Abstract
This paper is an extension of the existing works on the frequency-domain-based bit flipping control strategy for stabilizing the single-bit high-order interpolative sigma delta modulator. In particular, this paper proposes the implementation and performs the performance evaluation of the control strategy. For the implementation, a frequency detector is used to detect the resonance frequencies of the input sequence of the sigma delta modulator. Then, a neural-network-based controller is used for finding the solution of the integer programming problem. Finally, the buffers and the combinational logic gates as well as an inverter are used for implementing the proposed control strategy. For the performance evaluation, the stability region in terms of the input dynamical range is evaluated. It is found that the control strategy can significantly increase the input dynamical range from 0.24 to 0.58. Besides, the control strategy can be applied to a wider class of the input signals compared to the clipping method.
Highlights
A single-bit high-order interpolative sigma delta modulator [1,2] consists of a negative feedback of a high order loop filter and a single bit quantizer [3]
Since the control objective is to guarantee the stability of the sigma delta modulator and the stability only depends on the input signal for a given sigma delta modulator and the control strategy, the input dynamical range is employed as the criterion for the comparison
This paper proposed an implementation of the frequency-domain-based bit flipping control strategy [1] for stabilizing the single-bit high-order interpolative sigma delta modulator
Summary
A single-bit high-order interpolative sigma delta modulator [1,2] consists of a negative feedback of a high order loop filter and a single bit quantizer [3]. The islargest invariant set of state vectors every time when the control action takes place Another common control method is to reset the requires a very high computational power [15]. To address the requires drawbacks the existing clipping control strategy, sliding mode control-based technique usually anofamplifier with the gain higher than athe saturation level of the method was proposed [12,13]. The conventional sliding mode control technique quantizer Speaking, this flipping strategy is valid only for the input signal withusually a very requires an amplifier small dynamic range.
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