88E1116R_Datasheet
88E1116R_Datasheet，marvell以太网phy芯片手册，全本88E1116RM A RV E LL. Alaska Gigabit Ethernet TransceiverOVERVIEWFEATURESThe Alaska 88E1116R Gigabit Ethernet Transceiver is10/100/1000BASE-TIEEE 802.3 complianta physical layer device containing a single GigabitSupports reduced pin count GMII(RGMID)interfaceEthernet transceiver. The transceiver implements theFour RGMii timing modesEthernet physical layer portion of the 1000BASE-T,100BASE-TX. and 10base-t standards. t is manufacIntegrated mdi interface termination resistors thateliminate twelve passive componentstured using standard digital CMOS process and con-tains all the active circuitry required to implement theEnergy Detect and Energy Detect+ low powerphysical layer functions to transmit and receive data onmodesstandard Cat 5 unshielded twisted pairThree loopback modes for diagnosticsThe 88E1116R device has two regulators to generateDownshift"mode for two-pair cable installationsall required voltages. The 88E1116R device can beFully integrated digital adaptive equalizers, echopowered by a single 1.8V, 2.5V, or 3. 3V supply Alternacancellers, and crosstalk cancellerstively, if the regulators are not used, then the 88E1116RAdvanced digital baseline wander correctiondevice can be powered by a 1. 8v and 1.2V supplyAutomatic MDi/MDIX crossover at all speeds ofThe 88E1116R device incorporates the Marvell@ VirtualoperationCable Tester (VCTTM)feature, which uses TimeAutomatic polarity correctionDomain Reflectometry(TDR)technology for the remotelEEE 802. 3u compliant Auto-Negotiationidentification of potential cable malfunctions, thusSoftware programmable LEd modes including LEDreducing equipment returns and service calls. UsingtestingVCT, the alaska 88E1116R device detects and reportspotential cabling issues such as pair swaps, pair polar-Supports IEEE 1149.1 JTAGity and excessive pair skew. The device will also detectMDC/MDIO Management Interfacecable opens, shorts or any impedance mismatch in theCRC checker, packet countercable and reporting accurately within one meter the disPacket generationtance to the faultVirtual Cable Tester(VCT)The 88E1116R device integrates MDI interface terminaAuto-Calibration for MAc Interface outputstion resistors into the Phy. this resistor integrationComa Mode supportfacilitates board layout and reduces board cost byRequires a single 1.8v supplyreducing the number of extenal components. The new10 pads can be supplied with 1.8V, 2.5V, or 3. 3VMarvell calibrated resistor scheme will achieve andexceed the accuracy requirements of the IEEE 802.3Two regulators generate all required voltagesRegulator can be supplied with 1.8V,2.5V or 3.3Vreturn loss specificationsCommercial gradeThe 88E1116R device supports the reduced gmll64-Pin QFN package(RGMI)for direct connection to a MAC/Switch portThe 88E1116R device uses advanced mixed-signal processing to perform equalization, echo and crosstalkcancellation, data recovery, and error correction at agigabit per second data rate. The device achievesrobust performance in noisy environments with very lowpower dissipationThe 88E 1116R device is offered in a 64-pin QFn pack-The 88E1116R device is footprint compatible with the88E1116 device As the 88E 1116R device employs integrated MDi interface terminations, all external mDIinterface termination resistors and capacitors must beremoved when migrating from the 88E1116 to88E1116R. See 88E1116 to 88E1116R Migration Appli-cation note for more detailsCopyright o 2007 MarvellCONFIDENTIALDoC. No. MV-S104224-00. Rev.March 1. 2007. AdvanceDocument Classification: Proprietary InformationPage 388E1116RMARVELLo Alaska Gigabit Ethernet TransceiverMagnMedia Types10/1001000Mbps88E1116R|a盖10BASEEthernet macRJ-45Device100BASE-TX1000BASE-TMAC InterfaceRGMII88E1116R Device used in Copper ApplicationDoc. No. MV-S104224-00. Rev.CONFIDENTIALCopyright o 2007 MarvellPage 4Document Classification: Proprietary InformationMarch 1. 2007. AdvanceTable of contentsSECTION 1. SIGNAL DESCRIPTION1.1 Pin Description101.1.1 Pin Type Definitions1264 Pin QFN Pin Assignment List- Alphabetical by Signal Name.……,…,,…,161.3 O State at Various Test or reset modes .mmm.,17SECtION 2. FUNCTIONAL SPECIFICATIONS2.1 Copper Media Interface..国面画192.2 MAC Interface(RGMII)4192.2.1 10/100 Mbps Functionality2.2.2 TX ER and RX ER Codingaaaaaiiaia t23Lo。 pback……………,….….….,.,…….…,…,….….……,…….……………212.3.1 MAC Interface Loopback212.3.2 Line Loopback.222.3.3 EXternal Loopback24 Synchronizing F|FQ….…,,…,…,,,,,,…,,,,,…,,,…,,,,…,……242.5 Copper Media Transmit and receive Function.man..m日a252.5.1 Transmit side Network Interface252.5.2 Encoder2.5.3 Receive Side Network Interface2.5. 4 Decoder2.6 Regulators and Power Supplies282.6.1 AVDD2.6.2 AVDDC282.6.3 AVDDR292.6.4 AVDDX2.6.5DVDD…292.6.6 VDDO26.7 VDDOR.292.7 Power Management302.7.1 Low Power Modes2.72 Low Power Operating Modes……2.7.3 RGMl Effect on Low Power modes3228Auto- Negotiation.........……33Copyright o 2007 MarvellCONFIDENTIALDoC. No. MV-S104224-00. Rev.March 1. 2007. AdvanceDocument Classification: Proprietary InformationPage 588E1116RMARVELL Alaska Gigabit Ethernet Transceiver2.9 Downshift Feature…352.10 Advanced virtual Cable Tester362.10.1 Maximum Pe2.10.2 First Peak372.10.3 Offsetp2. 10. 4 Sample Poin2.10.5 Pulse Amplitude and Pulse Width392. 10.6 Drop Link...392.10.7 VCTTM With Link Up392.11 Data Terminal Equipment (DTE)Detect........2.12 CRC Error Counter and frame Counter412.12. 1 Enabling the crc error counter and frame counter.412.13 Packet generator412.14 MDI/MDIX Crossover422.15P。 olarity Correction..…432.16LED,,,,,,,,,,,…,…,,442.16.1 LED Polarity452.16.2 Pulse Stretching and Blinking.462. 16.3 Bi-Color LED Mixing472.16.4 Modes of Operation482.17 EEE 1149.1 Controller522.17.1 BYPASS Instruction522.17.2 SAMPLE/PRELOAD Instruction.52217.3 EXTEST Instruction552,17.4 The clamP Instruction552,17.5 The high-z Instruction552.17.6 ID CODE Instruction552.18 Interrupt.552.19 Automatic and Manual Impedance Calibration.……,…,…,…,…,…,…,……562. 19. MAC Interface calibration circuit562.19.2 MAC Interface Calibration Register Definitions2. 19.3 Changing Auto Calibration Targets2. 19. 4 Manual Settings to The Calibration Registers“““582.20 Configuring the 88E1116R Device..2.20. 1 Hardware Configuration612.20.2 Software Configuration-Management Interface632.21 Temperature sensor64Doc. No. MV-S104224-00. Rev.CONFIDENTIALCopyright o 2007 MarvellDocument Classification: Proprietary InformationMarch 1. 2007. AdvanceSECTION 3 REGISTER DESCRIPTION65SECTION 4, ELECTRICAL SPECIFICATIONS1104.1. Absolute Maximum Ratings,…,…,…,…,,…,…,…,…,…,…,,…,…,……,1104.2. Recommended Operating Conditions..,,.,……,,……1114.3. Package Thermal Information.………….……….…………1124.3.1 Thermal Conditions for 64-pin QFn Package1124. 4. Current Consumption...........面量量…1134.4.1 Current Consumption AVDD..1134.4.2 Current Consumption AVDDC..1134.4.3 Current Consumption AVDDR1144.4.4 Current Consumption AVDDX1144.4.5 Current Consumption DVDD4.4.6 Current Consumption VDDo1154.4.7 Current Consumption VDDOR1154.4.8 Current Consumption Center Tap1154.5. DC Operating Conditions1164.5.1 Non-RGMlI Digital Pins1164.5.2 Internal resistor Description4.5.3 Stub-Series Transceiver LogIc (55/.21174.5 4 EEE DC Transceiver Parameters1194.6. AC Electrical Specifications1204.6.1 Reset Timing ..1204.6.2 XTAL IN/XTAL OUT Timing1214.6.3 LED to CONFIG Timing1214.7 RGMII Interface Timing……,,…1224.7.1 RGMl AC Characteristics4.7.2 RGMII Delay Timing for different RGMiI Modes1234.8. MDC/MDIO Timing…12549. JTAG Timing…,,…1264.10.EEE AC Transceiver parameters1274.11. Latency Timing........….…1284.11.1 RGMII to 1000BASE-T Transmit Latency Timingaa“aa1284.11.2 RGMII to 100BASE-TX Transmit Latency Timing1284.11.3 RGMiI to 10BASE-T Transmit Latency Timing4. 11. 4 1000BASE-T to RGMll Receive Latency Timing1304. 11.5 100BASE-TX to RGMII Receive Latency Timing.1304.11.610 BASE-T to RGMll Receive Latency Timing……….….…………,130SECTION 5. PACKAGE MECHANICAL DIMENSIONS1315.1 64-Pin QFN Package...131Copyright o 2007 MarvellCONFIDENTIALDoC. No. MV-S104224-00. Rev.March 1. 2007. AdvanceDocument Classification: Proprietary InformationPage 788E1116RMARVELL Alaska Gigabit Ethernet TransceiverSECTION 6. ORDER INFORMATION1336.1 Ordering Part Numbers and Package Markings1336.1.1 RoHS 5/6 Marking Example1346.1.2 RoHS 6/6 Marking Example135Doc. No. MV-S104224-00. Rev.CONFIDENTIALCopyright o 2007 MarvellPage 8Document Classification: Proprietary InformationMarch 1. 2007. AdvanceSignal DescriptionSection 1. Signal DescriptionThe 88E1116R device is a 10/100/1000BASE-T Gigabit Ethernet transceiverFigure 1: 88E1116R Device 64-Pin QFN Package(Top view)文gg9廿廿廿廿廿廿凵廿廿廿凵廿守令导好寸守哥导$85#將RX CTRL4932TSTPTRXDIO5031MDIPIORXD[51EPAD-VSS30d MDIN[O]VDDOR52290 AVDDRX CLK5328叫NCRXD[2]54AVDDRXD]5526MD|P[1VDDOR56VREF57MARVEL L③24E MDIP[2TXD0]□5823MDIN[2TXD[1]B5988E1116R22AVDDTX_CLK F6021AVDDTXD[2Top ViewMDIP[3TXD3]□62190 MDIN[3]TⅩCTRL6318□NCCONFIG[O]64CTRL18三s回口cc×O百口口艺艺安安Copyright o 2007 MarvellCONFIDENTIALDoc. No. MV-S104224-00 RevMarch1.2007. AdvanceDocument Classification: Proprietary InformationPage 988E1116RMARVELL. Alaska Gigabit Ethernet Transceiver1.1 Pin Description1.1.1 Pin Type DefinitionsPin Ty peDefinitionHInput with hysteresisVOInput and outputInput onlOutput onlPUIntemal pullPDInternal pull downOpen drain outputTri-state outputADC sink capabilityDoC. No. MV-S104224-00 RevCONFIDENTIALCopyright o 2007 MarvellPage 10Document Classification: Proprietary InformationMarch.2007. Advance
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Finite-Dimensional Vector Spaces - P. Halmos (Springer, 1987)
在学习代数学之余，值得一看的代数学书籍。里面介绍了更为丰富的代数学概念和结论。PREFACEMy purpose in this book is to treat linear transformations on finite-dimensional vector spaces by the methods of more general theories. Theidea is to emphasize the simple geometric notions common to many partsof mathematics and its applications, and to do so in a language that givesaway the trade secrets and tells the student what is in the back of the mindsof people proving theorems about integral equations and Hilbert spaces.The reader does not, however, have to share my prejudiced motivationExcept for an occasional reference to undergraduate mathematics the bookis self-contained and may be read by anyone who is trying to get a feelingfor the linear problems usually discussed in courses on matrix theory orhigher"algebra. The algebraic, coordinate-free methods do not lose powerand elegance by specialization to a finite number of dimensions, and theyare, in my belief, as elementary as the classical coordinatized treatmentI originally intended this book to contain a theorem if and only if aninfinite-dimensional generalization of it already exists, The temptingeasiness of some essentially finite-dimensional notions and results washowever, irresistible, and in the final result my initial intentions are justbarely visible. They are most clearly seen in the emphasis, throughout, ongeneralizable methods instead of sharpest possible results. The reader maysometimes see some obvious way of shortening the proofs i give In suchcases the chances are that the infinite-dimensional analogue of the shorterproof is either much longer or else non-existent.A preliminary edition of the book (Annals of Mathematics Studies,Number 7, first published by the Princeton University Press in 1942)hasbeen circulating for several years. In addition to some minor changes instyle and in order, the difference between the preceding version and thisone is that the latter contains the following new material:(1) a brief dis-cussion of fields, and, in the treatment of vector spaces with inner productsspecial attention to the real case.(2)a definition of determinants ininvariant terms, via the theory of multilinear forms. 3 ExercisesThe exercises(well over three hundred of them) constitute the mostsignificant addition; I hope that they will be found useful by both studentPREFACEand teacher. There are two things about them the reader should knowFirst, if an exercise is neither imperative "prove that.., )nor interrogtive("is it true that...?" )but merely declarative, then it is intendedas a challenge. For such exercises the reader is asked to discover if theassertion is true or false, prove it if true and construct a counterexample iffalse, and, most important of all, discuss such alterations of hypothesis andconclusion as will make the true ones false and the false ones true. Secondthe exercises, whatever their grammatical form, are not always placed 8oas to make their very position a hint to their solution. Frequently exer-cises are stated as soon as the statement makes sense, quite a bit beforemachinery for a quick solution has been developed. A reader who tries(even unsuccessfully) to solve such a"misplaced"exercise is likely to ap-preciate and to understand the subsequent developments much better forhis attempt. Having in mind possible future editions of the book, I askthe reader to let me know about errors in the exercises, and to suggest im-provements and additions. (Needless to say, the same goes for the text.)None of the theorems and only very few of the exercises are my discovery;most of them are known to most working mathematicians, and have beenknown for a long time. Although i do not give a detailed list of my sources,I am nevertheless deeply aware of my indebtedness to the books and papersfrom which I learned and to the friends and strangers who, before andafter the publication of the first version, gave me much valuable encourage-ment and criticism. Iam particularly grateful to three men: J. L. Dooband arlen Brown, who read the entire manuscript of the first and thesecond version, respectively, and made many useful suggestions, andJohn von Neumann, who was one of the originators of the modern spiritand methods that I have tried to present and whose teaching was theinspiration for this bookP、R.HCONTENTS的 FAPTERPAGRI SPACESI. Fields, 1; 2. Vector spaces, 3; 3. Examples, 4;4. Comments, 55. Linear dependence, 7; 6. Linear combinations. 9: 7. Bases, 108. Dimension, 13; 9. Isomorphism, 14; 10. Subspaces, 16; 11. Calculus of subspaces, 17; 12. Dimension of a subspace, 18; 13. Dualspaces, 20; 14. Brackets, 21; 15. Dual bases, 23; 16. Reflexivity, 24;17. Annihilators, 26; 18. Direct sums, 28: 19. Dimension of a directsum, 30; 20. Dual of a direct sum, 31; 21. Qguotient spaces, 33;22. Dimension of a quotient space, 34; 23. Bilinear forms, 3524. Tensor products, 38; 25. Product bases, 40 26. Permutations41; 27. Cycles,44; 28. Parity, 46; 29. Multilinear forms, 4830. Alternating formB, 50; 31. Alternating forms of maximal degree,52II. TRANSFORMATIONS32. Linear transformations, 55; 33. Transformations as vectors, 5634. Products, 58; 35. Polynomials, 59 36. Inverses, 61; 37. Mat-rices, 64; 38. Matrices of transformations, 67; 39. Invariance,7l;40. Reducibility, 72 41. Projections, 73 42. Combinations of pro-jections, 74; 43. Projections and invariance, 76; 44. Adjoints, 78;45. Adjoints of projections, 80; 46. Change of basis, 82 47. Similarity, 84; 48. Quotient transformations, 87; 49. Range and null-space, 88; 50. Rank and nullity, 90; 51. Transformations of rankone, 92 52. Tensor products of transformations, 95; 53. Determinants, 98 54. Proper values, 102; 55. Multiplicity, 104; 56. Triangular form, 106; 57. Nilpotence, 109; 58. Jordan form. 112III ORTHOGONALITY11859. Inner products, 118; 60. Complex inner products, 120; 61. Innerproduct spaces, 121; 62 Orthogonality, 122; 63. Completeness, 124;64. Schwarz e inequality, 125; 65. Complete orthonormal sets, 127;CONTENTS66. Projection theorem, 129; 67. Linear functionals, 130; 68. P aren, gBCHAPTERtheses versus brackets, 13169. Natural isomorphisms, 138;70. Self-adjoint transformations, 135: 71. Polarization, 13872. Positive transformations, 139; 73. Isometries, 142; 74. Changeof orthonormal basis, 144; 75. Perpendicular projections, 14676. Combinations of perpendicular projections, 148; 77. Com-plexification, 150; 78. Characterization of spectra, 158; 79. Spec-ptral theorem, 155; 80. normal transformations, 159; 81. Orthogonaltransformations, 162; 82. Functions of transformations, 16583. Polar decomposition, 169; 84. Commutativity, 171; 85. Self-adjoint transformations of rank one, 172IV. ANALYSIS....17586. Convergence of vectors, 175; 87. Norm, 176; 88. Expressions forthe norm, 178; 89. bounds of a self-adjoint transformation, 17990. Minimax principle, 181; 91. Convergence of linear transformations, 182 92. Ergodic theorem, 184 98. Power series, 186APPENDIX. HILBERT SPACERECOMMENDED READING, 195INDEX OF TERMS, 197INDEX OF SYMBOLS, 200CHAPTER ISPACES§L. FieldsIn what follows we shall have occasion to use various classes of numbers(such as the class of all real numbers or the class of all complex numbers)Because we should not at this early stage commit ourselves to any specificclass, we shall adopt the dodge of referring to numbers as scalars. Thereader will not lose anything essential if he consistently interprets scalarsas real numbers or as complex numbers in the examples that we shallstudy both classes will occur. To be specific(and also in order to operateat the proper level of generality) we proceed to list all the general factsabout scalars that we shall need to assume(A)To every pair, a and B, of scalars there corresponds a scalar a+called the sum of a and B, in such a way that(1) addition is commutative,a+β=β+a,(2)addition is associative, a+(8+y)=(a+B)+y(3 there exists a unique scalar o(called zero)such that a+0= a forevery scalar a, and(4)to every scalar a there corresponds a unique scalar -a such that十(0(B)To every pair, a and B, of scalars there corresponds a scalar aBcalled the product of a and B, in such a way that(1)multiplication is commutative, aB pa(2)multiplication is associative, a(Br)=(aB)Y,( )there exists a unique non-zero scalar 1 (called one)such that al afor every scalar a, and(4)to every non-zero scalar a there corresponds a unique scalar a-1or-such that aaSPACES(C)Multiplication is distributive with respect to addition, a(a+n)If addition and multiplication are defined within some set of objectsscalars) so that the conditions(A),B), and (c)are satisfied, then thatset(together with the given operations) is called a field. Thus, for examplethe set Q of all rational numbers(with the ordinary definitions of sumand product)is a field, and the same is true of the set of all real numberaand the set e of all complex numbersHHXERCISIS1. Almost all the laws of elementary arithmetic are consequences of the axiomsdefining a field. Prove, in particular, that if 5 is field and if a, and y belongto 5. then the following relations hold80+a=ab )Ifa+B=a+r, then p=yca+(B-a)=B (Here B-a=B+(a)(d)a0=0 c=0.(For clarity or emphasis we sometimes use the dot to indi-cate multiplication.()(-a)(-p)(g).If aB=0, then either a=0 or B=0(or both).2.(a)Is the set of all positive integers a field? (In familiar systems, such as theintegers, we shall almost always use the ordinary operations of addition and multi-lication. On the rare occasions when we depart from this convention, we shallgive ample warningAs for "positive, "by that word we mean, here and elsewherein this book, "greater than or equal to zero If 0 is to be excluded, we shall say"strictly positive(b)What about the set of all integers?(c) Can the answers to these questiong be changed by re-defining addition ormultiplication (or both)?3. Let m be an integer, m2 2, and let Zm be the set of all positive integers lessthan m, zm=10, 1, .. m-1). If a and B are in Zmy let a +p be the leastpositive remainder obtained by dividing the(ordinary) sum of a and B by m, andproduct of a and B by m.(Example: if m= 12, then 3+11=2 and 3. 11=9)a) Prove that i is a field if and only if m is a prime.(b What is -1 in Z5?(c) What is囊izr?4. The example of Z, (where p is a prime)shows that not quite all the laws ofelementary arithmetic hold in fields; in Z2, for instance, 1 +1 =0. Prove thatif is a field, then either the result of repeatedly adding 1 to itself is always dif-ferent from 0, or else the first time that it is equal to0 occurs when the numberof summands is a prime. (The characteristic of the field s is defined to be 0 in thefirst case and the crucial prime in the second)SEC. 2VECTOR SPACES35. Let Q(v2)be the set of all real numbers of the form a+Bv2, wherea and B are rational.(a)Ie(√2) a field?(b )What if a and B are required to be integer?6.(a)Does the set of all polynomials with integer coefficients form a feld?(b)What if the coeficients are allowed to be real numbers?7: Let g be the set of all(ordered) pairs(a, b)of real numbers(a) If addition and multiplication are defined by(a月)+(,6)=(a+y,B+6)and(a,B)(Y,8)=(ary,B6),does s become a field?(b )If addition and multiplication are defined by(α,月)+⑦,b)=(a+%,B+6)daB)(,b)=(ay-6a6+的y),is g a field then?(c)What happens (in both the preceding cases)if we consider ordered pairs ofcomplex numbers instead?§2. Vector spaceWe come now to the basic concept of this book. For the definitionthat follows we assume that we are given a particular field s; the scalarsto be used are to be elements of gDEFINITION. A vector space is a set o of elements called vectors satisfyingthe following axiomsQ (A)To every pair, a and g, of vectors in u there corresponds vectora t y, called the aum of a and y, in such a way that(1)& ddition is commutative,x十y=y十a(2)addition is associative, t+(y+2)=(+y)+a(3)there exists in V a unique vector 0(called the origin) such thata t0=s for every vector and(4)to every vector r in U there corresponds a unique vector -rthat c+(-x)=o(B)To every pair, a and E, where a is a scalar and a is a vector in u,there corresponds a vector at in 0, called the product of a and a, in sucha way that(1)multiplication by scalars is associative, a(Bx)=aB)=, and(2 lz a s for every vector xSPACESSFC B(C)(1)Multiplication by scalars is distributive with respect to vectorddition, a(+y=a+ ag, and2)multiplication by vectors is distributive with respect to scalar ad-dition, (a B )r s ac+ Bc.These axioms are not claimed to be logically independent; they aremerely a convenient characterization of the objects we wish to study. Therelation between a vector space V and the underlying field s is usuallydescribed by saying that v is a vector space over 5. If S is the field Rof real number, u is called a real vector space; similarly if s is Q or if gise, we speak of rational vector spaces or complex vector space§3. ExamplesBefore discussing the implications of the axioms, we give some examplesWe shall refer to these examples over and over again, and we shall use thenotation established here throughout the rest of our work.(1) Let e(= e)be the set of all complex numbers; if we interpretr+y and az as ordinary complex numerical addition and multiplicatione becomes a complex vector space2)Let o be the set of all polynomials, with complex coeficients, in avariable t. To make into a complex vector space, we interpret vectoraddition and scalar multiplication as the ordinary addition of two poly-nomials and the multiplication of a polynomial by a complex numberthe origin in o is the polynomial identically zeroExample(1)is too simple and example (2)is too complicated to betypical of the main contents of this book. We give now another exampleof complex vector spaces which(as we shall see later)is general enough forall our purposes.3)Let en,n= 1, 2,. be the set of all n-tuples of complex numbers.Ix=(1,…,轨)andy=(m1,…,n) are elements of e, we write,,bdefinitionz+y=〔1+叽,…十物m)0=(0,…,0),-inIt is easy to verify that all parts of our axioms(a),(B), and (C),52, aresatisfied, so that en is a complex vector space; it will be called n-dimenaionalcomplex coordinate space
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