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- Beta_encoder abstract "A beta encoder is an analog-to-digital conversion (A/D) system in which a real number in the unit interval is represented by a finite representation of a sequence in base beta, with beta being a real number between 1 and 2. Beta encoders are an alternative to traditional approaches to pulse-code modulation.As a form of non-integer representation, beta encoding contrasts with traditional approaches to binary quantization, in which each value is mapped to the first N bits of its base-2 expansion. Rather than using base 2, beta encoders use base beta as a beta-expansion.In practice, beta encoders have attempted to exploit the redundancy provided by the non-uniqueness of the expansion in base beta to produce more robust results. An early beta encoder, the Golden ratio encoder used the golden ratio base for its value of beta, but was susceptible to hardware errors. Although integrator leaks in hardware elements make some beta encoders imprecise, specific algorithms can be used to provide exponentially accurate approximations for the value of beta, despite the imprecise results provided by some circuit components.An alternative design called the negative beta encoder (called so due to the negative eigenvalue of the transition probability matrix) has been proposed to further reduce the quantization error.".
- Beta_encoder thumbnail Conversion_AD_DA.png?width=300.
- Beta_encoder wikiPageID "28854622".
- Beta_encoder wikiPageLength "2995".
- Beta_encoder wikiPageOutDegree "16".
- Beta_encoder wikiPageRevisionID "697576641".
- Beta_encoder wikiPageWikiLink Analog-to-digital_converter.
- Beta_encoder wikiPageWikiLink Category:Digital_signal_processing.
- Beta_encoder wikiPageWikiLink Category:Signal_processing.
- Beta_encoder wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Beta_encoder wikiPageWikiLink Golden_ratio_base.
- Beta_encoder wikiPageWikiLink Markov_chain.
- Beta_encoder wikiPageWikiLink Non-integer_representation.
- Beta_encoder wikiPageWikiLink Pulse-code_modulation.
- Beta_encoder wikiPageWikiLink Quantization_(signal_processing).
- Beta_encoder wikiPageWikiLink Real_number.
- Beta_encoder wikiPageWikiLink Sampling_(signal_processing).
- Beta_encoder wikiPageWikiLink Unit_interval.
- Beta_encoder wikiPageWikiLink File:Conversion_AD_DA.png.
- Beta_encoder wikiPageWikiLinkText "Beta encoder".
- Beta_encoder wikiPageUsesTemplate Template:Reflist.
- Beta_encoder subject Category:Digital_signal_processing.
- Beta_encoder subject Category:Signal_processing.
- Beta_encoder hypernym System.
- Beta_encoder type Algorithm.
- Beta_encoder type Field.
- Beta_encoder comment "A beta encoder is an analog-to-digital conversion (A/D) system in which a real number in the unit interval is represented by a finite representation of a sequence in base beta, with beta being a real number between 1 and 2. Beta encoders are an alternative to traditional approaches to pulse-code modulation.As a form of non-integer representation, beta encoding contrasts with traditional approaches to binary quantization, in which each value is mapped to the first N bits of its base-2 expansion.".
- Beta_encoder label "Beta encoder".
- Beta_encoder sameAs Q4897296.
- Beta_encoder sameAs m.0ddb09m.
- Beta_encoder sameAs Q4897296.
- Beta_encoder wasDerivedFrom Beta_encoder?oldid=697576641.
- Beta_encoder depiction Conversion_AD_DA.png.
- Beta_encoder isPrimaryTopicOf Beta_encoder.