By Lucien Breems, Johan Huijsing
This textual content describes the layout and conception of continuous-time sigma-delta modulators for analogue-to-digital conversion in radio receivers. The book's major concentration is on dynamic diversity, linearity and gear potency facets of sigma-delta modulators, that are vitally important necessities to be used in battery operated receivers.
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Additional resources for Continuous-time Sigma-Delta modulation for A/D conversion in radio receivers
Oversampling A one-bit quantizer generates a bitstream pattern with output levels ±q/2 , where q is the quantization step size. The bitstream spectrum contains information about the input signal and a quantization error, which is introduced by the quantizer. 2] The power spectral density of the sampled quantization error signal is where is the sampling frequency. This equation shows the relation between the quantization noise power and sampling frequency. It shows that the higher the sampling frequency, the lower the noise power density.
6 Summary Digital integration of the channel filter in GSM or radio receivers puts heavy linearity (and image rejection) requirements on the VGA, quadrature mixers, antialiasing filters and A/D converters. A single-bit continuous-time baseband modulator has the ability of performing highly linear A/D conversion. Moreover, as sampling is done after filtering of the input signal by the continuous-time loopfilter, it has an inherent anti-aliasing filter. In this book, the combined design of a mixer and continuous-time modulator is investigated for high performance IF-to-baseband A/D conversion (chapter 4).
3-16) the quantizer output gives the exact same output pattern for the whole range of phases. Thus, the quantizer is not able to detect the phase of an input signal at and therefore has a phase uncertainty. At the maximum phase uncertainty is This uncertainty in phase of the quantizer is largest at In the Laplace domain, the quantizer is modeled as where is the quantizer gain and CONTINUOUS-TIME the phase shift. MODULATION FOR A/D CONVERSION IN RADIO RECEIVERS 47 Continuous-time sigma-delta modulation For signals that are not rational fractions of the sampling frequency, any shift in phase always gives a change in the quantizer output pattern.
Continuous-time Sigma-Delta modulation for A/D conversion in radio receivers by Lucien Breems, Johan Huijsing