8 research outputs found

    Simulation, and Overload and Stability Analysis of Continuous Time Sigma Delta Modulator

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    The ever increasing demand for faster and more powerful digital applications requires high speed, high resolution ADCs. Currently, sigma delta modulators ADCs are extensively used in broadband telecommunication systems because they are an effective solution for high data-rate wireless communication systems that require low power consumption, high speed, high resolution, and large signal bandwidths. Because mixed-signal integrated circuits such as Continuous Time sigma delta modulators contain both analog and digital circuits, mixed signal circuits are not as simple to model and simulate as all discrete or all analog systems. In this dissertation, the delta transform is used to simulate CT sigma delta modulators, and its speed and accuracy are compared to the other methods. The delta transform method is shown to be a very simple and effective method to get accurate results at reasonable speeds when compared with several existing simulation methods. When a CT sigma delta modulator is overloaded, sigma delta modulator\u27s output signal to quantization noise ratio (SQNR) decreases when the sigma delta modulator\u27s input is increased over a certain value. In this dissertation, the range of quantizer gains that cause overload are determined and the values ware used to determine the input signal power that prevents overload and the CT sigma delta modulator\u27s maximum SQNR. The CT sigma delta modulators from 2nd to 5th order are simulated to validate the predicted maximum input power that prevents overload and the maximum SQNR. Determining the stability criteria for CT sigma delta modulators is more difficult than it is for Discrete time sigma delta modulators (DT sigma delta modulators) because CT sigma delta modulators include delays which are modeled mathematically by exponential functions for CT systems. In this dissertation an analytical root locus method is used to determine the stability criteria for CT sigma delta modulators. This root locus method determines the range of quantizer gains for which a CT sigma delta modulator is stable. These values can then be used to determine input signal and internal signal powers that prevent sigma delta modulators from becoming unstable. Also, the maximum input power that keeps the CT sigma delta modulators stable for CT sigma delta modulators operating in overload can be determined. The CT sigma delta modulators from 2nd to 5th order are simulated to validate the predicted maximum input power that keeps the CT sigma delta modulators stable

    LOW-VOLTAGE LOW-POWER ANALOG-TO-DIGITAL CONVERTERS

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    Ph.DDOCTOR OF PHILOSOPH

    On The Implementation of Input-Feedforward Delta–Sigma Modulators

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    Abstract—This brief addresses some practical issues on the implementation of the input-feedforward delta–sigma modulators. First, the timing constraint imposed by the input-feedforward path is identified and a possible method to relax the constraint is proposed. Second, the drawbacks of the analog adder needed before the quantizer are explained and a method to eliminate the adder is proposed. Index Terms—Analog-to-digital, delta–sigma(16), input-feedforward, oversampling
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