Abstract:
Systems and methods for improved semiconductor device performance are disclosed. In particular, presented are improved semiconductor systems and methods for configuring conductors to reduce impedance variation caused by proximity and/or density and/or operation of connection-bumps. The invention includes adding impedance-reducing conductive features which add no additional functionality to the semiconductor device. The added features may be arranged in areas of sparse connection-bump density. Impedance-reducing conductive features may include metal lines added between functional metal lines, where placement between adjacent functional lines may vary. Impedance-reducing conductive features may be added to any one or combination of conductive layers, and added features may act upon any one or combination of functional features. Further, added features may be electrically active and responsive to semiconductor device operation. Also, methods for determining connection-bump density, which methods may be automated.

Description:
TECHNICAL FIELD OF THE INVENTION 
   The invention relates in general to systems and methods for configuring conductors within an integrated circuit. More specifically, it relates to providing a stable semiconductor device power network by reducing impedance variation within metal power lines caused by connection-bumps on the semiconductor device. 
   BACKGROUND OF THE INVENTION 
   The demand for faster and smaller microelectronic devices is driving continual shrinkage of microelectronic architectures. Such microelectronic architectures form the electronic circuits of semiconductor devices. Semiconductor devices are manufactured on silicon wafers using a process of adding layers and selectively removing parts of the layers. Semiconductor device features are created through this selective removal process. Upon the completion of the manufacturing process, the silicon wafers are cut into individual dies where each die includes at least one complete semiconductor device. 
   Individual dies are not typically directly integrated into electronic devices, such as, for example, cellular phones. Typically, the dies are first packaged. Thus, semiconductor devices may include connection-bumps which function to electrically couple the semiconductor device with its respective package. Once these connection-bumps have coupled a semiconductor device to a package, the packaged semiconductor device may be inserted into and used by an electronic device. 
   Included among the layers which comprise a semiconductor device is at least one layer of conductors, such as metal lines. Metal lines may be used within the semiconductor device to connect elements of the integrated circuit. For example, metal lines may carry electrical current to and from logic gates. Also, a power network for the semiconductor device may include metal lines. Due to the continued-shrinkage of microelectronic architectures, optimal semiconductor device operation depends upon optimal performance of each semiconductor feature. Thus, stable functionality of the metal lines contributes to optimal functionality of the semiconductor device. However, the connection-bumps which electrically couple a semiconductor device to a package may affect performance of the semiconductor device. In particular, the impedance of conductive device features can be affected by the presence and/or operation of connection-bumps. For example, a metal line traversing an area with a high connection-bump density may have impedance which differs significantly from that of a similar metal line traversing an area with a lower connection-bump density. Because varying line impedance can negatively affect semiconductor device performance, it is desirable to reduce such variation in line impedance. Therefore, a need exists for improved methods of configuring semiconductor devices, and improved semiconductor devices. 
   SUMMARY OF THE INVENTION 
   Methods and devices yielding improved semiconductor devices are disclosed. In particular, line impedance variation induced by the presence of connection-bumps may be reduced by configuring impedance-reducing metal lines according to connection-bump densities. 
   The present invention relates to a semiconductor device, and more particularly, to adding conductors to a semiconductor device having connection-bumps used for device packaging terminations. Presented are improved semiconductor systems and methods for configuring conductors to reduce impedance variation caused by proximity and/or density and/or operation of connection-bumps. The invention includes adding impedance-reducing conductive features which may add no additional functionality to the semiconductor device. The added features may be arranged in areas of sparse connection-bump density. Impedance-reducing conductive features may include metal lines added between functional metal lines, with placement between adjacent functional lines varying by respective embodiment. Impedance-reducing conductive features may be added to any one or combination of conductive layers, and added features may act upon any one or combination of functional features. Further, added features may be electrically active and responsive to semiconductor device operation. Also, methods for determining connection-bump density, which methods may be automated. 
   In one embodiment, a semiconductor device having at least one functional conductor and at least one impedance-reducing conductor adapted to reduce impedance variation in the at least one functional conductor. The at least one functional conductor is configured to hold an electric potential. The functional conductors may include functional metal lines, and the impedance-reducing conductors may include impedance-reducing metal lines. The device may include connection bumps, and the impedance-reducing metal lines may be arranged where the connection bumps are sparsely distributed. 
   In another embodiment, a semiconductor device having connection-bumps where at least one connection-bump is configured to hold an electric potential. The connection bumps are arranged sparsely in some areas and densely in other areas. The semiconductor device also includes a plurality of functional metal lines where at least one functional metal line is coupled to the at least one connection-bump holding an electric potential. Finally, the semiconductor device also includes a plurality of impedance-reducing metal lines configured to reduce impedance variation of at least one functional metal line. In the embodiment, the impedance-reducing metal lines may be arranged substantially within a sparse area and parallel with adjacent functional metal lines. Each impedance-reducing metal line may be equidistant from a corresponding functional metal line. 
   In one embodiment, a method of reducing impedance variation in a semiconductor device which includes forming at least one functional conductor and forming at least one impedance-reducing conductor configured to reduce impedance variation of the at least one functional conductor. In the embodiment, forming conductors may include forming metal lines. The embodiment may also include forming connection bumps. The impedance-reducing metal lines and the connection-bumps may not be equally distributed across the semiconductor device, and their respective distributions may be inversely related. Also, the impedance-reducing lines may be formed having corresponding functional metal lines. 
   A technical advantage of the invention is the ability to stabilize the power network. For example, semiconductor devices using connection-bumps for I/O and power connections may have connection-bumps over the majority of the semiconductor device. However, some constraints prevent arranging connection-bumps in all areas of the semiconductor device. Such areas having a lower density of power bumps generally have bigger power bounce during semiconductor device operation, and such power bounce leads to semiconductor device malfunction. 
   This invention provides the ability to normalize metal line impedance in view of semiconductor features or operational characteristics which may influence impedance. Such equalized line impedance may reduce excessive voltage-drop which may interfere with semiconductor device function. For example, logic gate operation and/or device timing may be affected by excessive voltage drop. Therefore, excessive power bounce may be eliminated through use of this invention. 
   These, and other, aspects of the invention will be better appreciated and understood when considered in conjunction with the following description and the accompanying drawings. The following description, while indicating various embodiments of the invention and numerous specific details thereof, is given by way of illustration and not of limitation. Many substitutions, modifications, additions or rearrangements may be made within the scope of the invention, and the invention includes all such substitutions, modifications, additions or rearrangements. 

   
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The drawings accompanying and forming part of this specification are included to depict certain aspects of the invention. A clearer impression of the invention, and of the components and operation of systems provided with the invention, will become more readily apparent by referring to the exemplary, and therefore nonlimiting, embodiments illustrated in the drawings, wherein identical reference numerals designate the same components. Note that the features illustrated in the drawings are not necessarily drawn to scale. 
       FIG. 1  is a diagram illustrating a semiconductor device with connection-bumps. 
       FIG. 2  is a diagram illustrating one embodiment of a metal line configuration according to the invention. 
       FIG. 3  is a diagram illustrating another embodiment of a metal line configuration according to the invention. 
       FIG. 4  is a diagram illustrating yet another embodiment of a metal line configuration according to the invention. 
       FIG. 5  is a diagram illustrating one method to differentiate connection-bump density according to the invention. 
       FIG. 6  is a diagram illustrating another method to differentiate connection-bump density according to the invention. 
       FIG. 7  is a diagram illustrating yet another method to differentiate connection-bump density according to the invention. 
       FIG. 8  is a diagram illustrating yet another method to differentiate connection-bump density according to the invention. 
   

   DETAILED DESCRIPTION 
   The invention and the various features and advantageous details thereof are explained more fully with reference to the nonlimiting embodiments that are illustrated in the accompanying drawings and detailed in the following description. Descriptions of well known starting materials, processing techniques, components and equipment are omitted so as not to unnecessarily obscure the invention in detail. It should be understood, however, that the detailed description and the specific examples, while indicating preferred embodiments of the invention, are given by way of illustration only and not by way of limitation. After reading the specification, various substitutions, modifications, additions and rearrangements will become apparent to those skilled in the art from this disclosure which do not depart from the scope of the appended claims. 
     FIG. 1  is a diagram illustrating one embodiment of a semiconductor device with connection-bumps. Shown in  FIG. 1  is a plan view of a semiconductor device  10  having a die edge  12 . A semiconductor device may also be referred to as a die. The device features of die  10  are contained within die edge  12 . Numerous connection-bumps  13  and  15  are shown within die edge  12 . Not shown are all other various device features of semiconductor device  10 . These other various device features are usually fabricated within their respective various process layers prior to the fabrication of connection-bumps  13  and  15 . 
   Semiconductor device  10  may include a microprocessor. Further, semiconductor device  10  may be a multi-core microprocessor (e.g., a microprocessor having multiple processing units). Semiconductor device  10  may operate at frequencies of greater than about 1 GHz. Semiconductor device  10  may be fabricated using any number of process technologies. In particular, semiconductor device  10  may be fabricated with a process technology having a minimum half pitch of less than about 90 nm. 
   Semiconductor device  10  may be incorporated into a package prior to use in an electronic device. Connection bumps  13  and  15  enable the semiconductor device to be electrically coupled to a package. Such a package includes electrical leads which enable the package to be electrically coupled with an electrical device. In this manner, a packaged semiconductor device may be in electrical communication with an electronic device. Thus, packaging enables the semiconductor device to be incorporated into and used by an electronic device. 
   As electrical coupling with an electronic device is enabled via connection bumps  13  and  15 , it follows that connection bumps  13  and  15  may hold electric potential and/or may carry electric current. Thus, connection-bumps may include power connection-bumps which hold electric potential and signal connection-bumps which carry electric signals. Connection bumps  13  and  15  may be considered power connection-bumps. Connection-bumps  13  and  15  include VDD bumps  15 , where VDD may be the power supplied to the semiconductor device  10 . The conductors configured to supply VDD to semiconductor device  10  may be referred to collectively as a power network. The power network may include conductors arranged throughout semiconductor device  10 . It is desirable to maintain a stable voltage on the power network. Connection-bumps  13  and  15  also include GND bumps  13 , where GND may be the common ground for the semiconductor device  10 . It is noted that the plan view of  FIG. 1  shows the connection-bumps  13  and  15  themselves, but not underlying features to which the connection-bumps  13  and  15  may be connected. 
   Connection-bumps  13  and  15  may be arranged around a periphery of a semiconductor device to facilitate device packaging. Consequently, VDD bumps  15  and GND bumps  13  are shown arranged around the periphery of semiconductor device  10 . Due to packaging restrictions, some semiconductor areas may be free from connection-bumps  13  and  15 . For example, to stabilize power operation of the semiconductor device, a packaged semiconductor device may have extra capacitors arranged on the package outside the die. Such arrangement may lead to connection-bump placement restrictions. Consequently, semiconductor device  10  is shown having an area without VDD bumps  15  and GND bumps  13 . 
   Semiconductor device  10  may include dense area  14  and sparse area  16 , where dense and sparse refer to density of connection bumps  13  and  15 . As will be discussed below in further detail, areas may be defined as dense or sparse using a variety of methods. However, in general within the same semiconductor device, a sparse area has at least one corresponding dense area. A dense area has connection bumps arranged at regularly spaced intervals along an axis. The regularly spaced intervals may be user-defined. A sparse area has connection bumps having at least some spaced intervals along the same axis which exceed the regularly spaced intervals of a corresponding dense area. 
   For example, the connection-bumps arranged closest to one another along at least one axis of a sparse area are further apart than the maximum distance between connection-bumps along either axis in a corresponding dense area. In particular, dense area  14  is defined, in part, by the connection bumps GND bump  101  and VDD bump  103 . Connection bumps GND bump  101  and VDD bump  103  are arranged along a y-axis and immediately adjacent one another. As shown, GND bump  106  and VDD bump  107  are also arranged along a y-axis and immediately adjacent one another, yet are spaced at a distance greater than that between GND bump  101  and VDD bump  103 . Consequently, GND bump  106  and VDD bump  107  define, in part, a sparse area. 
   As noted, connection-bumps  13  and  15  electrically couple semiconductor device  10  with its respective package. In this manner, packaged semiconductor device  10  may be in electrical communication with an electronic device. Thus, connection-bumps  13  and  15  provide electric potentials used by semiconductor device  10 . Within semiconductor device  10 , electric potentials may be routed through various conductors. Such conductors may be electrically coupled to connection-bumps  13  and  15  and may include contacts, vias, and interconnects. 
   Contacts and vias allow electrical coupling between layers of the semiconductor device. Thus, with respect to a wafer surface upon which semiconductor device  10  is fabricated, contacts and vias may have a substantially vertical orientation. Interconnects allow electrical coupling from one die area to another and may therefore have a substantially horizontal orientation. Interconnects may also be referred to as metal lines. 
     FIGS. 2-4  are diagrams illustrating respective embodiments of metal line configurations in accordance with the invention. Shown in  FIGS. 2-4  is metal layer  20 . Metal layer  20  includes a magnified view of a portion of semiconductor device  10  approximated by exemplary area  18  of  FIG. 1 . However, where  FIG. 1  is a plan view of die  10  illustrating placement of GND bumps  13  and VDD bumps  15 ,  FIGS. 2-4  illustrate a plan view of metal layer  20  indicating placement of metal lines  11  and GND vias  113 . It is noted that a GND via  113  may be in a position within metal layer  20  which is substantially commensurate with a position of a corresponding GND bump  13  fabricated on a subsequent layer. Thus,  FIGS. 2-4  illustrate at least some features which may be underlying and/or electrically coupled to the GND bumps  13  and/or the VDD bumps  15  illustrated in  FIG. 1 . 
   The metal layer indicated in  FIGS. 2-4  includes metal lines  11 . Metal lines  11  are functional metal lines. Functional metal lines are those lines used for the logical functioning of the semiconductor device. Logical functioning may include supplying power and transmitting signals. Thus, functional metal lines  11  may provide power to semiconductor device  10 . For example, logic gates may be electrically coupled to VDD by way of metal lines  11 . A logic gate may become operational upon application of a certain voltage level (e.g. VDD) provided by metal lines  11 . Semiconductor device  10  is designed such that metal lines  11  may deliver proper voltage levels to logic gates. However, increased impedance of metal lines  11  may cause increased voltage drops over metal line lengths. Proper operation of logic gates within semiconductor device  10  may therefore be dependent upon conductor impedance. Consequently, impedance of metal lines  11  may affect the logical functioning of semiconductor device  10 . 
   Impedance of metal lines  11  shown in  FIGS. 2-4  may be adversely affected by the presence and/or operation of connection bumps including GND bumps  13  and VDD bumps  15 , shown in  FIG. 1 . Referring to  FIGS. 2-4 , consider exemplary functional metal line.  410  including a section labeled  199  and a section labeled  188 . Section  199  of metal line  401  traverses dense area  114  of metal layer  20  while section  188  of metal line  410  traverses sparse area  116  of metal layer  20 . The physical width and/or cross-sectional area of section  188  is substantially equivalent to the width and/or cross-sectional area of section  199 . Thus, it may be desired that the impedance of section  188  is substantially equivalent to the impedance of section  199 . However, the impedance of section  199  is not substantially equivalent to the impedance of section  188  due to respective connection bump densities in proximity to the respective sections without additional impedance-reducing conductor  488 . In particular, the impedance of section  199  traversing dense area  114  may be substantially less than the impedance of section  188  traversing sparse area  116  without additional impedance-reducing conductor  488 . 
   Various embodiments for reducing impedance variation are described in detail below. In general, impedance variation is ameliorated by adding impedance-reducing conductors to conductive layers. Impedance-reducing conductors may be added in attempt to normalize conductive-material density across the respective conductive layer. Alternately, impedance-reducing conductors may be added to normalize any one of a number of electro-magnetic properties. For example, impedance-reducing conductors may be added such that parasitic capacitance is constant across a metal process layer of a die. Consequently, impedance-reducing conductors may or may not be distributed periodically across sparse area  116 . For example, location  181  may not include an impedance-reducing conductor as impedance or other electro-magnetic properties may be normalized without adding impedance-reducing conductors to some locations. 
     FIG. 2  is a diagram illustrating one embodiment of a metal line configuration according to the invention. Impedance matching may be obtained by adding conductive material (e.g., metal) to a sparse area of metal layer  20 , where sparse area  116  is shown to have a lower density of GND vias  113 . Impedance-reducing metal lines  28  are added to the sparse area  116  of metal layer  20  to provide impedance matching. For example, impedance matched metal lines  11  may be attained by adding impedance-reducing metal lines  28 . 
   Impedance-reducing metal lines  28  may be added as necessary to achieve impedance matching. Therefore, the width of impedance-reducing metal lines  28  may not necessarily match the width of functional metal lines  11 . 
   Further, the width of impedance-reducing metal lines  28  may not be constant. Each impedance-reducing metal line  28  may have a different line width. Furthermore, a single impedance-reducing metal line  28  may have a varying line width. A single impedance-reducing metal line  28  may have a line width that varies deliberately from one section of the line to another. 
   Impedance-reducing metal lines  28  may be added to sparse area  116  of metal layer  20  and arranged in relationship with adjacent functional metal lines  11  such that regular spacing exists between the functional metal lines  11  and the impedance-reducing metal lines  28 . Impedance-reducing metal lines  28  are added to sparse area  116  of metal layer  20 , spaced more or less equidistant between flanking functional metal lines  11 . Thus, impedance-reducing metal lines  28  are added approximately halfway between functional metal lines  11 . Therefore, metal lines  28  may be referred to as having a ½ pitch arrangement with respect to functional metal lines  11 . 
     FIG. 3  is a diagram illustrating another embodiment of a metal line configuration according to the invention. Impedance-reducing metal lines  38  are added to the sparse area  116  of metal layer  20  to provide impedance matching. A distinction between impedance-reducing metal lines  38  and impedance-reducing metal lines  28  described above in reference to  FIG. 2  is the spacing of the impedance-reducing metal lines  38  with respect to functional metal lines  11 . 
   The embodiment shown in  FIG. 3  is similar to the embodiment shown in  FIG. 2  with the exception of the arrangement of impedance-reducing metal lines  38 . Impedance-reducing metal lines  38  are added to sparse area  116  of metal layer  20  such that impedance-reducing metal lines  38  are not arranged substantially equidistant between adjacent metal lines  11 . As shown, impedance-reducing metal lines  38  are arranged approximately one fourth of the way between adjacent functional metal lines  11 . Therefore, metal lines  38  may be referred to as having a ¼ pitch arrangement with respect to functional metal lines  11 . 
   As described above, impedance matching conductive material may be added to semiconductor device  10  at any number of layers. Such conductive material may be added for conductive density matching and/or electro-magnetic matching across all conductive layers. The ¼ pitch placement of impedance-reducing metal lines  38  may facilitate placement of impedance-matching features on other conductive layers. For example, assume semiconductor device  10  includes impedance-reducing metal lines  28  and impedance-reducing metal lines  38 . In addition to these added impedance-reducing metal lines, another impedance-reducing metal line may be arranged at ¾ pitch. Such arrangement could result in three equally spaced impedance-reducing metal lines arranged laterally between functional metal lines  11 . 
   Because impedance-reducing features may be added to any or all conductive layers, added impedance-reducing features may not be limited to a single metal layer (i.e., a first metal layer may have impedance-reducing metal lines arranged at ¼ pitch, a second metal layer may have impedance-reducing metal lines arranged at ½ pitch, and a third metal layer may have impedance-reducing metal lines arranged at ¾ pitch.) Further, the functional metal line pitches of each layer may or may not be equivalent. Thus, impedance-reducing metal lines may be added at any metal layer having any desired pitch. Further, in addition to areas devoid of added conductive material such as area  181 , the pitch of added impedance-reducing metal lines may vary within a single process layer. Therefore, impedance-reducing metal lines need not be equally spaced. 
     FIG. 4  is a diagram illustrating yet another embodiment of a metal line configuration according to the invention. Again, impedance matching may be obtained by adding conductive material (e.g., metal) to a sparse area of metal layer  20 , where sparse area  116  is shown to have a lower density of GND vias  113 . Also, some similarities with respect to the embodiments shown in  FIG. 2  and  FIG. 3  may exist. However, this embodiment includes adding conductive material such that the effective line width of functional metal lines  11  is wider across sparse area  116 . 
   The metal layer shown in  FIG. 4  includes metal lines  11  having supplemental metal line portions  48 . As shown, metal lines  11  and impedance-reducing metal line portions  48  are distinct lines in direct contact with one another, thus yielding an effective line width which varies over the length of metal line  11 . However, in practice, a metal line  11  may be fabricated having an integral section which is wider than other sections of line  11 . 
   As shown, metal line  410  is a functional metal line  401  arranged having a lateral edge substantially commensurate with a lateral edge of an impedance-reducing metal line portion  408 . The effective width of metal line  410  traversing sparse area  116  along the length labeled  482  is substantially wider than the remaining length of metal line  410  traversing dense area  114 . Due to the effects of connection bumps on impedance, the impedance of section  488  may be substantially equivalent to the impedance of section  499  due to the varying effective widths of the sections. However, as noted above, in practice metal line  410  may be fabricated as a single functional metal line  410  having a wider width along the section  482 . Regardless of fabrication method, the result is functional metal lines such as metal line  410  which have impedance in one section, such as section  499 , which substantially matches the impedance in another section traversing an area with a different connection bump density, such as section  488 . 
     FIGS. 5-8  are diagrams illustrating exemplary dense areas and exemplary sparse areas. Shown in  FIGS. 5-8  are respective plan views of semiconductor device  10  having die edge  12 . The periphery of semiconductor device  10  is near die edge  12  and includes any dense areas. Connection-bumps including VDD bumps  15  and GND bumps  13  are arranged densely around the periphery of semiconductor device  10 . In semiconductor device  10 , connection-bumps VDD bumps  15  and GND bumps  13  are arranged sparsely near the center, where the center includes any sparse areas. Embodiments of methods to differentiate connection-bump density according to the invention will be described. 
   A dense area may be user-defined, and a sparse area may be defined as an area which has a density of connection bumps which is less than that of the defined dense area. A dense area may be determined by the spacing of connection-bumps such as GND bumps  13  and/or VDD bumps  15 . For example, a dense area may be defined by a quadrilateral of nearest adjacent GND bumps  13  along x and/or y axes. 
   Referring to  FIG. 5  in particular, dense area  54  may be defined by GND bumps  504 ,  505 ,  502 , and  503 . To be considered a dense area in this embodiment, a distance between GND bumps along an x-axis may not substantially exceed the distance between GND bump  504  and GND bump  505 . Similarly, to be considered a dense area in this embodiment, a distance between GND bumps  13  along a y-axis may not substantially exceed the distance between GND bump  504  and GND bump  502 . As shown, the distance along the y-axis between adjacent GND bumps  506  and  508  of sparse area  56  significantly exceeds those of dense area  54 . 
     FIG. 6  is a diagram illustrating yet another method to differentiate connection-bump density according to the invention. An exemplary dense area  64  and an exemplary sparse area  66  are shown. 
   Dense area  64  is defined by a quadrilateral of nearest adjacent GND bumps  13  along x and y axes. In particular, dense area  64  is defined by GND bumps  604 ,  605 ,  602 , and  603 . Because the distances along x and y axes of GND bumps  606 ,  607 ,  608 , and  609  exceeds those of dense area  64 , area  66  is a sparse area. However, because dense area  64  is defined by distance between GND bumps along x and y axis, dense area  64  may also be defined by an area circumscribed by nearest adjacent GND bumps  13  along x and y axes. 
     FIG. 7  is a diagram illustrating yet another method to differentiate connection-bump density according to the invention. An exemplary dense area  74  and an exemplary sparse area  76  are shown. In contrast to dense areas  54  and  64  in  FIGS. 5 and 6 , respectively, dense area  74  has laterally adjacent GND bumps  13  which are not necessarily separated from one another by VDD bumps  15 . As shown, GND bumps  704  and  705  are not separated from one another using a VDD bump  15 . In particular, dense area  74  may be defined by GND bumps  704 ,  705 ,  702 , and  703 . For an area to be considered a dense area, a distance between GND bumps along an x-axis may be equivalent to the distance between GND bump  704  and GND bump  705 . Similarly, a distance between GND bumps along a y-axis may be equivalent to the distance between GND bump  704  and GND bump  702 . As shown, along the y-axis the distance between adjacent GND bumps  706  and  708  exceeds that of dense area  74  along the y-axis. Therefore, area  76  defined by GND bumps  706 ,  707 ,  709  and  708  is a sparse area. 
     FIG. 8  is a diagram illustrating another method to differentiate connection-bump density according to the invention. An exemplary dense area  84  and an exemplary sparse area  86  are shown. In this embodiment, a dense area may be determined by a quadrilateral of nearest GND bumps  13  where the nearest GND bump can be either an absolute nearest GND bump or the nearest GND bump not arranged along either the x or y axis. For example, of interest may be the nearest GND bump arranged along xy or −xy diagonal axes. 
   In particular, dense area  84  may be defined by GND bumps  804 ,  805 ,  802 , and  803 . In this embodiment, an area may be considered a dense area if a distance between GND bumps arranged along a −xy diagonal does not exceed the distance between GND bumps  804  and  805 . Similarly, an area may be considered a dense area if a distance between GND bumps along an xy diagonal does not exceed the distance between GND bumps  804  and  802 . As shown, the distance between GND bumps arranged along xy diagonal  809  and  807  and those along −xy diagonal  808  and  809  of sparse area  86  exceeds those of dense area  84 . Also, the slope of the respective xy and −xy diagonals between the respective areas  84  and  86  are non-matching. Therefore, either distance or slope between nearest adjacent GND bumps  13  may be used to define an area as either sparse or dense. 
   Determination of dense and/or sparse areas may be made by examination of the distribution of connection-bumps. A dense area may be defined by distance between nearest adjacent GND bumps  13  along x and y axes, or by area circumscribed by nearest adjacent GND bumps  13  along x and y axes, or by distances between GND bumps along user-defined axis, or even by slopes of diagonal lines defined by nearest adjacent GND bumps. Hence, a dense area may be user-defined using any of a number of criteria. 
   Further, using user-defined criteria, connection-bump density may be determined through use of any one of a number of software packages. For example, a software package for determining semiconductor layouts may also be used to determine connection bump density. Consequently, determination of dense areas and/or sparse areas may be performed automatically using software to determine spacing between connection bumps GND  13  and/or VDD  15 . Such determination may be made from an algorithm including any combination of methodologies for determining dense areas presented above, among others. Further, dense or sparse may not necessarily be the only area designations. For example, relative or weighted area densities may be determined and/or compensated with impedance-reducing conductors. Furthermore, compensation conductor layouts may be similarly automated through use of such software packages. 
   In the foregoing specification, the invention has been described with reference to specific embodiments. However, one of ordinary skill in the art appreciates that various modifications and changes can be made without departing from the scope of the invention as set forth in the claims below. Accordingly, the specification and figures are to be regarded in an illustrative rather than a restrictive sense, and all such modifications are intended to be included within the scope of invention. 
   Benefits, other advantages, and solutions to problems have been described above with regard to specific embodiments. However, the benefits, advantages, solutions to problems, and any component(s) that may cause any benefit, advantage, or solution to occur or become more pronounced are not to be construed as a critical, required, or essential feature or component of any or all the claims.