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1、信息論與編碼理論中的英文單詞和短語信息論與編碼理論TheoriesoflnformationandCoding第一章介紹Chapter 1Introduction信息論information theory編碼理論coding theory發(fā)出emit字節(jié)bit二進制binary二進制對稱源binary symmetric source二進制對稱信道binary symmetric channel原始字節(jié)錯誤率raw bit error probability編碼encode字節(jié)錯誤率bit error probability噪音noise冗余redundant相互校驗cross check編碼

2、算法codding algorithm錯誤模式error pattern綜合synthesis漢明碼Hamming code單獨錯誤校正碼single-error-correcting code速率rate二進制熵函數(shù)binary entropy function能量capacity信道編碼理論channel coding theory比特bits (binary digits)自然碼natural digits熵函數(shù)entropy function可能向量probability vector條件熵conditional entropy離散記憶信道discrete memory channel

3、過渡可能性transition probability產(chǎn)出output邊際分布marginal distritution互信息mutual information啟發(fā)式heuristic聯(lián)合熵joint entropy維恩圖Venn diagram馬爾可夫鏈Markov chain限定函數(shù)definite function串聯(lián)tandem數(shù)據(jù)過程配置data-processing configuration凸組合convex combination操作manipulation速記法shorthand通信系統(tǒng)communication system連續(xù)信息輸出continuous source

4、outputs編碼員coder映射map目標destination數(shù)據(jù)過程定理data-processing theorem離散量化discrete quantization改進/精煉refinement密度density中值定理mean value theorem表面相似superficial resemblance網(wǎng)格mesh微分熵differential entropy琴生不等式Jensen inequality確定信道determinate channel第二章信息理論Chapter 2Information Theory第三章離散無記憶信第四章離散無記憶信道和容量成本l=J源和扭曲率

5、方方程Chapter 3Discrete Memory less Channels and their Capacity-Cost EquationsChapter 4Discrete Memoryless Sources and their Rate-Distortion Equations輸入符號系統(tǒng)input sign system輸出符號系統(tǒng)output sign system想象imagine無記憶假設memoryless assumption平均成本average cost容量成本方程capacity-cost equation驗證源頭test-sourcen維容許驗證源頭n-di

6、mensional admissible test sources容許成本admissible costr對稱r-symmetry系統(tǒng)比率rate of system超過信道容量率rates above channel capacity長length每個符號的比特bits per symbol編碼規(guī)則decoding rule區(qū)別代碼distinct code指示函數(shù)indicator function隨機編碼random coding期望值expected value弱大數(shù)定律weak law of large numbers編碼范圍decoding sphere源字母表source alp

7、habet離散無記憶信源discrete memoryless sources統(tǒng)計源source statistics目標符號object sign扭曲distortion扭曲度distortion measure平均扭曲average distortion測試通道test channel扭曲率distortion rate源編碼定理source coding theorem向后測試通道backwards test channel哈莫名扭曲度Hamming distortion measure錯誤扭曲率error probability distortion rate數(shù)據(jù)壓縮定理data-co

8、mpression theorem目的符號destination symbols數(shù)據(jù)壓縮系統(tǒng)data compression scheme罰函數(shù)penalty function無限制和unrestricted sum內(nèi)部和inner sum第五章高斯信道和信Chapter 5Gaussian Channel and Source伏特voltage傳送transmit信號signal瓦watts耗散dissipate焦耳joule白高斯噪聲過程white Gaussian noise process噪聲錯誤密度noise spectral density帶寬bandwidth波段限制band-l

9、imited功率限制power-limited第n項容量成本 函數(shù)n-th capacity-cost function平方錯誤squared-error總的容量成本函數(shù)噪聲密度overall capacity-cost function oink density算術-幾何均值arithmetic-geometric average value離散時間無記憶高斯信源discrete-time memoryless Gaussian source均值平方錯誤標準mean-squared error criterion高斯分布gaussion distribution高斯信源每個符號均值平方扭曲G

10、aussiansourceper-symbolper-symbol mean-squared distortion信源統(tǒng)計source statistics傳送率rate of transmission沖突conflict信源-信道編碼理論source-channel coding theorem數(shù)據(jù)傳輸定理data-processing theorem中間向量intermediate vector最壞扭曲worst-case distortion每個符號基礎per-symbol basis分解decomposition傳送編碼transmitted coding負擔afford交易trade

11、off可實現(xiàn)區(qū)域realizable region觀點standpoint第七章第一部分訪問先進標題第六章信源-信道編碼Chapter 7Survey of Advanced Topics forPart One理論Chapter 6Source-Channel Coding Theory信息源information source噪聲源noisy source數(shù)據(jù)處理data processing量子化quantization調(diào)節(jié)modulation連續(xù)塊successive block發(fā)出信道輸出符號emit channel output symbols一對一通信one-to-one cor

12、respondence實驗來源test source信源序列source sequence目的序列destination sequence攣生珍珠twin pearls有限阿貝爾交換群finite Abelian commutative group各態(tài)經(jīng)歷隨機過程ergodic random process熵entropy添加各態(tài)噪音信道additive ergodic noise channel漸進線均分性質asymptotic average property高斯過程Gaussian process多終端信道m(xù)ultiterminal channel反饋feedback發(fā)送人seeder接

13、受人receiver多通道信道m(xù)ulti-access channel擦掉符號erasure symbol矛盾contradiction比率rate廣播信道broadcast channel容量區(qū)域capacity region高對稱度high degree of symmetry測試信源test sources輸入符號信道input signal channel全局最大global maximum添加各態(tài)噪音additive ergodic noise信道的可靠性闡述reliability exponent of channel關鍵率critical rate線性碼linear code時間

14、改變卷積碼time-varying convolutional編碼-信道-譯碼encoder-channel-decoder外部信道outer channel內(nèi)部編碼inner code外部編碼outer code弱顛倒weak converse強顛倒strong converse術語term傳輸率rate of transmission錯誤指數(shù)error exponent強近似strong similarity選擇兩重性rather duality扭曲率理論distortion rate theory源編碼法source coding method單字母扭曲度量single-letter d

15、istortion measure含義implication輪廓configuration錯誤可能性error probability半平面界half-plane bound接待reception離散時間穩(wěn)定高斯信源discrete-time stable穩(wěn)定高斯序列stable Gaussian sequence譜密度spectral density樹碼tree codes實際觀點practical standpoint生成矩陣generator matrix行空間row space奇偶校驗矩陣parity-check matrix規(guī)范形式canonical form錯誤模式error pa

16、ttern傍系coset對稱信道symmetric channel漢明權Hamming wight表格查驗table lookup標準排列standard array強調(diào)italicized度量空間metric space漢明距離Hamming distance穿過interect最小權重minimum weight單錯誤校正single-error-correcting完全碼perfect codes重復碼repetition codes二進制漢明碼binary Hamming codes檢測detect電子校驗e-correctingF-檢測H-detecting類似校驗矩陣parity-

17、check matrix雙錯誤檢測double-error-detecting權重計數(shù)器weight enumerator同態(tài)homomorphism趨于增加組multiplicative group不確定indeterminate第九章循環(huán)碼Chapter 9 Cyclic Codes第八章線性碼突發(fā)性錯誤burst errors表面無害定理definition of innocuous-appearing循環(huán)位移cyclic shift一般循環(huán)trivial cyclic無信息碼no-information codeChapter 8 Linear codes單等價校驗碼single-pa

18、rity-check code無等價碼no-equivalent code右循環(huán)位移right cyclic shift母函數(shù)generating function生成多項式generator polynomial互惠的reciprocal循環(huán)性質cyclic property分解decomposition傳送編碼transmitted codeword轉換登記編碼shift-register encoder突變加法器flip-flops adders常數(shù)乘法器constant multipliers延遲delay脈沖響應impulse response狀態(tài)向量state vector狀態(tài)多項

19、式state polynomial輸入流input stream反順序reverse order線性遞歸linear recursion最右面的突變rightmost flip-flop模2加法器mod-2 adder循環(huán)cyclic二域two-field原始多項式primitive polynomial譯碼循環(huán)decoding cycle循環(huán)旅程circular journey低位移寄存器lower shift register突發(fā)錯誤校正burst-error-correcting模式pattern突發(fā)描述burst description位置location含糊不清ambiguity零操

20、作zero run突發(fā)錯誤校正碼burst-error correcting code阿布拉門遜界Abramson bounds嚴格阿布拉門遜界strict Abramson bound弱阿布拉門遜界weak Abramson boundReiger 界Reiger bound松散loose阿布拉門遜碼Abramson code交錯interleavingDe交錯De-interleaving3度交錯depth-3 interleaving交錯操作interleaving operation復雜算法elaborate algorithm法爾碼Fire code法爾結構Fire construc

21、tion爆發(fā)阻塞算法burst-trapping algorithm爆發(fā)錯誤校正編碼burst-error-correcting code左對齊left-justified陷阱,阻塞trap爆發(fā)錯誤模式burst-error pattern米戈蒂引理Meggitt lemma切換顯示shift-register環(huán)路circuit最左面的突變leftmost flip-flop y第十章香農(nóng)碼和相關Chapter 10 Shannon Codes and Related Codes香農(nóng)碼Shannon code范德蒙德行列式理論Vandermonde determinant theory初始相同

22、檢驗矩 陣original parity-check matrix最小多項式minimal polynomial關鍵方程key equation離散傅里葉變換discrete Fourier transform時間領域time-domain頻數(shù)領域frequency-domain細致subtlety時間轉換time shift相位轉換phase shift支撐集合support set評估多項式evaluator polynomial規(guī)范派生formal derivative頻數(shù)主導遞歸frequency-domain recursion下標subscript定位多項式locator poly

23、nomial錯誤模式error pattern扭曲錯誤模式twisted error pattern復原模reduced mode錯誤定位error location錯誤評估多項式error-evaluator polynomial歐幾里得算法Euclid algorithm份額quotient促進facilitate時間主導方法time-domain approach錯誤定位器error-locator試錯法trial and error偽碼片段pseudocode fragment遞歸recursion反常abnormal復雜理論elaborate theory多倍錯誤校正線性碼multi

24、ple-error-correcting linear code代碼字符code character最大距離可分碼maximum-distance separable codes插值法性質interpolation property信息集合information set插值算法interpolation algorithm遞歸結束recursive completion偽碼pseudocode連鎖碼concatenated coding爆發(fā)錯誤校正burst-error-correction描述depict非因子unfactor缺陷flaw擦掉符號erasure symbol傳遞符號transmitted symbol擴大enlarge最小距離譯碼minimum-distance decoding擦除集合erasure set擦除位置多項式erasure-location polynomial錯誤擦除位置多項式errors and erasures-locator-polynomial錯誤擦除評估多項式errors-and-erasures-evaluator polynomial修正綜合多項式modified syndrome polynomial多項式乘法polynomial multiplication頻數(shù)域freq

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