ΣΔ A/D CONVERSION FOR SIGNAL CONDITIONING by Kathleen Philips, Arthur H. M. van Roermund (auth.)

By Kathleen Philips, Arthur H. M. van Roermund (auth.)

1.1 history Moore’s legislation predicts a reduce by means of an element of 2 within the function measurement of CMOS te- nology each 3 years and has been legitimate for years. It implies a doubling of the - eration pace and a 4 occasions greater transistor count number in step with unit of region, each 3 years. the mix ends up in an 8 instances larger processing potential according to unit of quarter. This on-going miniaturization permits the combination of advanced digital platforms with thousands of transistors (Very-Large-Scale-Integration) and permits the combination of el- tronic structures. An digital method A commonplace photo of an built-in digital method is proven in ?g. 1.1. the guts of the procedure is the sign processing middle. This center helps a large choice of features, reminiscent of customization and programmability of a number of purposes, channel coding, the de?nition of the consumer interface, and so on. those services are enabled by means of DSP, a controller CPU and diverse blocks of reminiscence. In complex ICs those blocks supply (almost) all sign processing and typically dominate within the total strength and quarter intake of built-in platforms. the large info premiums concerned, require high-speed busses for verbal exchange among those blocks. A power-management unit fuels the approach by way of supplying the - propriate provide voltages and currents.

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For simplicity, the analog conditioning circuits are assumed to be based on a differential pair. In practice, this is often the case. In addition, it is in line with the assumption of differential pair based integrator stages in the implementation (page 27). This analogy allows a generalized analysis of the channel and the exchange of analog filter stages for increased A/D performance (see chapter 5). The analog part of the conditioning channel becomes a cascade of differential pairs, each performing a specific function (filtering or amplification).

For completeness, it is mentioned that the DAC in the feedback path of the modulator is a critical block. Still, for a single-bit design the required accuracy is normally easily achieved. e. fs = 2BW. In practice, fs > 2BW is required in order to relax the transition-band for the anti-alias filter and in order to reduce the amplitude and phase error of the sampling action. The quantizer in the ADC can be inaccurate: 32 A/D CONVERSION • the number-of-bits in the quantizer can be lowered (ultimately to a single bit) because the quantization noise added in the quantizer is shaped by the transfer of the preceding loop filter.

In a multi-level PCM code though a bit-flip of the Most-Significant-Bit results in a major error. The paper by de Jager in 1952 [22], on delta modulators was the first in a massive series of delta-sigma and sigma-delta papers. In 1960, the delta-sigma modulator was patented by Cutler [23]. Inose et al. [24] proposed to shift the loop filter in the forward path of the modulator in 1962. In the 1980’s sigma-delta conversion became popular in both the A/D and the D/A part of audio channels. In addition, instrumentation applications widely adopted converters.

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