 0.25-μm CMOS, the circuit achieves dynamic range and peak signal-to-noise and distortion ratio for GSM of 86 and 72 dB, respectively. The corresponding values for WCDMA are 54 and 52 dB, respectively. Optimization is performed at all stages of design to minimize power consumption. The complete circuit consumes less than 11.5 mW for GSM and 13.5 mW for WCDMA at 2.5-V supply, of which 8 mW is due to the analog part     

A CMOS 0.8-μm transistor-only 1.63-MHz switched-current bandpassΣΔ modulator for AM signal A/D conversion

This paper presents a CMOS 0.8-μm switched-current (SI) fourth-order bandpass ΣΔ modulator (BP-ΣΔM) IC capable of handling signals up to 1.63 MHz with 105-bit resolution and 60-mW power consumption from a 5-V supply voltage. This modulator Is intended for direct A/D conversion of narrow-band signals within the commercial AM band, from 530 kHz to 1.6 MHz. Its architecture is obtained by applying a low-pass-to-bandpass transformation (z^-1 →-z^-2) to a 1-bit second-order low-pass ΣΔ modulator (LP-ΣΔM). The design of basic building blocks is based upon a detailed analysis of the influence of SI errors on the modulator performance, followed by design optimization. Memory-cell errors have been identified as the dominant ones. In order to attenuate these errors, fully differential regulated-folded cascode memory cells are employed. Measurements show a best SNR peak of 65 dB for signals of 10-kHz bandwidth and an intermediate frequency (IF) of 1.63 MHz. A correct noise-shaping filtering is achieved with a sampling frequency of up to 16 MHz     

An 81-MHz IF receiver in CMOS

An 81-MHz CMOS IF receiver for digital wireless applications is presented. The receiver consists of a continuous-time IF amplifier, a subsampling switched-capacitor gain stage, and a sixth-order bandpass ΣΔ A/D converter. Incorporating 24 dB of programmable gain, the receiver achieves 92 dB of dynamic range in a 200 kHz bandwidth. Due to its IF sampling nature, the reciever is immune to de offset, flicker noise, and errors due to mismatches between I and Q signal paths. By utilizing a pseudo two-path resonator architecture in the bandpass ΣΔ A/D converter, a stable passband center frequency which is immune to capacitor mismatch is achieved. Implemented in 0.8-μm CMOS, this chip uses a single 3 V supply and consumes 14.4 mW of power     

The design of sigma-delta modulation analog-to-digital converters

The author examines the practical design criteria for implementing oversampled analog/digital converters based on second-order sigma-delta (ΣΔ) modulation. Behavioral models that include representation of various circuit impairments are established for each of the functional building blocks comprising a second-order Σ2gD modulator. Extensive simulations based on these models are then used to establish the major design criteria for each of the building blocks. As an example, these criteria are applied to the design of a modulator that has been integrated in a 3-μm CMOS technology. An experimental prototype operates from a single 5-V supply, dissipates 12 mW, occupies an area of 0.77 mm², and has achieved a measured dynamic range of 89 dB     

A GMSK modulator using a ΔΣ frequencydiscriminator-based synthesizer

This paper describes a new transmitter architecture suitable for wideband GMSK modulation. The technique uses direct modulation of ΔΣ frequency discriminator (ΔΣFD)-based synthesizer to produce the modulated RF signal without any up-conversion. Digital equalization is used to extend the modulation data rate far beyond the synthesizer closed-loop BW. A prototype 1.9-GHz GSM transmitter was constructed consisting of a ΔΣFD-based synthesizer and a digital transmit filter. The synthesizer consists of an 0.8-μm BiCMOS ΔΣFD chip, a digital signal processor FPGA, and an off-chip D/A converter, filter, and VCO. Measured results, using 271-kbit/s GSM modulation, demonstrate data rates well in excess of the 30-kHz synthesizer closed-loop BW are possible with digital equalization. Without modulation, the synthesizer exhibits a -76-dBc spurious noise level and a close-in phase noise of -74 dBc/Hz     

A 14-bit current-mode ΣΔ DAC based upon rotated dataweighted averaging

A new dynamic element matching (DEM) algorithm, referred to as rotated data weighted averaging (RDWA), is implemented in a third-order ΣΔ digital-to-analog converter (DAC) with 64× oversampling and a conversion bandwidth of 25 kHz. The systematic and random errors are considered in the design of the 14-bit converter. The ΣΔ DAC is fabricated in a 2-μm CMOS process and includes the on-chip reconstruction filter. The prototype was designed to test the performance of the DAC without DEM, with data weighted averaging (DWA), and with RDWA. The results show that the new RDWA algorithm is capable of achieving first-order noise shaping while eliminating the signal-dependent harmonic distortion present in DWA     

A two-path bandpass ΣΔ modulator for digital IFextraction at 20 MHz

Oversampled bandpass A/D converters based on sigma-delta (ΣΔ) modulation can be used to robustly digitize the types of narrowband intermediate frequency (IF) signals that arise in radios and cellular systems. This paper proposes a two-path architecture for a fourth-order, bandpass modulator that is more tolerant of analog circuit limitations at high sampling speeds than conventional implementations based on the use of switched-capacitor biquadratic filters. An experimental prototype employing the two-path topology has been integrated in a 0.6-μm, single-poly, triple-metal CMOS technology with capacitors synthesized from a stacked metal structure. Two interleaved paths clocked at 40 MHz digitize a 200-kHz bandwidth signal centered at 20 MHz with 75 dB of dynamic range while suppressing the undesired mirror image signal by 42 dB. At low input signal levels, the mixing of spurious tones at DC and f_s/2 with the input appears to degrade the performance of the modulator; out-of-band sinusoidal dither is shown to be an effective means of avoiding this degradation. The experimental modulator dissipates 72 mW from a 3.3 V supply     

Granular quantization noise in a class of delta-sigma modulators

The trend toward digital signal processing in communication systems has resulted in a large demand for fast accurate analog-to-digital (A/D) converters, and advances in VLSI technology have made ΔΣ modulator-based A/D converters attractive solutions. However, rigorous theoretical analyses have only been performed for the simplest ΔΣ modulator architectures. Existing analyses of more complicated ΔΣ modulators usually rely on approximations and computer simulations. In the paper, a rigorous analysis of the granular quantization noise in a general class of ΔΣ modulators is developed. Under the assumption that some input-referred circuit noise or dither is present, the second-order asymptotic statistics of the granular quantization noise sequences are determined and ergodic properties are derived     

A 2.5-V sigma-delta modulator for broadband communicationsapplications

Oversampled sigma-delta (EA) modulators offer numerous advantages for the realization of high-resolution analog-to-digital (A/D) converters. This paper explores how oversampling and feedback can be employed in high-resolution ΣΔ modulators to extend the signal bandwidth into the range of several megahertz when the oversampling ratio is constrained by technology limitations. A 2-2-1 cascaded multibit architecture suitable for operation from a 2.5-V power supply is presented, and a linearization technique referred to as partitioned data weighted averaging is introduced to suppress in-band digital-to-analog converter (DAC) errors. An experimental prototype based on the proposed topology has been integrated in a 0.5-μm double-poly triple-metal CMOS technology. Fully differential double-sampled switched-capacitor integrators enable the modulator to achieve 95-dB dynamic range at a 4-Msample/s Nyquist conversion rate with an oversampling ratio of 16. The experimental modulator dissipates 150 mW from a 2.5-V supply     

A 1.8-mW CMOS ΣΔ modulator with integrated mixer forA/D conversion of IF signals

In this paper, the design of a continuous-time baseband sigma-delta (ΣΔ) modulator with an integrated mixer for intermediate-frequency (IF) analog-to-digital conversion is presented. This highly linear IF ΣΔ modulator digitizes a GSM channel at intermediate frequencies up to 50 MHz. The sampling rate is not related to the input IF and is 13.0 MHz in this design. Power consumption is 1.8 mW from a 2.5-V supply. Measured dynamic range is 82 dB, and third-order intermodulation distortion is -84 dB for two -6-dBV IF input tones. Two modulators in quadrature configuration provide 200-kHz GSM bandwidth. Active area of a single IF ΣΔ modulator is 0.2 mm² in 0.35-μm CMOS     

Design and realization of a digital ΔΣ modulator forfractional-n frequency synthesis

The basic operation of a fractional-n frequency synthesizer has been published, but to date little has been presented on the digital ΔΣ modulators which are required to drive such synthesizers. This paper provides a tutorial overview, which relates digital ΔΣ modulation to other applications of ΔΣ modulation where the literature is more complete. The paper then presents a digital ΔΣ modulator architecture which is economical and efficient and which is practical to realize with commercially available components in comparison with other possible implementations which require extensive custom very large-scale integration (VLSI). A demonstration is made of a 28-b modulator using the architecture presented, which provides a 25-MHz tuning bandwidth and <1-Hz frequency resolution. The modulator is demonstrated in an 800-MHz frequency synthesizer having phase noise of -90 dBC/Hz at a 30-kHz offset     

CMOS fully-differential bandpass ΣΔ modulator usingswitched-current circuits

The authors present a fourth-order bandpass ΣΔ switched-current modulator IC in 0.8 μm CMOS single-poly technology. It is the first reported integrated circuit realisation of a bandpass ΣΔ modulator using switched-current circuits. Its architecture is obtained by applying a lowpass to bandpass transformation (z¹→-z²) to a second-order lowpass modulator. It has been realised using fully-differential circuitry with common-mode feedback. Measurements show 8 bit dynamic range up to 5 MHz clock frequency     

Experimental analysis and comparison on a power factor controllerincluding a delta-sigma processing stage

Monolithic ICs allow simple and cheap single-phase power factor correction (PFC) systems to be implemented. They contain an analog multiplier, the transfer characteristic of which may be nonlinear. In this paper, the delta-sigma (ΔΣ) modulation technique is applied to fully implement the algebraic operations of a PFC system's multiplier block. A ΔΣ multiplier prototype was breadboarded and inserted in a PFC control loop based on a commercial IC. The experimental results regarding the AC line current distortion are reported and compared with those obtained from the built-in analog multiplier of the IC. The benefits on the total harmonic distortion (THD) on the AC side are highlighted