The following materials are herein incorporated by reference in their entirety for all purposes:
US Publication 2015/0092532 of U.S. patent application Ser. No. 14/498,957, filed on Sep. 26, 2014 by Amin Shokrollahi and Roger Ulrich, entitled “Fault Tolerant Chip-to-Chip Communication with Advanced Voltage Regulator” (hereinafter Shokrollahi I).
This disclosure is relevant to interfaces which encode and decode data values as transitions on the interconnect medium and have redundant resources to bypass faulty connections. Examples of such codes are described in Shokrollahi I, including the FTTL4 code utilized as a descriptive example herein. Efficient hardware-based identification of faulty connections is desired to facilitate automated reconfiguration of the redundant resources. The disclosed invention is relevant generally to any interface using transition codes, but is of particular interest to interfaces of 3D chip stacks where the interconnect is composed of stacked Thru-Silicon Vias (TSVs).
Note that in the general case m and n are not necessarily equal. If the number of possible electrical states s of each wire is greater than 2 (i.e. multi-level signaling is employed), then it is possible to encode m data bits into n wires where n<m.
Another method of encoding data bits onto the wires of the interface is to define codewords based on whether or not a transition occurs on each wire rather than the actual state of the wire. The current state of the wire is irrelevant to a transition code; the receiver detects whether transitions occur on each wire and decodes the codeword accordingly.
If s>2, then it is possible to define more than one type of transition. The receiver can differentiate between types of transitions based on the origin and terminal states of the wire. This expands the available code space such that transition codes where n<m are possible.
Transition codes are one type of code that can be used on interfaces between chips of a three dimensional (3D) chip stack. The 3D chip stack for a typical application is shown in
It is desirable to transmit a test pattern over the interface in
Furthermore, it is desirable to minimize the required test circuitry incorporated into the DRAM chips shown in the application in
Given an arbitrary transition code meeting the disclosed requirements, an embodiment comprises:
A system for constructing a test pattern to be transmitted by the Pattern Generator 410 as shown in
A system for a Pattern Checker 430 as shown in
A system for Data Loopback logic 420 in the test path as shown in
At least one embodiment disclosed herein is a Pattern Generator and Pattern Checker for a single interconnect segment as shown in
Embodiments in accordance with the disclosure may be implemented by Built-In-Self-Test (BIST) circuits on the chip, or by external test equipment interfacing to the chip being tested.
At least one embodiment uses the FTTL4 transition code described in Shokrollahi I. No limitation is implied, however, as other embodiments may in general use any transition code that meets the requirements described.
The disclosed embodiments describe a system of constructing a test pattern for an arbitrary transmission code that can quickly identify whether a wire on the interface failed, and identify which wire failed using a simple detection circuit so that the interface can use spare resources to bypass the failed wire. One embodiment of the disclosed systems and methods includes constructing a Pattern Generator, Pattern Checker, and Data Loopback function that can be used with the FTTL4 transition code in a 3D chip stack application. The dominant failure mechanism for such interfaces is stuck faults due to open connections at TSVs.
For descriptive purposes and without implying limitation, assumptions are made that:
1. The interface contains at most one fault. Test pattern errors will occur if multiple faults exist, but aliasing may occur such that the failing path cannot be properly identified. Known pattern generation techniques capable of distinguishing multiple errors without aliasing may be combined with the described systems and methods.
2. Failures can be adequately modeled using the stuck-fault model prevalently used in Design-For-Test strategies. This assumption is generally valid for the target application (TSVs of a 3D chip stack) since the dominant circuit fault is an open connection. Other known failure modeling methods may also be applied to address other failure modes.
This disclosure develops a mathematical description of an arbitrary transition code, and describes properties of the codewords of the arbitrary code. The disclosed system utilizes these properties to group codewords into sets of codewords transmitted by the Pattern Generator and sets of codewords detected by the Pattern Checker and utilized for fault isolation. The detection and processing that may be implemented by the Data Loopback function is also defined. One embodiment is described for the FTTL4 transition code as described in Shokrollahi I.
Transition Functions and Properties of Codewords
Assume a transition code with n wires and s states per wire, where the states of a wire represent signal levels on the transmission media. The data being transmitted on the interface is coded based on which wires make transitions, and the origin and terminal wire states of those transitions. Assume a transition function:
W0=Ti(W−1) [Eqn. 1]
The function (Ti) describes the new state of the wire (W0) based on the previous state of the wire (W−1). This function is applied to specific wires when encoding specific data values. A transition code may define several possible transition functions that are applied to the n wires based on the data value being encoded. The number of wires and the number of uniquely identifiable transition functions determines the number of data bits that can be coded on n wires. The greater the number of wire states s, the greater the number of transition functions that can be defined and uniquely identified at the receiver.
Assume a transition code has defined f transition functions {T0, T1, . . . Tf-1}. The definition of the T0 function is reserved and is defined as the null function where the wire does not change state:
W0=T0(W−1)=W−1 [Eqn. 2]
All other transition functions involve a change of state for wire i.
The transition code maps data values to codewords that are constructed by defining a transition function for each of n wires: (Ti1, Ti2, . . . Tin), where each Tij∈{T0, T1, . . . Tf-1}.
Note that some transition functions can be aliases of other transition functions. A transition function defines the new state of a wire W0 based on the previous state of a wire W−1. The transition function is defined by the transitions of wire states (W−1, W0) for all s possible values of wire state W−1. Given two transition functions, if there exists a transition (W−1, W0) where the state values of W−1 and W0 are the same for both functions, then the transition functions are aliases of each other.
Now define a property called transition count (TC) of a given codeword of a transition code as the total number of the n wires for which Tij∈{T1, . . . Tf-1} and Tij∉{T0}. The transition count represents the total number of wires that are making state transitions for a given codeword.
Sets of Codewords
Given the definition of the property TC, codewords of the transition code can be grouped into sets with similar values of TC. A transition code can contain codewords with any TC in the range 0≦TC≦n. Let:
GROUP(c)←set of valid transition codewords of the transition code for which TC=c, where 2≦c≦n.
GROUP(c−1)←set of valid transition codewords of the transition code for which TC=c−1.
Valid values of c are restricted to ensure that the codewords of GROUP(c−1) contain at least one transition. This is necessary to allow identification of the bad wire. For completeness, the following set is defined:
GROUP(TC>c|TC<c−1)←egress-fault identification codewords that are not members of GROUP (c) or GROUP (c−1).
Next define:
FAULT(c, w)←set of codewords that result from a stuck fault on a codeword from GROUP(c).
The FAULT(c, w) set is constructed for each wire associated with wire index w in the range 1≦w≦n by taking each member of GROUP(c), and changing the transition function for wire associated with wire index w to T0, and adding the resulting codeword to FAULT(c, w) using the following rules:
The following algorithm provides a formalized description of the construction of the FAULT(c, w) sets:
All of the codewords in FAULT(c, w) have the property that TC=c−1. The number of elements in FAULT(c, w) can be larger than the number of elements in GROUP(c) if some transition functions can alias other transition functions.
The OVERLAP(c, w) set for each wire w is defined as:
OVERLAP(c, w)←FAULT(c, w)∩GROUP(c−1)
This set determines valid reduced-transition codewords that will be decoded at the receiver in the presence of stuck faults, and can be used to detect the fault and identify a wire index associated with the wire on which the stuck fault has occurred.
The GENERATE(c) set is defined as the valid transition codewords in GROUP(c) which, when a stuck fault occurs on wire associated with wire index w, result in a codeword that is contained in one of the sets OVERLAP(c, w). This set determines the codewords that may be transmitted in the constructed test pattern.
Finally, the function DATA(S) is introduced for notation purposes, and is defined as the decoded data values corresponding to codeword(s) of argument S. Likewise, the function CODE(S) is defined as the set of encoded codewords corresponding to the data value(s) of argument S.
Test Pattern Construction
In order to construct a test pattern for the Pattern Generator, it is necessary that the definition of the transition code meet the following requirements:
1. There is a value c in the range 2≦c≦n for which GROUP(c)≠{ } and GROUP(c−1)≠{ }.
2. For each wire associated with wire index w in the range 1≦w≦n, OVERLAP(c, w)≠{ }. (OVERLAP sets are not empty.)
3. For each wire index w1 in the range 1≦w1≦n, and wire index w2 in the range 1≦w2≦n, w1≠w2: OVERLAP(c, w1)≠OVERLAP(c, w2). (OVERLAP sets are unique.)
4. If the test pattern must propagate through cascaded segments of the interface, then:
GROUP(TC>c|TC<c−1)≠{ }.
Given a transition code that meets the above requirements the Pattern Generator is constructed by sending random data values∈DATA(GENERATE(c)) to generate valid transition codewords∈GENERATE(c).
If there are no stuck faults on the interface, the Pattern Checker only receives valid transition codewords∈GROUP(c). If a stuck fault exists, then valid reduced-transition codewords∈OVERLAP(c, w) where w corresponds to a wire index associated with the wire with the fault are also received. Additionally, invalid codewords may be received. The Pattern Checker can therefore be constructed such that it detects data words where:
rx_dataword∈DATA(OVERLAP(c, 0)∪OVERLAP(c, 1)∪ . . . ∪OVERLAP(c, n))
The Pattern Checker determines which wire contains a fault based upon which of the above codewords (or data values) are detected. This is based upon the behavior that in the presence of a single stuck fault on the wire associated with wire index w, at least some of the codewords received match elements in set OVERLAP(c, w) and will be decoded successfully. Given a test pattern that exercises all possible transitions of wire states on all wires, the Pattern Checker will eventually detect all of the valid reduced-transition codewords in set OVERLAP(c, w). While some of these codewords may also exist in other OVERLAP sets, in general at least some elements of other sets will not have been encountered by the Pattern Checker.
A special case exists if the OVERLAP set for one wire is a subset of the OVERLAP set for another wire. Transition code requirements do not exclude this case. In this case, the Pattern Checker may encounter all valid reduced-transition codewords of the OVERLAP sets for both wires; indicating that the wire with the stuck fault is the wire represented by the OVERLAP set with the most elements. If the fault were on the wire corresponding to the smaller set, then some valid reduced-transition codewords in the larger set would not have been encountered.
Pattern Checker implements data processing that is specified by the following algorithm:
The Pattern Checker described by the above algorithm also identifies whether the stuck fault was in an egress or an ingress segment as described in the next section.
Data Loopback
It is desirable in the 3D chip stack configuration shown in
The Data Loopback implements data processing that is specified by the following algorithm:
As described above, the Data Loopback propagates valid transition codewords (including valid reduced-transition codewords from the OVERLAP(c, w) sets) through the loopback path. However, if codewords from the OVERLAP(c, w) sets are detected then the propagation of these codewords is alternated with the propagation of one or more egress-fault indication codewords from the GROUP(TC>c|TC<c−1) set. The presence or absence of codewords from GROUP(TC>c|TC<c−1) is used by the Pattern Checker at the controller to determine whether the stuck fault is on the controller to DRAM (egress) path or on the DRAM to controller (ingress) path. This detection is supported by the algorithm implemented by the Pattern Checker presented previously.
The Data Loopback also suppresses any invalid codewords that are received from the egress path and substitutes a valid codeword on the return path. This is to avoid any unpredictable behavior.
Embodiment Using FTTL4 Transition Code
Referring to Shokrollahi I, the FTTL4 code defines n=3 wires with s=3 states (0, 1, 2). The following transition functions are defined:
TNULL Function:W0=TNULLTNULL(W−1)=W−1
TINC Function:W0=TINC(W−1)=(W−1+1)mod 3
TDEC Function:W0=TDEC(W−1)=(W−1−1)mod 3
TMID Function:W0=TMID(W−1)=(W−1−1) if W−1=1,2
(W−1+1) if W−1=0
Table I is a truth table for the code:
This contains the following sets of valid transition codewords for c=2:
GROUP(TC=2)=
The TINC and TDEC can alias as TMID at the receiver. The fault sets including aliasing, assuming c=2 are:
FAULT(c=2, w=1)=
The Data Loopback circuit on the DRAM will alternate the insertion of the codeword: GROUP(TC>2|TC<1)={(TNULL, TNULL, TNULL)}
This set corresponds to the set of data words:
DATA(GROUP(TC>2|TC<1))={b1111}
The Pattern Checker on the controller may interpret the codewords received for data values as wire faults as shown in Table II.
The FAULT sets correspond to the following GENERATE set, which is equivalent to SET(TC=2) for this code:
GENERATE(2)=
The corresponding set of data values for the Pattern Generator are:
DATA(GENERATE(2))=
The Pattern Generator randomly generates data words from this set. The Data Loopback can substitute any of these data words on the ingress interface when an invalid codeword is detected on the egress interface.
The preferred embodiments of the Pattern Generator 410, Data Loopback 420, and Pattern Checker 430 in
An embodiment of the Pattern Generator 410 in
An embodiment of the Data Loopback 420 in
An embodiment of the Pattern Checker 430 in
It should be noted that certain embodiments may not be configured to detect the location of the fault in only the pattern checker. In some embodiments, pattern checking could occur on both the transmit side and receive side, in which case an egress-fault indication codeword is not necessary. A more general case of identifying the location of the fault is given in
Data Steering Circuit
In at least one embodiment, outputs of AND gates 730 or AND gates 830 are input into a System Management Interface 910, as shown in
An example embodiment of a data steering circuit is shown in
The examples illustrate the use of transitions codes in the fault detection of integrated circuit interconnections. At least one embodiment uses the FTTL4 transition code described in Shokrollahi I. At least one embodiment addresses Through-Silicon-Via interconnection faults between stacked integrated circuit devices. No limitation is implied, however, as other embodiments may in general use any transition code and/or interconnection means satisfying the basic requirements described herein. The methods disclosed in this application may be equally applicable to other encoding methods, and to communication media including optical and wireless communications. Thus, descriptive terms such as “voltage” or “signal level” should be considered to include both electrical equivalents such as “current”, and also equivalents in other measurement systems, such as “optical intensity”, “RF modulation”, etc. Specific examples provided herein are for purposes of description, and do not imply a limitation.
As used herein, “physical signal” includes any suitable behavior and/or attribute of a physical phenomenon capable of conveying information. In accordance with at least one embodiment, physical signals may be tangible and non-transitory.
Embodiments
In at least one embodiment, a system comprises: a decoder configured to decode a sequence of received transition codewords of a transition code into a plurality of sets of m data bits, each codeword corresponding to one set of m data bits, the received transition codewords corresponding to test codewords having been transmitted via an egress path, each test codeword comprising n elements and having c transitions, and wherein any set of c−1 transitions of the c transitions corresponds to a valid reduced-transition codeword, wherein n and c, and m are an integers greater than or equal to 2; a data loopback circuit configured to receive the plurality of sets of m data bits and to determine, for each set, if the m data bits correspond to a reduced-transition codeword, and responsively generate a plurality of sets of m response bits based on the determinations. In at least one embodiment, the data loopback circuit generates at least one set of m response bits corresponding to an egress-fault indication codeword in response to receiving data bits corresponding to a reduced-transition codeword. In at least one embodiment, the egress-fault indication codeword is an error-signaling transition codeword having TC number of transitions, wherein TC is an integer according to: c<TC or TC<c−1. In at least one embodiment, the data loopback circuit generates a subset of the plurality of sets of m response bits by retransmitting a subset of the received plurality of sets of m data bits. In at least one embodiment, the data loopback circuit is configured to generate a listing of received reduced-transition codewords, and to responsively determine a wire index of a wire fault.
In at least one embodiment, a system comprises: a pattern generator configured to generate a bit pattern comprising a plurality of sets of m data bits representing a sequence of valid transition codewords of a transition code, each valid transition codeword comprising n elements and having c transitions, wherein any set of c−1 transitions of the c transitions corresponds to a valid reduced-transition codeword, and wherein m, n, and c, are integers greater than or equal to 2; an encoder configured to generate the sequence of valid transition codewords based on the bit pattern and transmit the sequence on an egress path; a decoder configured to receive a sequence of response codewords on an ingress path and decode them into a plurality of sets of m bits; and, a pattern checker configured to receive the m bits and generate a listing of received reduced-transition codewords, and to responsively determine (i) a wire index of a wire fault and (ii) a path associated with the wire fault based on the listing. In at least one embodiment, the listing corresponds to a combination of states of state elements. In at least one embodiment, the state elements are flip-flops. In at least one embodiment, the pattern checker comprises a logic circuit configured receive the combination of states and responsively generate signals identifying the wire index and path associated with the wire fault. In at least one embodiment, the system further comprises a data steering circuit configured to receive the signals representing the wire index and path identified by the wire fault and responsively bypass a communication wire identified by the wire index on the path.
In at least one embodiment, a method 1100 as shown in
This application claims priority to U.S. Provisional Application 62/015,172, filed Jun. 20, 2014, entitled “System for Generating a Test Pattern to Detect and Isolate Stuck Faults for an Interface using Transition Coding,” which is herein incorporated by reference in its entirety for all purposes.
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