{"title":"问题4","authors":"Trie Tree","doi":"10.5040/9781526500885.chapter-004","DOIUrl":null,"url":null,"abstract":"a) Derive a bound for the aperture error or jitter allowable in the sample-and-hold used as the input stage to an N-bit analogue-to-digital converter (ADC, in terms of the maximum sampling frequency. [8 MARKS] b) Derive an expression for the root mean square of quanitisation error for an N-bit ADC assuming an equiprobable error distribution within each quantisation step. [8 MARKS] c) Use this to calculate the signal-to-noise ratio of a digitised triangular wave that spans the full input range of a 16-bit ADC. [4 MARKS]","PeriodicalId":420999,"journal":{"name":"Knowledge and Reality in Nine Questions","volume":"121 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Question 4\",\"authors\":\"Trie Tree\",\"doi\":\"10.5040/9781526500885.chapter-004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"a) Derive a bound for the aperture error or jitter allowable in the sample-and-hold used as the input stage to an N-bit analogue-to-digital converter (ADC, in terms of the maximum sampling frequency. [8 MARKS] b) Derive an expression for the root mean square of quanitisation error for an N-bit ADC assuming an equiprobable error distribution within each quantisation step. [8 MARKS] c) Use this to calculate the signal-to-noise ratio of a digitised triangular wave that spans the full input range of a 16-bit ADC. [4 MARKS]\",\"PeriodicalId\":420999,\"journal\":{\"name\":\"Knowledge and Reality in Nine Questions\",\"volume\":\"121 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Knowledge and Reality in Nine Questions\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5040/9781526500885.chapter-004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Knowledge and Reality in Nine Questions","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5040/9781526500885.chapter-004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
a) Derive a bound for the aperture error or jitter allowable in the sample-and-hold used as the input stage to an N-bit analogue-to-digital converter (ADC, in terms of the maximum sampling frequency. [8 MARKS] b) Derive an expression for the root mean square of quanitisation error for an N-bit ADC assuming an equiprobable error distribution within each quantisation step. [8 MARKS] c) Use this to calculate the signal-to-noise ratio of a digitised triangular wave that spans the full input range of a 16-bit ADC. [4 MARKS]
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