Abstract
Abstract. In this paper, the common method of scaling the feedback coefficients of continuous time sigma delta modulators in order to stabilize the system is enhanced. The presented approach scales the different states of the system instead of the coefficients. The new corresponding coefficients are then calculated from the solution of the state space description. Therewith, it is possible to tune the maximum out-of-band gain directly in continuous time. In addition, the input amplitude distribution between each quantization level of multi bit sigma-delta modulator can be adapted.
Highlights
Analogue to digital (A/D) converters are one of the main parts in the digital home entertainment technology
There are many different approaches and circuits to convert analogue signals into digital signals. It can be differenced between direct and indirect A/D converters like sigma delta modulators David F.Hoeschele (1994)
A common method to optimize the system properties, like maximum signal to noise ratio (SNR) or dynamic range (DR), is to scale the feed-back coefficients in order to reduce the aggressivity of the noise transfer function (NTF)
Summary
Analogue to digital (A/D) converters are one of the main parts in the digital home entertainment technology. For an improvement of the performance of the modulator, the order of the filter structure or respectively of the NTFs can be raised Schreier (2004) by using a chain of integrators. By this way, the filtering function can be designed more aggressively, whereby the noise shaping of the signal is improved. A common method to optimize the system properties, like maximum signal to noise ratio (SNR) or dynamic range (DR), is to scale the feed-back coefficients in order to reduce the aggressivity of the NTF. The method is demonstrated on different example systems to show how the method can be used to tune the system performance
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