A lower bound on the MSE of the single loop sigma delta modulator

1989 ◽  
Author(s):  
A. Zakhor ◽  
K. Ibraham
Keyword(s):  
Lower Bound ◽  
Sigma Delta Modulator ◽  
Sigma Delta ◽  
Single Loop

Design of Third-Order Single-Loop Full Feed-Forward Sigma Delta Modulator

2014 ◽  
Vol 609-610 ◽  
pp. 1176-1180
Author(s):  
Liang Liu ◽  
Song Chen ◽  
Chong He ◽  
Liang Yin ◽  
Xiao Wei Liu
Keyword(s):  
Model Building ◽  
Inertial Sensors ◽  
Sampling Rate ◽  
Third Order ◽  
Sigma Delta Modulator ◽  
Sigma Delta ◽  
Feed Forward ◽  
Single Loop ◽  
Local Feedback ◽  
Sigma Delta Adc

Sigma Delta modulator is widely used in ADC for kinds of micro inertial sensors, Sigma Delta ADC can be easily integrated with digital circuits. It possesses some performances of good linearity and high accuracy, while it has no such strict requirements for the match of device dimensions. In this paper, the design of third-order Sigma Delta modulator with a structure of single-loop full feed-forward is accomplished, meanwhile it uses local feedback for zero optimization to improve the shaping capacity of the modulator noise within the signal bandwidth. The OSR (over-sampling rate) of the modulator is 128 and the signal bandwidth is 10 kHz. By the system model building and simulation in the Simulink of MATALAB, the SNR is 96.3 dB and the ENOB is 15.71 bits. Then the modulator is implemented into transistor-level circuits with 0.5um process, by the simulation in Spectre of Cadence, the SNR is 88.5 dB and the ENOB is 14.41 bits. 搜

An improved single-loop sigma-delta modulator for GSM applications

2011 ◽  
Vol 32 (9) ◽  
pp. 095009
Author(s):  
Hongyi Li ◽  
Yuan Wang ◽  
Song Jia ◽  
Xing Zhang
Keyword(s):  
Sigma Delta Modulator ◽  
Sigma Delta ◽  
Single Loop

A Performance Prediction Method with an Equation-Based Behavioral Model for a Single-Bit Single-Loop Sigma-Delta Modulator

2012 ◽  
Vol 4 (4) ◽  
pp. 51-69
Author(s):  
Shuenn-Yuh Lee ◽  
Jia-Hua Hong
Keyword(s):  
Dynamic Range ◽  
Behavioral Model ◽  
Cmos Process ◽  
Switched Capacitor ◽  
Sigma Delta Modulator ◽  
Sigma Delta ◽  
Single Loop ◽  
The Real ◽  
Switched Capacitor Circuits ◽  
Real Performance

An equation-based behavioral model has been developed to predict the real performance of a single–loop single-bit Sigma Delta Modulator (SDM). By using this prediction flow, not only can the circuit specifications be acquired, including the gain, bandwidth, slew rate of the OPAMPs, and the capacitor value in the switched-capacitor circuits, but the real performance of the SDM can also be predicted. The switched-capacitor circuits according to the required circuit specifications are employed to design a fourth-order feed-forward (FF) SDM with an over-sampling ratio (OSR) of 64 and a bandwidth of 10kHz using a TSMC 0.35µm CMOS process. The measurement results reveal that the SDM with an input frequency of 2.5kHz and a supply voltage of 3.3V can achieve a dynamic range of 90dB and a spurious-free dynamic range (SFDR) of 85dB under the signal bandwidth of 10kHz and a sampling frequency of 1.28MHz, respectively. The precision of the equation-based behavioral model has been validated by experimental measurements, and its inaccuracy is less than 4%.

A Feed-Forward Sigma-Delta Modulator Applied in Silicon Gyroscope

2015 ◽  
Vol 645-646 ◽  
pp. 657-661
Author(s):  
Qi Shao ◽  
Qiu Ye Lv ◽  
Hao Meng ◽  
Qiang Fu ◽  
Xiao Wei Liu
Keyword(s):  
Sampling Rate ◽  
Ideal Model ◽  
Sigma Delta Modulator ◽  
Sigma Delta ◽  
Feed Forward ◽  
Single Loop ◽  
Local Feedback ◽  
Signal Band

Aiming to be applied in silicon gyroscope, a three-order single loop feedforward modulator with three-bit quantizer and local feedback is designed in this paper. Signal band is 200 KHz, sampling rate is 25.6 MHz, OSR is 64. Ideal modulator is then designed and simulated in MATLAB, getting SNR 125dB. Non-ideal factors are also added to ideal model, DWA technology is adopted to restrain the nonlinearity of multi-bit quantizer, getting SNR 104dB. Finally, transistor-level full-difference modulator is designed and simulated in Cadence, fetting SNR 101.3dB.

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