... 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...
... ,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 ... codewordcosetcoset leaderskni−=2, ,3,2nVieth:iDigital Communications I: Modulation andCoding Course Period 3 - 2007Catharina LogothetisLecture 9Lecture 9 36Cyclic block codesAlgebraic ... 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...
... 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 ... 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 ... the decoder with a measure of confidence for the decision.Digital Communications I: Modulation andCoding Course Period 3 - 2007Catharina LogothetisLecture 12...
... 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...
... 6Scope of the course …Learning fundamental issues in designing a digital communication system (DCS):Utilized techniquesFormatting and source coding Modulation (Baseband and bandpass signaling)Channel ... UserLecture 1 25Bandwidth of signal …Different definition of bandwidth:a) Half-power bandwidthb) Noise equivalent bandwidthc) Null-to-null bandwidtha) Fractional power containment bandwidthb) ... ergodic in mean and autocorrelation, if and , respectively.Lecture 1 7Practical information Course material Course text book: “Digital communications: Fundamentals and Applications”...
... 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 ... Sampling Aliasing Quantization Uniform and non-uniform Baseband modulation Binary pulse modulation M-ary pulse modulation M-PAM (M-ay Pulse amplitude modulation) Lecture 3 10Example: Channel ... tr. and equal energy per tr. data bit for binary-PAM and 4-ary PAM:• 4-ary: T=2Tb and Binay: T=Tb•4-ary PAM(rectangular pulse)Binary PAM(rectangular pulse)‘11’2210BA =Lecture 3 8Demodulation...
... tTstrzii−∗=∗Mi , ,1=), ,,())(), ,(),((2121 MMzzzTzTzTz==zDigital Communications I: Modulation and Coding Course Period 3 - 2007Catharina LogothetisLecture 4Lecture 4 11Signal space … ... 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 –...
... PAM)(1tψ02s3s52bE56bE56bE−52bE−4s1s4-ary PAMTt)(1tψT10Digital Communications I: Modulation andCoding Course Period 3 - 2007Catharina LogothetisLecture 5Lecture 5 20Eb/No figure of merit ... 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...
... and highlight the Definition elements.This command can be used to intersect with 3D-wireframe geometry, Solids and Surfaces.SelectedelementsSketchelementsAIRBUS UK CATIA V5 Foundation Course DMS42188 ... not active a new part will be activated and you will be prompted toenter a part name by following panel on the desktop. Enter a name and click on OK and a new CATPart will open.Note: If the ... the Tangent Arc icon and click to indicate the end of the arc.2. Click and dragging the mouse pointer in the direction you wish the arc to appear,then release the button and the sketch tool...
... both the pro-moter andcoding regions, and histones are acetylated and displaced [56–58]. However, the presence of SAGA and SWI ⁄ SNF, and a high density of Pol II within the coding region, are ... acetylase and deacetylase modulate chroma-tin structure and fine-tune transcription [58]. The his-tone chaperones Asf1, Spt6 and Spt16 are involved inhistone eviction and redeposition, and inactivation ... a-helices (H1, H2 and H3), four b-sheets (S1, S2, S3 and S4), a ‘turn’of the helix-turn-helix motif and a disordered loop referred to as a ‘wing’. The linker region connects between the DBD and the HR-A...