... bandwidth constraintNyquist bandwidth constraint:The theoretical minimum required system bandwidth to detect Rs [symbols/s] without ISI is Rs/2 [Hz]. Equivalently, a system with bandwidth ... filterEqualizingfilterThreshold comparisonFor bandpass signalsCompensation for channel induced ISIBaseband pulse(possibly distored)Sample(test statistic)Baseband pulseReceived waveformStep 1 – ... [symbols/s] without ISI.Bandwidth efficiency, R/W [bits/s/Hz] : An important measure in DCs representing data throughput per hertz of bandwidth.Showing how efficiently the bandwidth resources...
... features of digital communication systemsSome basic concepts and definitions such as as signal classification, spectral density, random process, linear systems and signal bandwidth.Lecture ... streamFormatFormat Digital info.Textual info.Analog info.Textual info.Analog info. Digital info.sourcesinkFormatting and transmission of baseband signalLecture 2 21M-ary pulse modulation M-ary ... with a digital systemLecture 2 20Spectra of PCM waveformsLecture 2 10Encoding (PCM)A uniform linear quantizer is called Pulse Code Modulation (PCM).Pulse code modulation (PCM): Encoding...
... PAMTt)(1tψT10 Digital Communications I: Modulation andCoding Course Term 3 - 2008Catharina LogothetisLecture 5Lecture 5 2Last time we talked about:Receiver structureImpact of AWGN and ISI ... noise vector are i.i.d Gaussian random variables with zero-mean and variance . The noise vector pdf isThe elements of observed vector are independent Gaussian random variables. Its pdf is), ... to maximize SNRMatched filter and correlator receiverSignal space used for detectionOrthogonal N-dimensional spaceSignal to waveform transformation and vice versaLecture 5 7Detection...
... and evaluation of the code.Block codes are based on algebraic/combinatorial techniques.Convolutional codes are based on construction techniques. Digital Communications I: Modulation and ... encoder.Lecture 10 10Effective code rateInitialize the memory before encoding the first bit (all-zero)Clear out the memory after encoding the last bit (all-zero)Hence, a tail of zero-bits is ... of data bits and k=1 is assumed:dataEncodercodewordtailceffRKLnLR <−+=)1(Lecture 10 4Convolutional codesConvolutional codes offer an approach to error control coding substantially...
... ,zzZZZZZ==ZChannelLecture 10 2Last time, we talked about:Channel coding Linear block codesThe error detection and correction capabilityEncoding and decodingHamming codesCyclic codesLecture 10 ... design and evaluation of the code.Block codes are based on algebraic/combinatorial techniques.Convolutional codes are based on construction techniques. Digital Communications I: Modulation and ... specified by three parameters or whereis the coding rate, determining the number of data bits per coded bit.In practice, usually k=1 is chosen and we assume that from now on.K is the constraint...
... error correction coding? Error performance vs. bandwidthPower vs. bandwidthData rate vs. bandwidthCapacity vs. bandwidth (dB) /0NEbBPAFBDCEUncodedCoded Coding gain:For ... cosetkknknknkk2222222222221UeUeeUeUeeUUU⊕⊕⊕⊕−−−LMOLMLLzero codewordcosetcoset leaderskni−=2, ,3,2nVieth:i Digital Communications I: Modulation andCoding Course Period 3 - 2007Catharina LogothetisLecture 9Lecture 9 36Cyclic ... detection and correction codesLecture 9 28Linear block codes – cont’dStandard array For row , find a vector in of minimum weight which is not already listed in the array. Call this pattern and...
... information provides the decoder with a measure of confidence for the decision. Digital Communications I: Modulation andCoding Course Period 3 - 2007Catharina LogothetisLecture 12 ... each state, and keeps only the path with the largest metric, called the survivor, together with its metric.Lecture 12 6Soft and hard decision decoding …ML soft-decisions decoding rule:Choose ... code uses two levels on coding, an inner code and an outer code (higher rate).Popular concatenated codes: Convolutional codes with Viterbi decoding as the inner code and Reed-Solomon codes...
... levels. Decoding based on soft-bits, is called the “soft-decision decoding”.On AWGN channels, 2 dB and on fading channels 6 dB gain are obtained by using soft-decoding over hard-decoding.Lecture ... state101010110111001000111001111000000S1S2S3S0S2S0S2S1S3S3S1S0S1S2S3S1/111/001/011/100/110/000/010/10InputOutput(Branch word) Modulation, Demodulation and Coding Course Period 3 - 2007Catharina LogothetisLecture 11 ... level) which are called “hard-bits”.Decoding based on hard-bits is called the “hard-decision decoding”.Lecture 11 23Example of Hard decision Viterbi decoding-cont’di=302012101101221021116t1t2t3t4t5t102...
... InputOutputLinear system Digital Communication I: Modulation andCoding Course Period 3 - 2007Catharina LogothetisLecture 1Lecture 1 12 Digital versus analogAdvantages of digital communications: Regenerator ... issues in designing a digital communication system (DCS):Utilized techniquesFormatting and source coding Modulation (Baseband and bandpass signaling)Channel coding EqualizationSynchronization ... ergodic in mean and autocorrelation, if and , respectively.Lecture 1 7Practical information Course material Course text book: Digital communications: Fundamentals and Applications”...
... variance:2Sat2Lin222)()(})]({[σσσ+==−=∫∞∞−dxxpxexqxqEllLllqxpq)(12212/022Lin∑−==σUniform q.1222Linq=σ Digital Communications I: Modulation andCoding Course Period 3 – 200/Catharina LogothetisLecture 2Lecture 2 18PCM waveformsPCM ... about:Important features of digital communication systemsSome basic concepts and definitions as signal classification, spectral density, random process, linear systems and signal bandwidth.Lecture ... NRZLecture 2 21M-ary pulse modulation M-ary pulse modulations category:M-ary pulse-amplitude modulation (PAM)M-ary pulse-position modulation (PPM)M-ary pulse-duration modulation (PDM)M-ary...
... with a digital system Sampling Aliasing Quantization Uniform and non-uniform Baseband modulation Binary pulse modulation M-ary pulse modulation M-PAM (M-ay Pulse amplitude modulation) Lecture ... symbolMi ,,1 K=M-ary modulation Lecture 3 13Baseband and bandpass Bandpass model of detection process is equivalent to baseband model because: The received bandpass waveform is first ... goals. First, we focus on designing a receiver which maximizes the SNR. Digital Communication I: Modulation andCoding Course Period 3 - 2007Catharina LogothetisLecture 3Lecture 3 20Implementation...
... filters)()( tTstrzii−∗=∗Mi , ,1=), ,,())(), ,(),((2121 MMzzzTzTzTz==z Digital Communications I: Modulation and Coding Course Period 3 - 2007Catharina LogothetisLecture 4Lecture 4 11Signal ... A01s2sTATA−00Tt)(1tψT100)()()()()()()(),(/)(/)()()(12201212111102211=−−=−=>=<====∫∫tAtstdAdtttsttsAtsEtstAdttsETTψψψψ12Lecture 4 3Receiver job Demodulation and sampling: Waveform recovery and preparing the received signal for detection: Improving the signal ... filterEqualizingfilterThreshold comparisonFor bandpass signalsCompensation for channel induced ISIBaseband pulse(possibly distored)Sample(test statistic)Baseband pulseReceived waveformStep 1 –...
... PAMTt)(1tψT10 Digital Communications I: Modulation andCoding Course Period 3 - 2007Catharina LogothetisLecture 5Lecture 5 20Eb/No figure of merit in digital communications SNR ... noise vector are i.i.d Gaussian random variables with zero-mean and variance . The noise vector pdf is The elements of observed vector are independent Gaussian random variables. Its pdf is), ... liesPr()()(1)(iciemPmP−=imisziZsent) and ˆPr()(iiiemmmmP≠=Lecture 5 16Union bound Let denote that the observation vector is closer to the symbol vector than , when is transmitted. depends only on and . Applying...
... Polytechnic Institute and State UniversityBlacksburg, VirginiaMulti-Carrier Digital Communications: Theory and Applications of OFDMAhmad R. S. Bahai and Burton R. SaltzbergPrinciples of Digital Transmission: ... publisher.Multi-Carrier Digital Communications Theory and Applications of OFDMIntroduction to DigitalCommunications 11(illustrated in Figure 1.6). Unlike the non-bandlimited OFDM, each carriermust ... the modulation and demodulation processes [7]. Fortunately, this occurred at the same time digital signal processing techniques were being introduced into the design ofMulti-Carrier Digital Communications Theory...
... Industry and Economics The UNEP Division of Technology, Industry and Economics (DTIE) helps governments, local authorities and decision-makers in business and industry to develop and implement ... The economic and social context for sustainability communications 1. CSR and communication : regulation, controls and voluntary initiatives a) Definitions: legalistic and voluntaristic ... Economics and Management 43(3), 339-359 See the bibliography on sustainable development and on Communicationsand Sustainable Development 30 3 - Sustainable development and its...