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基于MASH结构的Sigma-Delta调制解调器设计.docx


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Title: Design of Sigma-Delta Modulator-Demodulator Based on MASH Structure
Abstract:
Sigma-Delta modulation is a widely used technique in modern communication systems due to its ability to achieve high-resolution digitization of analog signals with low complexity. In this paper, we present a design approach for a Sigma-Delta modulator-demodulator based on the MASH (Multi-stage Noise Shaping) structure. The MASH architecture offers improved performance in terms of signal-to-noise ratio (SNR) and suppression of quantization noise, making it an attractive choice for high-precision communication systems. This paper discusses the fundamentals of Sigma-Delta modulation, introduces the MASH structure, describes the design considerations, and presents simulation results demonstrating the performance of the proposed modulator-demodulator.
1. Introduction:
Sigma-Delta modulation has gained popularity in recent years due to its ability to perform high-resolution analog-to-digital (ADC) and digital-to-analog (DAC) conversions. The key idea behind Sigma-Delta modulation is to use oversampling and noise shaping techniques to achieve high-resolution representation of the input analog signal. The MASH structure is an extension of the traditional Sigma-Delta modulator structure, offering improved performance through cascading of multiple stages and noise shaping.
2. Fundamentals of Sigma-Delta Modulation:
Sigma-Delta modulation involves oversampling the input analog signal, quantizing the samples, and feeding the quantization error back to the input through a loop filter. This feedback loop uses the quantization noise as a shaping noise, pushing it out of the band of interest. The high sampling rate allows for increased resolution in the digital representation of the signal. The key parameters of interest in Sigma-Delta modulation are the order of the modulator, the oversampling ratio, and the noise shaping profile.
3. MASH Structure:
The MASH structure consists of multiple Sigma-Delta stages connected in series, with each stage providing additional noise shaping and quantization error suppression. The output of each stage is combined with the input signal to generate the input for the next stage. The MASH structure provides improved performance in terms of SNR and suppression of quantization noise compared to a single-stage Sigma-Delta modulator. The performance improvement comes at the cost of increased complexity due to the cascaded structure.
4. Design Considerations:
Designing a Sigma-Delta modulator-demodulator based on the MASH structure requires careful consideration of various parameters. These include the order of each Sigma-Delta stage, the α-stable filter design, the noise transfer function, and the error transfer function. The choice of these parameters affects the overall performance of the modulator-demodulator in terms of SNR, bandwidth, and stability.
5. Simulation Results:
Simulation results are presented to demonstrate the performance of the MASH-based Sigma-Delta modulator-demodulator. The performance metrics include SNR, harmonic distortion, and signal reconstruction quality. The results show that the MASH structure offers improved performance compared to a single-stage Sigma-Delta modulator, particularly in terms of SNR and quantization noise suppression. The simulation results validate the effectiveness of the proposed design approach.
6. Conclusion:
In this paper, we have presented a design approach for a Sigma-Delta modulator-demodulator based on the MASH structure. The MASH structure offers improved performance in terms of SNR and quantization noise suppression, making it an attractive choice for high-precision communication systems. The presented design considerations and simulation results demonstrate the feasibility and effectiveness of the proposed design approach. Future work could focus on optimizing the design parameters further and exploring the implementation of the MASH-based Sigma-Delta modulator-demodulator in hardware.

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