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Accordingly,wefindthattelephonecircuitsthatrespondwelltothislatterrangeoffrequenciesgivequitesatisfactorycommercialtelephoneservice.
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Aquantitativewaytoaccountfortheeffectofnoiseistointroducesignal-to-noiseratio(SNR),wemay
definetheSNRatthereceiverinputastheratiooftheaveragesignalpowertotheaveragenoisepower,(dBs),definedas10timesthelogarithm(tobase10),signal-to-noiseratiosof10,100and1,000correspondto10,20,and30dBs,respectively.
Thetelecommunicationsenvironmentisdominatedbyfourimportantsourcesofinformation:speech,music,pictures,
definedasasingle-valuedfunctionoftimethatplaystheroleoftheindependentvariable;ateveryinstantoftime,-dimensional,asinthecaseofspeech,music,orcomputerdata;two-dimensional,asinthecaseofpictures;three-dimensional,asinthecaseofvideodata;andfour-dimensional,,weelaborateondifferentsourcesofinformation.
(1),thespeechcommunicationprocessinvolvesthetransferofinformationfromaspeakertoalistener,whichtakesplaceinthreesuccessive
stages:
(1)'smindisrepresentedbyaspeechsignalthatconsistsofsounds(.,pressurewaves)generatedinsidethevocaltractandwhosearrangementisgovernedbytherulesoflanguage.
(2),reachingthelistener'sears.
(3),therebycompletingthechainofeventsthatculminate[达到顶点]inthetransferofinformationfromthespeakertothelistener.
Thespeech-productionprocessmaybeviewedas
aformoffiltering,-sectionalarea,beginningattheglottis(.,theopeningbetweenthevocalcords),thespectrum(.,frequencycontent)isshapedbythefrequencyselectivityofthevocaltract;(.,thedistributionoflong-termaveragepowerversusfrequency)ofspeechapproacheszeroforzerofrequencyandreachesapeakintheneighborhoodofafewhundred
,however,,thetypeofcommunicationsystembeingconsideredhasanimportantbearingonthebandoffrequenciesconsideredtobe"essential",asmentionedpreviously,abandwidthof300to3100Hzisconsideredadequateforcommercialtelephoniccommunication.
(2)Thesecondsourceofinformation,music,originatesfrominstrumentssuchasthepiano,violin,
keyonapiano,,musichastwostructures:,,,musicalsignalsdemandamuchwiderchannelbandwidththanspeechsignalsfortheirtransmission.
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