{"product_id":"bandpass-sigma-delta-modulators-stability-analysis-performance-and-design-aspects-von-jurgen-van-engelen-rudy-j-van-de-plassche","title":"Bandpass Sigma Delta Modulators","description":"\n                                Sigma delta modulation has become a very useful and widely  applied technique for high performance Analog-to-Digital (A\/D)  conversion of narrow band signals. Through the use of oversampling and  negative feedback, the quantization errors of a coarse quantizer are  suppressed in a narrow signal band in the output of the modulator.  Bandpass sigma delta modulation is well suited for A\/D conversion of  narrow band signals modulated on a carrier, as occurs in communication  systems such as AM\/FM receivers and mobile phones. \n                \n                \u003cbr\u003e\n                                  Due to the nonlinearity of the quantizer in the feedback loop, a sigma  delta modulator may exhibit input signal dependent stability  properties. The same combination of the nonlinearity and the feedback  loop complicates the stability analysis. In \n                \n                \u003cem\u003eBandpass Sigma Delta\u003c\/em\u003e\n                                  \n                \n                \u003cem\u003eModulators\u003c\/em\u003e\n                                , the describing function method is used to analyze  the stability of the sigma delta modulator. The linear gain model  commonly used for the quantizer fails to predict small signal  stability properties and idle patterns accurately. \n                \n                \u003cbr\u003e\n                                  In \n                \n                \u003cem\u003eBandpass Sigma Delta Modulators\u003c\/em\u003e\n                                 an improved model for the  quantizer is introduced, extending the linear gain model with a phase  shift. Analysis shows that the phase shift of a sampled quantizer is  in fact a phase uncertainty. Stability analysis of sigma delta  modulators using the extended model allows accurate prediction of idle  patterns and calculation of small-signal stability boundaries for loop  filter parameters. A simplified rule of thumb is derived and applied  to bandpass sigma delta modulators. \n                \n                \u003cbr\u003e\n                                  The stability properties have a considerable impact on the design of  single-loop, one-bit, high-order continuous-time bandpass sigma delta  modulators. The continuous-time bandpass loop filter structure should  have sufficient degrees of freedom to implement the desired  (small-signal stable) sigma delta modulator behavior. \n                \n                \u003cbr\u003e\n                                  \n                \n                \u003cem\u003eBandpass Sigma Delta Modulators\u003c\/em\u003e\n                                 will be of interest to  practicing engineers and researchers in the areas of mixed-signal and  analog integrated circuit design.\n            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780792386988\"\u003e\u003ch3\u003eStability Analysis, Performance and Design Aspects\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781441951168\"\u003e\u003ch3\u003eStability Analysis, Performance and Design Aspects\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9780792386988","offer_id":50828325254,"sku":"9780792386988","price":192.59,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9781441951168","offer_id":39415680958557,"sku":"9781441951168","price":192.59,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/7488c6d6-7045-4218-810e-dbee0c6975bf.jpg?v=1761627814","url":"https:\/\/shop.autorenwelt.de\/products\/bandpass-sigma-delta-modulators-stability-analysis-performance-and-design-aspects-von-jurgen-van-engelen-rudy-j-van-de-plassche","provider":"Autorenwelt Shop","version":"1.0","type":"link"}