• Title/Summary/Keyword: ${\Sigma}{\Delta}$ modulators

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Systematic Design of High-Resolution High-Frequency Cascade Continuous-Time Sigma-Delta Modulators

  • Tortosa, Ramon;Castro-Lopez, Rafael;De La Rosa, J.M.;Roca, Elisenda;Rodriguez-Vazquez, Angel;Fernandez, F.V.
    • ETRI Journal
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    • v.30 no.4
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    • pp.535-545
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    • 2008
  • This paper introduces a systematic top-down and bottom-up design methodology to assist the designer in the implementation of continuous-time (CT) cascade sigma-delta (${\Sigma}{\Delta}$) modulators. The salient features of this methodology are (a) flexible behavioral modeling for optimum accuracy-efficiency trade-offs at different stages of the top-down synthesis process, (b) direct synthesis in the continuous-time domain for minimum circuit complexity and sensitivity, (c) mixed knowledge-based and optimization-based architectural exploration and specification transmission for enhanced circuit performance, and (d) use of Pareto-optimal fronts of building blocks to reduce re-design iterations. The applicability of this methodology will be illustrated via the design of a 12-bit 20 MHz CT ${\Sigma}{\Delta}$ modulator in a 1.2 V 130 nm CMOS technology.

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A Clock Regenerator using Two 2nd Order Sigma-Delta Modulators for Wide Range of Dividing Ratio

  • Oh, Seung-Wuk;Kim, Sang-Ho;Im, Sang-Soon;Ahn, Yong-Sung;Kang, Jin-Ku
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.12 no.1
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    • pp.10-17
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    • 2012
  • This paper presents a clock regenerator using two $2^{nd}$ order ${\sum}-{\Delta}$ (sigma-delta) modulators for wide range of dividing ratio as defined in HDMI standard. The proposed circuit adopts a fractional-N frequency synthesis architecture for PLL-based clock regeneration. By converting the integer and decimal part of the N and CTS values in HDMI format and processing separately at two different ${\sum}-{\Delta}$ modulators, the proposed circuit covers a very wide range of the dividing ratio as HDMI standard. The circuit is fabricated using 0.18 ${\mu}m$ CMOS and shows 13 mW power consumption with an on-chip loop filter implementation.

The Design and Application of Oversampling Sigma-Delta Converters (오버샘플링 시그마-델타 변환기의 설계와 응용)

  • Shin, Jong-Han;Park, Song-Bai
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.861-865
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    • 1991
  • Sigma delta modulation has been the preferred technique for oversampling conversion. In this paper we present the basic principles of oversampled sigma-delta Converters. Basic operation and theory behind sigma-delta modulation is reviewed. The different structures of the sigma-delta converters are described and the concepts of designing modulators and digital filters are discussed. The latest designs are also reviewed.

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A Simulation of Δ-Σ Modulators for Frequency Synthesizers of FMCW Radars (FMCW 레이더 주파수합성기용 델타-시그마 변조기의 시뮬레이션)

  • Hwang, In-Duk;Kim, Chang-Hwan
    • The Journal of the Korea institute of electronic communication sciences
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    • v.7 no.4
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    • pp.707-714
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    • 2012
  • After a single-stage, second-order, multiple-feedback ${\Delta}-{\Sigma}$ modulator and a two-stage, second-order MASH ${\Delta}-{\Sigma}$ modulator were analyzed and simulated using Simulink and Matlab and their characteristics were compared, the following result was obtained: 1) The two ${\Delta}-{\Sigma}$ modulators do not have group delay distortion. 2) The characteristics of the noise shaping are nearly identical. As a result of the noise shaping, the power spectral densities have slope of 40 dB/dec. 3) There was no spurious tone. 4) The input range of the two modulators is from -1 to +1 in common. 5) Because the output of the two-stage MASH modulator is 2-bits (4-levels), design of frequency dividers and charge pumps of PLL are more demanding.

Performance and Jitter Effects Analysis of Single Bit Electro-Optical Sigma-Delta Modulators (단일 비트 전자-광학 시그마-델타 변조기의 성능 및 지터 효과 분석)

  • Nam, Chang-Ho;Ra, Sung-Woong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.6
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    • pp.706-715
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    • 2012
  • Electro-optical sigma-delta modulators are the core module of digital receiver to digitize wideband radio-frequency signals directly at an antenna. Electro-optical sigma-delta modulators use a pulsed laser to oversample an input radio-frequency signals at two Mach-Zehnder Interferometer(MZI) and shape the quantization noise using a fiber-lattice accumulator. Decimation filtering is applied to the quantizer output to construct the input signal with high resolution. The jitter affects greatly on reconstructing the original input signal of modulator. This paper analyzes the performance of first order single bit electro-optical sigma-delta modulator in the time domain and the frequency domain. The performance of modulator is analyzed by using asynchronous spectral averaging of the reconstructed signal's spectrum in the frequency domain. The reference value of time jitter is presented by analyzing the performance of jitter effects. This kind of jitter value can be used as a reference value on the design of modulators.

Implementation of sigma-delta A/D converter IP for digital audio

  • Park SangBong;Lee YoungDae
    • Proceedings of the IEEK Conference
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    • summer
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    • pp.199-203
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    • 2004
  • In this paper, we only describe the digital block of two-channel 18-bit analog-to-digital (A/D) converter employing sigma-delta method and xl28 decimation. The device contains two fourth comb filters with 1-bit input from sigma­delta modulator. each followed by a digital half band FIR(Finite Impulse Response) filters. The external analog sigma-delta modulators are sampled at 6.144MHz and the digital words are output at 48kHz. The fourth-order comb filter has designed 3 types of ways for optimal power consumption and signal-to-noise ratio. The following 3 digital filters are designed with 12tap, 22tap and 116tap to meet the specification. These filters eliminate images of the base band audio signal that exist at multiples of the input sample rate. We also designed these filters with 8bit and 16bit filter coefficient to analysis signal-to-noise ratio and hardware complexity. It also included digital output interface block for I2S serial data protocol, test circuit and internal input vector generator. It is fabricated with 0.35um HYNIX standard CMOS cell library with 3.3V supply voltage and the chip size is 2000um by 2000um. The function and the performance have been verified using Verilog XL logic simulator and Matlab tool.

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The Design of Sigma-Delta Modulator for audio signal application (음성신호 처리용 저주파 시그마 델타 변조기 설계)

  • 신경민;장흥석;정대영;정강민
    • Proceedings of the IEEK Conference
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    • 2000.11b
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    • pp.152-155
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    • 2000
  • Oversampling modulators based on high-order sigma-delta modulation provide an effective means of achieving high-resolution A/D conversion in a VLSI technology. Because high-order noise shaping great]y reduces the quantization noise in the signal band. This paper introduces a third-order cascaded sigma-delta modulator that is stable for large input level. Modulator was simulated 3.3V single power supply voltage in 0.65$\mu\textrm{m}$ CMOS technology. It achieves 80㏈ SNR for a 20㎑ input signal bandwidth. A lock frequency is 3㎒ that is 80 oversampling ratio.

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Estimating Non-Ideal Effects within a Top-Down Methodology for the Design of Continuous-Time Delta-Sigma Modulators

  • Na, Seung-in;Kim, Susie;Yang, Youngtae;Kim, Suhwan
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.16 no.3
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    • pp.319-329
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    • 2016
  • High-level design aids are mandatory for design of a continuous-time delta-sigma modulator (CTDSM). This paper proposes a top-down methodology design to generate a noise transfer function (NTF) which is compensated for excess loop delay (ELD). This method is applicable to low pass loop-filter topologies. Non-ideal effects including ELD, integrator scaling issue, finite op-amp performance, clock jitter and DAC inaccuracies are explicitly represented in a behavioral simulation of a CTDSM. Mathematical modeling using MATLAB is supplemented with circuit-level simulation using Verilog-A blocks. Behavioral simulation and circuit-level simulation using Verilog-A blocks are used to validate our approach.

A $4^{th}$-Order 1-bit Continuous-Time Sigma-Delta Modulator for Acoustic Sensor (어쿠스틱 센서 IC용 4차 단일 비트 연속 시간 시그마-델타 모듈레이터)

  • Kim, Hyoung-Joong;Lee, Min-Woo;Roh, Jeong-Jin
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.46 no.3
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    • pp.51-59
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    • 2009
  • This paper presents the design of continuous-time sigma-delta modulator for acoustic sensor. The feedforward structure without summing block is used to reduce power consumption of sigma-delta modulator. A high-linearity active-RC filter is used to improve resolution of sigma-delta modulator. Excess loop delay problem in conventional continuous-time sigma-delta modulators is solved by our proposed architecture. A low power, high resolution fourth-order continuous-time sigma-delta modulator with 1-bit quantization was realized in a 0.13-${\mu}m$ 1-Poly 8-metal CMOS technology, with a core area of $0.58\;mm^2$. Simulation results show that the modulator achieves 91.3-dB SNR over a 25-kHz signal bandwidth with an oversampling ratio of 64, while dissipating $290{\mu}W$ from a 3.3-V supply.

Adder-and-Accumulator ($A^{2}C$) for Pipelined $\Delta\Sigma$ Modulator (Pipelined $\Delta\Sigma$ 변조기에 적합한 Adder-and-Accumulator ($A^{2}C$))

  • 이주애;김선호;김대정;민경식;김동명
    • Proceedings of the IEEK Conference
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    • 2003.07b
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    • pp.967-970
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    • 2003
  • A new adder-and-accumulator (A$^2$C) adapted to pipelined Δ$\Sigma$ modulators is proposed in this paper. With the viewpoint of area consumption, registers are removed in the existing pipelined Δ$\Sigma$ modulator, and then adder and accumulator are merged. In order to optimize area consumption, speed and power consumption, dynamic carry look-ahead adder (CLA) is adopted in $A^2$C. Moreover, a guideline for the transistor sizing in CLA with regard to the minimization of the energy-delay-area product (EDAP) is proposed[1]. The proposed $A^2$C has been verified by HSPICE simulations.

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