Comparison of Multipliers for VLSI Application

DOI : 10.17577/IJERTCONV3IS04045

Download Full-Text PDF Cite this Publication

Text Only Version

Comparison of Multipliers for VLSI Application

Chinthanai Selvi. S Vigneshwari Rajagopal

M.E -VLSI Design AP/ECE

Department of ECE Department of ECE

Parisutham Institute of Technology and Science Parisutham Institute of Technology and Science Thanjavur, Tamilnadu. Thanjavur, Tamilnadu.

Abstract Multipliers are very important component in Digital Signal Processing Systems and Embedded application. The performance of any multiplier will depend upon power, delay and area. Recent works in VLSI Design to reduce significant amount of Multipliers power consumption. Multipliers perform one of the most frequently arithmetic operations. This spurious switching activity can be mitigated by balancing internal paths through combination of architectural and transistor-level optimization techniques. In this paper, deals with comparison of different multipliers are done for low power requirement. The power management has become a great concern due to the increased usage of multimedia devices. Multipliers are the main sources of power consumption in these devices. The area and speed of the multiplier is an important issue, increment in speed results in large area consumption and vice versa.

Keywords Partial Products, Digital Signal Processing, Multiplicand, Multiplier, Booth Algorithm.

  1. INTRODUCTION

    With the recent trends in increasing mobility and performance in small hand-held mobile communication and portable devices, among three thrust areas i.e speed, area and power, speed has become one of the significance in modern VLSI design. The objective of good multiplier to provide a physically compact high speed and low power consumption unit. Being a core part of arithmetic processing unit multipliers are in extremely high demand on its speed and low power consumption.

    To reduce significant power consumption of multiplier design it is a good direction to reduce number of operations thereby reducing a dynamic power which is a major part of total power dissipation. In the past considerable effort were put into designing multiplier in VLSI in this direction. Parallel multipliers are used to speed up the processors compared to serial multipliers

    performance energy efficient logic style is having crucial importance in VLSI circuits. Multiplication in hardware can be implemented in two ways either by using more hardware for achieving fast execution or by using less hardware and end up with slow execution [3]. Traditional hardware multiplication is performed in the same way multiplication is done by hand: partial products are computed, shifted appropriately, and summed. In this paper compare the performance of three multiplier structure like array multiplier, Booth multiplier and Wallace tree Multiplier. In all those technique

    Booth Algorithm having superior Performance Parameter. This algorithm can be slow if there are many partial products (i.e. many bits) because the output must wait until each sum is performed. Booths algorithm cuts the number of required partial products in half. This increases the speed by reducing the total number of partial product sums that must take place.

    his template, modified in MS Word 2007 and saved as a Word 97-2003 Document for the PC, provides authors with most of the formatting specifications needed for preparing electronic versions of their papers. All standard paper components have been specified for three reasons: (1) ease of use when formatting individual papers, (2) automatic compliance to electronic requirements that facilitate the concurrent or later production of electronic products, and (3) conformity of style throughout a conference proceedings. Margins, column widths, line spacing, and type styles are built-in; examples of the type styles are provided throughout this document and are identified in italic type, within parentheses, following the example. Some components, such as multi-leveled equations, graphics, and tables are not prescribed, although the various table text styles are provided. The formatter will need to create these components, incorporating the applicable criteria that follow.

  2. EASE OF USE

    Multipliers perform one of the most frequently en er ns d al l

    1. Selecting a Template (Heading 2)

      countered arithmetic op atio in igit signa processors

      (DSPs). For embedded applications, it has become essential to design more power-aware multipliers. The power aware of multipliers uses new technology called Multi precision which include some characteristics (i) non negligible silicon and power overhead,(ii)Performance and throughput reduction brought by the shut-down of parts of the circuit and/or use of reduced supply voltage and(iii) restriction and great margins to the operating condition versatility of the multiplier. High

      First, confirm that you have the correct template for your

      paper size. This template has been tailored for output on the A4 paper size. If you are using US letter-sized paper, please close this file and download the file MSW_USltr_format.

    2. Maintaining the Integrity of the Specifications

    The template is used to format your paper and style the text. All margins, column widths, line spaces, and text fonts are prescribed; please do not alter them. You may note peculiarities. For example, the head margin in this template measures proportionately more than is customary. This measurement and others are deliberate, using specifications that anticipate your paper as one part of the entire proceedings, and not as an independent document. Please do not revise any of the current designations.

  3. PREPARE YOUR PAPER BEFORE STYLING Before you begin to format your paper, first write and save

    the content as a separate text file. Keep your text and graphic files separate until after the text has been formatted and styled. Do not use hard tabs, and limit use of hard returns to only one return at the end of a paragraph. Do not add any kind of pagination anywhere in the paper. Do not number text heads- the template will do that for you.

    Finally, complete content and organizational editing before formatting. Please take note of the following items when proofreading spelling and grammar:

    1. Abbreviations and Acronyms

      Define abbreviations and acronyms the first time they are used in the text, even after they have been defined in the abstract. Abbreviations such as IEEE, SI, MKS, CGS, sc, dc, and rms do not have to be defined. Do not use abbreviations in the title or heads unless they are unavoidable.

    2. Units

      • Use either SI (MKS) or CGS as primary units. (SI units are encouraged.) English units may be used as secondary units (in parentheses). An exception would be the use of English units as identifiers in trade, such as 3.5-inch disk drive.

      • Avoid combining SI and CGS units, such as current in amperes and magnetic field in oersteds. This often leads to confusion because equations do not balance dimensionally. If you must use mixed units, clearly state the units for each quantity that you use in an equation.

      • Do not mix complete spellings and abbreviations of units: Wb/m2 or webers per square meter, not webers/m2. Spell units when they appear in text: …a few henries, not …a few H.

      • Use a zero before decimal points: 0.25, not .25. Use cm3, not cc. (bullet list)

    3. Equations

      The equations are an exception to the prescribed specifications of this template. You will need to determine whether or not your equation should be typed using either the Times New Roman or th Symbol font (please no other font).

      Identify applicable sponsor/s here. If no sponsors, delete this text box (sponsors).

      To create multileveled equations, it may be necessary to treat the equation as a graphic and insert it into the text after your paper is styled.

      Number equations consecutively. Equation numbers, within parentheses, are to position flush right, as in (1), using a right tab stop. To make your equations more compact, you may use the solidus ( / ), the exp function, or appropriate exponents. Italicize Roman symbols for quantities and variables, but not Greek symbols. Use a long dash rather than a hyphen for a minus sign. Punctuate equations with commas or periods when they are part of a sentence, as in

      a b

      Note that the equation is centered using a center tab stop. Be sure that the symbols in your equation have been defined before or immediately following the equation. Use (1), not Eq. (1) or equation (1), except at the beginning of a sentence: Equation (1) is …

    4. Some Common Mistakes

      • The word data is plural, not singular.

      • The subscript for the permeability of vacuum 0, and other common scientific constants, is zero with subscript formatting, not a lowercase letter o.

      • In American English, commas, semi-/colons, periods, question and exclamation marks are located within quotation marks only when a complete thought or name is cited, such as a title or full quotation. When quotation marks are used, instead of a bold or italic typeface, to highlight a word or phrase, punctuation should appear outside of the quotation marks. A parenthetical phrase or statement at the end of a sentence is punctuated outside of the closing parenthesis (like this). (A parenthetical sentence is punctuated within the parentheses.)

      • A graph within a graph is an inset, not an insert. The word alternatively is preferred to the word alternately (unless you really mean something that alternates).

      • Do not use the word essentially to mean approximately or effectively.

      • In your paper title, if the words that uses can accurately replace the word using, capitalize the u; if not, keep using lower-cased.

      • Be aware of the different meanings of the homophones affect and effect, complement and compliment, discreet and discrete, principal and principle.

      • Do not confuse imply and infer.

      • The prefix non is not a word; it should be joined to the word it modifies, usually without a hyphen.

      • There is no period after the et in the Latin abbreviation et al.

      • The abbreviation i.e. means that is, and the abbreviation e.g. means for example.

    An excellent style manual for science writers is [7].

  4. USING THE TEMPLATE

After the text edit has been completed, the paper is ready for the template. Duplicate the template file by using the Save As command, and use the naming convention prescribed by your conference for the name of your paper. In this newly created file, highlight all of the contents and import your prepared text file. You are now ready to style your paper; use the scroll down window on the left of the MS Word Formatting toolbar.

  1. Authors and Affiliations

    The template is designed so that author affiliations are not repeated each time for multiple authors of the same affiliation. Please keep your affiliations as succinct as possible (for example, do not differentiate among departments of the same organization). This template was designed for two affiliations.

    1. For author/s of only one affiliation (Heading 3): To change the default, adjust the template as follows.

      1. Selection (Heading 4): Highlight all author and affiliation lines.

      2. Change number of columns: Select the Columns icon from the MS Word Standard toolbar and then select 1 Column from the selection palette.

      3. Deletion: Delete the author and affiliation lines for the second affiliation.

    2. For author/s of more than two affiliations: To change the default, adjust the template as follows.

      1. Selection: Highlight all author and affiliation lines.

      2. Change number of columns: Select the Columns icon from the MS Word Standard toolbar and then select 1 Column from the selection palette.

      3. Highlight author and affiliation lines of affiliation 1 and copy this selection.

      4. Formatting: Insert one hard return immediately after the last character of the last affiliation line. Then paste down the copy of affiliation 1. Repeat as necessary for each additional affiliation.

      5. Reassign number of columns: Place your cursor to the right of the last character of the last affiliation line of an even numbered affiliation (e.g., if there are five affiliations, place your cursor at end of fourth affiliation). Drag the cursor up to highlight all of the above author and affiliation lines. Go to Column icon and select 2 Columns. If you have an odd number of affiliations, the final affiliation will be centered on the page; all previous will be in two columns.

  2. Identify the Headings

    Headings, or heads, are organizational devices that guide the reader through your paper. There are two types: component heads and text heads.

    Component heads identify the different components of your paper and are not topically subordinate to each other. Examples include ACKNOWLEDGMENTS and REFERENCES, and for these, the correct style to use is Heading 5. Use figure caption for your Figure captions, and table head for your table title. Run-in heads, such as Abstract, will require you to apply a style (in this case,

    italic) in addition to the style provided by the drop down menu to differentiate the head from the text.

    Text heads organize the topics on a relational, hierarchical basis. For example, the paper title is the primary text head because all subsequent material relates and elaborates on this one topic. If there are two or more sub-topics, the next level head (uppercase Roman numerals) should be used and, conversely, if there are not at least two sub-topics, then no subheads should be introduced. Styles named Heading 1, Heading 2, Heading 3, and Heading 4 are prescribed.

  3. Figures and Tables

    1. Positioning Figures and Tables: Place figures and tables at the top and bottom of columns. Avoid placing them in the middle of columns. Large figures and tables may span across both columns. Figure captions should be below the figures; table heads should appear above the tables. Insert figures and tables after they are cited in the text. Use the abbreviation Fig. 1, even at the beginning of a sentence.

TABLE I. TABLE STYLES

Table Head

Table Column Head

Table column subhead

Subhead

Subhead

copy

More table copya

a. Sample of a Table footnote. (Table footnote)

b.

Fig. 1. Example of a figure caption. (figure caption)

Figure Labels: Use 8 point Times New Roman for Figure labels. Use words rather than symbols or abbreviations when writing Figure axis labels to avoid confusing the reader. As an example, write the quantity Magnetization, or Magnetization, M, not just M. If including units in the label, present them within parentheses. Do not label axes only with units. In the example, write Magnetization (A/m) or Magnetization (A ( m(1), not just A/m. Do not label axes with a ratio of quantities and units. For example, write Temperature (K), not Temperature/K.

ACKNOWLEDGMENT (Heading 5)

The preferred spelling of the word acknowledgment in America is without an e after the g. Avoid th stilted expression one of us (R. B. G.) thanks …. Instead, try R.

B. G. thanks…. Put sponsor acknowledgments in the unnumbered footnote on the first page.

REFERENCES

The template will number citations consecutively within brackets [1]. The sentence punctuation follows the bracket [2]. Refer simply to the reference number, as in [3]do not use Ref. [3] or reference [3] except at the beginning of a sentence: Reference [3] was the first …

Number footnotes separately in superscripts. Place the actual footnote at the bottom of the column in which it was cited. Do not put footnotes in the reference list. Use letters for table footnotes.

Unless there are six authors or more give all authors names; do not use et al.. Papers that have not been published, even if they have been submitted for publication, should be cited as unpublished [4]. Papers that have been accepted for publication should be cited as in press [5]. Capitalize only the first word in a paper title, except for proper nouns and element symbols.

For papers published in translation journals, please give the English citation first, followed by the original foreign- language citation [6].

  1. G. Eason, B. Noble, and I.N. Sneddon, On certain integrals of Lipschitz-Hankel type involving products of Bessel functions, Phil. Trans. Roy. Soc. London, vol. A247, pp. 529-551, April 1955. (references)

  2. J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68-73.

  3. I.S. Jacobs and C.P. Bean, Fine particles, thin films and exchange anisotropy, in Magnetism, vol. III, G.T. Rado and H. Suhl, Eds. New York: Academic, 1963, pp. 271-350.

  4. K. Elissa, Title of paper if known, unpublished.

  5. R. Nicole, Title of paper with only first word capitalized, J. Name Stand. Abbrev., in press.

    We suggest that you use a text box to insert a graphic (which is ideally a 300 dpi resolution TIFF or EPS file with all fonts embedded) because this method is somewhat more stable than directly inserting a picture.

    To have non-visible rules on your frame, use the MSWord Format pull-down menu, select Text Box > Colors and Lines to choose No Fill and No Line.

    We suggest that you use a text box to insert a graphic (which is ideally a 300 dpi resolution TIFF or EPS file with all fonts embedded) because this method is somewhat more stable than directly inserting a picture.

    To have non-visible rules on your frame, use the MSWord Format pull-down menu, select Text Box > Colors and Lines to choose No Fill and No Line.

  6. Y. Yorozu, M. Hirano, K. Oka, and Y. Tagawa, Electron spectroscopy studies on magneto-optical media and plastic substrate interface, IEEE Transl. J. Magn. Japan, vol. 2, pp. 740-741, August 1987 [Digests 9th Annual Conf. Magnetics Japan, p. 301, 1982].

  7. M. Young, The Technical Writers Handbook. Mill Valley, CA: University Science, 1989.

Leave a Reply