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Description of Limit Cycles in Feedback Sigma Delta Modulators
 Proceedings of the Audio Engineering Society 117th Convention
, 2004
"... This convention paper has been reproduced from the author’s advance manuscript, without editing, corrections, or consideration by the Review Board. The AES takes no responsibility for the contents. Additional papers may be ..."
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This convention paper has been reproduced from the author’s advance manuscript, without editing, corrections, or consideration by the Review Board. The AES takes no responsibility for the contents. Additional papers may be
Idle tone behavior in Sigma Delta Modulation
"... The papers at this Convention have been selected on the basis of a submitted abstract and extended precis that have been peer reviewed by at least two qualified anonymous reviewers. This convention paper has been reproduced from the author's advance manuscript, without editing, corrections, or ..."
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The papers at this Convention have been selected on the basis of a submitted abstract and extended precis that have been peer reviewed by at least two qualified anonymous reviewers. This convention paper has been reproduced from the author's advance manuscript, without editing, corrections, or consideration by the Review Board. The AES takes no responsibility for the contents.
Detection and Removal of Limit Cycles in Sigma Delta Modulators
"... Abstract—Sigma delta modulation is a popular method for converting signals from analog to digital and viceversa. However, sigma delta modulators (SDMs) may suffer from limit cycles, where the output bits may enter a repeating pattern. Current methods of preventing this phenomenon introduce unwanted ..."
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Abstract—Sigma delta modulation is a popular method for converting signals from analog to digital and viceversa. However, sigma delta modulators (SDMs) may suffer from limit cycles, where the output bits may enter a repeating pattern. Current methods of preventing this phenomenon introduce unwanted noise, do not always succeed, and are often implemented when not needed. We present a more effective method for detecting and removing unwanted limit cycles. This method includes adding a small disturbance to the input, which destroys the periodicity of sigmadelta analogtodigital conversion (ADC) modulator’s output sequence and thereby removes the limit cycles. Compared with conventional methods this method is simpler to implement, and the SDM has less signaltonoise ratio (SNR) penalty and a higher allowed input dynamic range. Various implementations of the limit cycle detection and removal schemes are described for feedforward SDMs. Results are reported which demonstrate the success of these methods. Index Terms—Analogtodigital conversion (ADC), digitaltoanalog conversion (DAC), limit cycles, sigma delta modulation.
Sigma Delta Modulator with Improved Performance through Evolutionary Algorithm
"... Abstract: Sigma–delta modulation is the most popular form of analogtodigital conversion used in audio applications. The sigma delta conversion technique has been in existence for many years, but recent technological advances now make the devices practical and now area of usage becoming very large. ..."
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Abstract: Sigma–delta modulation is the most popular form of analogtodigital conversion used in audio applications. The sigma delta conversion technique has been in existence for many years, but recent technological advances now make the devices practical and now area of usage becoming very large. The main thing of these converters is that they are the only low cost conversion method which provides both high dynamic range and flexibility in converting low bandwidth input signals. In this paper we explain how performance is improved using genetic algorithm (GA). In particular, the proposed converter makes use of lowdistortion swing suppression SDM architecture which is highly suitable for low oversampling ratios to attain high linearity over a wide bandwidth. GA based search engine is a stochastic search method which can find the optimum solution within the given constraints.
Comparative Study of the MASH Digital DeltaSigma Modulators
"... AbstractThe paper focuses on the MultistAge noise SHaping (MASH) digital deltasigma modulator (DDSM) that employs multimoduli (MMMASH). Different architectures of the MASH DDSM are compared. In particular, it is proven that a higherorder error feedback modulator (EFM) has the same sequence len ..."
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AbstractThe paper focuses on the MultistAge noise SHaping (MASH) digital deltasigma modulator (DDSM) that employs multimoduli (MMMASH). Different architectures of the MASH DDSM are compared. In particular, it is proven that a higherorder error feedback modulator (EFM) has the same sequence length as a firstorder EFM (EFM1) in an MMMASH. In addition, the method that is required to setup the quantisation moduli of the MMMASH is introduced. The theory is validated by simulation.
A method for searching the limit cycles of high order SigmaDelta modulators A Method for Searching the Limit Cycles of High Order SigmaDelta Modulators
"... Citation for published version (APA): Mladenov, V. M. (2009). A method for searching the limit cycles of high order SigmaDelta modulators. In Proceedings of the 19th European Conference on Circuit Theory and Design, ECCTD 2009, August 2327, 2009 Please check the document version of this publicati ..."
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Citation for published version (APA): Mladenov, V. M. (2009). A method for searching the limit cycles of high order SigmaDelta modulators. In Proceedings of the 19th European Conference on Circuit Theory and Design, ECCTD 2009, August 2327, 2009 Please check the document version of this publication: • A submitted manuscript is the version of the article upon submission and before peerreview. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profitmaking activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal. If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User Agreement: www.tue.nl/taverne Take down policy If you believe that this document breaches copyright please contact us at: openaccess@tue.nl providing details and we will investigate your claim.
LOWER LIMIT CYCLE BOUNDS FOR NARROW TRANSITION BAND DIGITAL FILTERS
"... A procedure for obtaining tighter bounds on zeroinput limit cycles is presented. The determined new bounds are applicable to digital filters of arbitrary order described in statespace formulation and implemented with fixedpoint arithmetic. In most filters, we obtain smaller bounds through this new ..."
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A procedure for obtaining tighter bounds on zeroinput limit cycles is presented. The determined new bounds are applicable to digital filters of arbitrary order described in statespace formulation and implemented with fixedpoint arithmetic. In most filters, we obtain smaller bounds through this new algorithm easy to implement and to execute in a very short computer time. The bounds obtained for narrow transition band digital filters are far lower than those corresponding to classical procedures, yielding enormous computation savings to complete an exhaustive search. Simulation results are presented in different tables that show the validity of the proposed theory. 1.
Second Order Sigma Delta Modulatorwith better SNDR
"... Oversampling sigmadelta analogtodigital converters (ADCs) are one of the keybuilding blocks of state of the art wireless transceivers. In sigmadelta modulator design,the scaling coefficients determine the peak signaltonoise ratio. Therefore, selecting theoptimum value of the coefficient is very ..."
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Oversampling sigmadelta analogtodigital converters (ADCs) are one of the keybuilding blocks of state of the art wireless transceivers. In sigmadelta modulator design,the scaling coefficients determine the peak signaltonoise ratio. Therefore, selecting theoptimum value of the coefficient is very important. To this end, this paper addresses thedesign of a secondorder multibit sigmadelta modulator suitable for Wireless Local AreaNetworks (WLAN) receivers with feed forward path and the optimum coefficients wereselected using genetic algorithm (GA) based search method. In particular, the proposedconverter makes use of lowdistortion swing suppression SDM architecture which is highlysuitable for low oversampling ratios to attain high linearity over a wide bandwidth. GAbased search engine is a stochastic search method which can find the optimum solutionwithin the given constraints.
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"... Sigma–delta modulation (SDM) is perhaps best understood by comparison with traditional pulsecode modulation (PCM). A PCM converter typically ..."
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Sigma–delta modulation (SDM) is perhaps best understood by comparison with traditional pulsecode modulation (PCM). A PCM converter typically
Estimation of an Initial Condition of Sigma–Delta Modulators via Projection Onto Convex Sets
"... Abstract—In this paper, an initial condition of strictly causal rational interpolative sigma–delta modulators (SDMs) is estimated based on quantizer output bit streams and an input signal. A set of initial conditions generating bounded trajectories is characterized. It is found that a set of initi ..."
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Abstract—In this paper, an initial condition of strictly causal rational interpolative sigma–delta modulators (SDMs) is estimated based on quantizer output bit streams and an input signal. A set of initial conditions generating bounded trajectories is characterized. It is found that a set of initial conditions generating bounded trajectories but not necessarily corresponding to quantizer output bit streams is convex. Also, it is found that a set of initial conditions corresponding to quantizer output bit streams but not necessarily generating bounded trajectories is convex too. Moreover, it is found that an initial condition both corresponding to quantizer output bit streams and generating bounded trajectories is uniquely defined if the loop filter is unstable (Here, an unstable loop filter refers to that with at least one of its poles being strictly outside the unit circle). To estimate that unique initial condition, a projection onto convex set approach is employed. Numerical computer simulations show that the employed method can estimate the initial condition effectively. Index Terms—Admissibility, projection onto convex sets, sigma–delta modulators (SDMs), stability. I.