Download PDF by George I. Bourdopoulos, Aristodemos Pnevmatikakis, Vassilis: Delta-Sigma Modulators: Modeling, Design and Applications


By George I. Bourdopoulos, Aristodemos Pnevmatikakis, Vassilis Anastassopoulos, Theodore L. Deliyannis

ISBN-10: 1860943691

ISBN-13: 9781860943690

Facing the modelling and layout of higher-order single-stage delta-sigma modulators, this ebook presents an outline of the architectures, the quantizer versions, the layout recommendations and the implementation concerns encountered within the learn of the delta-sigma modulators. a couple of purposes are mentioned, with emphasis on use within the layout of analog-to-digital converters and in frequency synthesis. The booklet is schooling instead of research-oriented, containing numerical examples and unsolved difficulties. it's geared toward introducing the final-year undergraduate, the graduate scholar or the digital engineer to this box.

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LL'iil s nil a. M a. tmfi ilff'1 ipf 'f' '! 02 Normalizedfrequency(f,=1) (b) Fig. 5 Second-order AI modulator with sinusoidal input and OSR 64. a. SNR as a function of input power (dBm). 5 dB is obtained for 6 dBm input. 3 dB. b. Power spectral density of the output signal for low frequencies and for 6 dBm input. The noise no longer forms tones. 5 51 Higher-Order AS Modulators The advantages of extending the order of the AS modulator from first to second have been demonstrated in the previous section.

4 Power spectral density of the output signal of the first-order AI modulator for low frequencies and for an 8 dBm sinusoidal input. The input frequency is: a. 7656 • 10^, b. 7534 • 10"4 and c. 6451 • 10-4 of the sampling frequency. 3 AS Modulators Comparison of Delta and AS Modulators The performance comparison of the DM, with that of the AE modulator is done by determining the maximum value of SNR, SNRmax, for each case. 10) Linear DM In order to determine the signal power Ps we assume that the DM is not slope overloaded.

23 Analog to Digital Conversion Consequently, the quantization error can be regarded as an independent additive white noise source. The quantization noise affects the quality of the signal. e. 6) SQNR = Quantization Noise Power xq(n) x(n) x(n) / ^ Xq(n)=x(n)+e(n) Quantizer Linear model of the Quantizer Fig. 9 The linear model for the quantizer. The quantization error is considered to be an additive noise source. For an input signal, which is large compared to the quantization step A , the error term e(n) is a random quantity uniformly distributed in the interval (-A/2, A/2).

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Delta-Sigma Modulators: Modeling, Design and Applications by George I. Bourdopoulos, Aristodemos Pnevmatikakis, Vassilis Anastassopoulos, Theodore L. Deliyannis

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