<PAGE>

                                                                    Exhibit 3(i)

                              AMENDED AND RESTATED
                          CERTIFICATE OF INCORPORATION
                                       OF
                                  CARDIMA, INC.
                             A Delaware corporation
                        (Pursuant to Sections 242 and 245
                    of the Delaware General Corporation Law)

         CARDIMA, INC., a corporation organized and existing under and by virtue
of the General Corporation Law of the State of Delaware, hereby certifies as
follows:

         FIRST: That the name of the corporation is Cardima, Inc. and that the
corporation was originally incorporated on November 12, 1992 pursuant to the
General Corporation Law.

         SECOND: The Amended and Restated Certificate of Incorporation of this
corporation shall be restated to read in full as follows:

                                   "ARTICLE I

         The name of this corporation is Cardima, Inc.

                                   ARTICLE II

         The address of the registered office of this corporation in the State
of Delaware is 1013 Centre Road, City of Wilmington, County of New Castle,
Delaware 19805. The name of its registered agent at such address is Corporation
Service Company.

                                   ARTICLE III

         The nature of the business or purposes to be conducted or promoted is
to engage in any lawful act or activity for which corporations may be organized
under the General Corporation Law of Delaware.

                                   ARTICLE IV

         This corporation is authorized to issue two classes of stock to be
designated common stock ("Common Stock") and preferred stock ("Preferred
Stock"). The total number of shares which the Corporation is authorized to issue
is Thirty Million (30,000,000) shares. The number of shares of Common Stock
authorized to be issued is Twenty-Five Million (25,000,000), par value $0.001
per share, and the number of shares of Preferred Stock authorized to be issued
is Five Million (5,000,000), par value $0.001 per share.

         The Preferred Stock may be issued from time to time in one or more
series, without further stockholder approval. The Board of Directors is hereby
authorized, in the resolution or resolutions adopted by the Board of Directors
providing for the issuance of any wholly unissued series of Preferred Stock,
within the limitations and restrictions stated in this Amended and Restated
Certificate of Incorporation, to fix or alter the dividend rights, dividend
rate, conversion rights, voting rights, rights and terms of redemption
(including sinking fund provisions), the

                                        1

<PAGE>

redemption price or prices, and the liquidation preferences of any wholly
unissued series of Preferred Stock, and the number of shares constituting any
such series and the designation thereof, or any of them, and to increase or
decrease the number of shares of any series subsequent to the issue of shares of
that series, but not below the number of shares of such series then outstanding.
In case the number of shares of any series shall be so decreased, the shares
constituting such decrease shall resume the status that they had prior to the
adoption of the resolution originally fixing the number of shares of such
series.

                                    ARTICLE V

         Except as otherwise provided in this Amended and Restated Certificate
of Incorporation, in furtherance and not in limitation of the powers conferred
by statute, the Board of Directors is expressly authorized to make, repeal,
alter, amend, and rescind any or all of the Bylaws of this corporation.

                                   ARTICLE VI

         The number of directors of this corporation shall be fixed from time to
time by a bylaw or amendment thereof duly adopted by the Board of Directors or
by the stockholders.

                                   ARTICLE VII

         Elections of directors need not be by written ballot unless the Bylaws
of this corporation shall so provide.

                                  ARTICLE VIII

         Meetings of stockholders may be held within or without the State of
Delaware, as the Bylaws may provide. The books of this corporation may be kept
(subject to any provision contained in the statutes) outside the State of
Delaware at such place or places as may be designated from time to time by the
Board of Directors or in the Bylaws of this corporation.

                                   ARTICLE IX

         A director of this corporation shall, to the full extent permitted by
the Delaware General Corporation Law as it now exists or as it may hereafter be
amended, not be liable to this corporation or its stockholders for monetary
damages for breach of fiduciary duty as a director. Neither any amendment nor
repeal of this Article, nor the adoption of any provision of this Amended and
Restated Certificate of Incorporation inconsistent with this Article, shall
eliminate or reduce the effect of this Article in respect of any matter
occurring, or any cause of action, suit or claim that, but for this Article,
would accrue or arise, prior to such amendment, repeal or adoption of an
inconsistent provision.

                                    ARTICLE X

         No action required to be taken or that may be taken at any annual or
special meeting of the stockholders of this corporation may be taken without a
meeting, and the power of

                                        2

<PAGE>

stockholders to consent in writing, without a meeting, to the taking of any
action is specifically denied.

                                   ARTICLE XI

         To the fullest extent permitted by applicable law, this corporation is
authorized to provide indemnification of (and advancement of expenses to) its
agents (and any other persons to which Delaware law permits this corporation to
provide indemnification) through Bylaw provisions, agreements with such agents
or other persons, vote of stockholders or disinterested directors or otherwise,
in excess of the indemnification and advancement otherwise permitted by Section
145 of the Delaware General Corporation Law, subject only to limits created by
applicable Delaware law (statutory or non-statutory), with respect to actions
for breach of duty to this corporation, its stockholders, and others.

         Any repeal or modification of any of the foregoing provisions of this
Article shall not adversely affect any right or protection of a director,
officer, agent or other person existing at the time of, or increase the
liability of any director of this corporation with respect to any acts or
omissions of such director, officer, agent or other person occurring prior to
such repeal or modification.

                                   ARTICLE XII

         This corporation reserves the right to amend, alter, change or repeal
any provision contained in this Amended and Restated Certificate of
Incorporation, in the manner now or hereafter prescribed by statute, and all
rights conferred upon stockholders herein are granted subject to this
reservation."

                                      * * *

         THIRD: That thereafter said amendment and restatement was duly adopted
in accordance with the provisions of Section 242 and Section 245 of the Delaware
General Corporation Law by obtaining a majority vote of each of the Common Stock
and Preferred Stock, in favor of said amendment and restatement in the manner
set forth in Section 228 of the Delaware General Corporation Law.

                                        3

<PAGE>

         IN WITNESS WHEREOF, CARDIMA, INC. has caused this Amended and Restated
sCertificate of Incorporation to be signed by its President and attested to by
its Secretary this 11th day of June, 1997.


                                          CARDIMA, INC.


                                          /s/ Phillip C. Radlick
                                          --------------------------------------
                                          Phillip C. Radlick, Ph.D.
                                          President and Chief Executive Officer

ATTEST


------------------------------------
Joshua L. Green, Secretary

                                        4

<PAGE>

                           CERTIFICATE OF AMENDMENT OF

              AMENDED AND RESTATED CERTIFICATE OF INCORPORATION OF

                                  CARDIMA, INC.

         Cardima, Inc., a corporation organized and existing under the laws of
     the State of Delaware, hereby certifies as follows:

         FIRST: The name of the Corporation is Cardima, Inc

         SECOND: The date of filing of its original Certificate of Incorporation
     with the Secretary of State of Delaware was November 12, 1992.

         THIRD: At a meeting of the Board of Directors of Cardima, Inc.,
     resolutions were duly adopted providing that:

         (i) Article IV of the Certificate of Incorporation of Cardima, Inc., as
     amended, shall be hereby amended and restated to read as follows:

                                   "ARTICLE IV

                  "This corporation is authorized to issue two classes of stock
         to be designated common stock ("Common Stock") and preferred
         ("Preferred Stock"). The total number of shares which the Corporation
         is authorized to issue is Fifty Five Million (55,000,000) shares. The
         number of shares of Common Stock authorized to be issued is Fifty
         Million (50,000,000), par value $0.001 per share, and the number of
         shares of Preferred Stock authorized to be issued is Five Million
         (5,000,000), par value $0.001 per share.

                  The Preferred Stock may be issued from time to time in one or
         more series, without further stockholder approval. The Board of
         Directors is hereby authorized, in the resolution or resolutions
         adopted by the Board of Directors providing for the issuance of any
         wholly unissued series of Preferred Stock, within the limitations and
         restrictions stated in this Amended and Restated Certificate of
         Incorporation, to fix or alter the dividend rights, dividend rate
         conversion rights, voting rights, rights and terms of
         redemption(including sinking fund provisions), the redemption price or
         prices, and the liquidation preferences of any wholly unissued series
         of Preferred Stock, and the number of shares constituting any such
         series and the designation thereof, or any of them, and to increase or
         decrease the number of shares of any series subsequent to the issue of
         shares of that series, but not below the number or shares of such
         series then outstanding. In case the number of shares of any series
         shall be so decreased, the shares constituting such decrease shall
         resume the status that they had prior to the adoption of the resolution
         originally fixing the number of shares of such series."

         FOURTH: That thereafter, pursuant to resolution of its Board of
     Directors, a meeting of the stockholders of said corporation was duly
     called and held, upon notice in accordance

<PAGE>

     with Section 222 of the General Corporation Law of the State of Delaware,
     at which meeting the necessary number of shares as required by statute were
     voted in favor of the amendment.

         FIFTH: This Certificate of Amendment of Certificate of Incorporation
     was duly adopted at said annual meeting of the stockholders in accordance
     with the provisions of section 242 of the General Corporation Law of the
     State of Delaware.

         IN WITNESS WHEREOF, said Cardima, Inc. has caused this certificate to
     be signed by its President and Chief Executive Officer, Phillip C. Radlick,
     Ph.D. this 16th day of June, 2000.

                                      By    /s/ Phillip C. Radlick
                                         ---------------------------------------
                                          Phillip C. Radlick, Ph.D.
                                          President and Chief Executive Officer

                                       -2-

<PAGE>

                           CERTIFICATE OF AMENDMENT OF

              AMENDED AND RESTATED CERTIFICATE OF INCORPORATION OF

                                  CARDIMA, INC.

         Cardima, Inc., a corporation organized and existing under the laws of
the State of Delaware, hereby certifies as follows:

         FIRST: The name of the Corporation is Cardima, Inc

         SECOND: The date of filing of its original Certificate of Incorporation
with the Secretary of State of Delaware was November 12, 1992.

         THIRD: At a meeting of the Board of Directors of Cardima, Inc.,
resolutions were duly adopted providing that:

         (i) Article IV of the Certificate of Incorporation of Cardima, Inc., as
amended, shall be hereby amended and restated to read as follows:

                                   "ARTICLE IV

                  "This corporation is authorized to issue two classes of stock
         to be designated common stock ("Common Stock") and preferred
         ("Preferred Stock"). The total number of shares which the Corporation
         is authorized to issue is Eighty Million (80,000,000) shares. The
         number of shares of Common Stock authorized to be issued is Seventy
         Five Million (75,000,000), par value $0.001 per share, and the number
         of shares of Preferred Stock authorized to be issued is Five Million
         (5,000,000), par value $0.001 per share.

                  The Preferred Stock may be issued from time to time in one or
         more series, without further stockholder approval. The Board of
         Directors is hereby authorized, in the resolution or resolutions
         adopted by the Board of Directors providing for the issuance of any
         wholly unissued series of Preferred Stock, within the limitations and
         restrictions stated in this Amended and Restated Certificate of
         Incorporation, to fix or alter the dividend rights, dividend rate
         conversion rights, voting rights, rights and terms of
         redemption(including sinking fund provisions), the redemption price or
         prices, and the liquidation preferences of any wholly unissued series
         of Preferred Stock, and the number of shares constituting any such
         series and the designation thereof, or any of them, and to increase or
         decrease the number of shares of any series subsequent to the issue of
         shares of that series, but not below the number or shares of such
         series then outstanding. In case the number of shares of any series
         shall be so decreased, the shares constituting such decrease shall
         resume the status that they had prior to the adoption of the resolution
         originally fixing the number of shares of such series."

         FOURTH: That thereafter, pursuant to resolution of its Board of
Directors, a meeting of the stockholders of said corporation was duly called and
held, upon notice in accordance with

<PAGE>

Section 222 of the General Corporation Law of the State of Delaware, at which
meeting the necessary number of shares as required by statute were voted in
favor of the amendment.

                 FIFTH: This Certificate of Amendment of Certificate of
Incorporation was duly adopted at said annual meeting of the stockholders in
accordance with the provisions of section 242 of the General Corporation Law of
the State of Delaware.

                 IN WITNESS WHEREOF, said Cardima, Inc. has caused this
certificate to be signed by its Chief Executive Officer, Gabriel B. Vegh this
19th day of June, 2001.

                                           By    /s/ Gabriel B. Vegh
                                               -------------------------------
                                                 Gabriel B. Vegh
                                                 Chief Executive Officer

                                       -2-

<PAGE>

                           Certificate of Designation,

                            Rights and Preferences of

                    Series A Participating Preferred Stock of

                                  Cardima, Inc.


     We, Gabriel B. Vegh, Chief Executive Officer, and Ronald E. Bourquin,
Secretary, of Cardima, Inc., a corporation organized and existing under the
General Corporation Law of the State of Delaware (the "Corporation"), DO HEREBY
CERTIFY:

     That pursuant to the authority conferred upon the Board of Directors by the
Certificate of Incorporation of this Corporation, the Board of Directors
effective on May 17, 2002 adopted the following resolution creating a series of
Seven Hundred Fifty Thousand (750,000) shares of Preferred Stock designated as
Series A Participating Preferred Stock:

     RESOLVED, that pursuant to the authority vested in the Board of Directors
of this Corporation in accordance with the provisions of its Certificate of
Incorporation, a series of Preferred Stock of the Corporation be and it hereby
is created, and that the designation and amount thereof and the powers,
preferences and relative, participating, optional and other special rights of
the shares of such series, and the qualifications, limitations or restrictions
thereof are as follows:

     1.   Designation and Amount. The shares of such series shall be designated
as "Series A Participating Preferred Stock," $0.001 par value per share, and the
number of shares constituting such series shall be Seven Hundred Fifty Thousand
(750,000). Such number of shares may be increased or decreased by resolution of
the Board of Directors; provided, that no decrease shall reduce the number of
shares of Series A Participating Preferred Stock to a number less than that of
the number of shares then outstanding plus the number of shares issuable upon
the exercise of outstanding rights, options or warrants or upon conversion of
outstanding securities issued by the Corporation.

     2.   Dividends and Distributions.

     (A)  Subject to the prior and superior rights of the holders of any shares
of any series of Preferred Stock ranking prior and superior to the shares of
Series A Participating Preferred Stock with respect to dividends, the holders of
shares of Series A Participating Preferred Stock in preference to the holders of
shares of Common Stock, par value $0.001 per share (the "Common Stock"), of the
Corporation and any other junior stock, shall be entitled to receive, when, as
and if declared by the Board of Directors out of funds legally available for the
purpose, quarterly dividends payable in cash on the first day of March, June,
September and December in each year (each such date being referred to herein as
a "Quarterly Dividend Payment Date"), commencing on the first Quarterly Dividend
Payment Date after the first issuance of a share or fraction of a share of
Series A Participating Preferred Stock in an amount per share (rounded to the
nearest cent) equal to the greater of (a) $50.00, or (b) subject to the
provision for adjustment hereinafter set forth, one hundred (100) times the
aggregate per share amount of all cash dividends, and one

<PAGE>

hundred (100) times the aggregate per share amount (payable in kind) of all
non-cash dividends or other distributions other than a dividend payable in
shares of Common Stock or a subdivision of the outstanding shares of Common
Stock (by reclassification or otherwise), declared on the Common Stock, since
the immediately preceding Quarterly Dividend Payment Date, or, with respect to
the first Quarterly Dividend Payment Date, since the first issuance of any share
or fraction of a share of Series A Participating Preferred Stock. In the event
the Corporation shall at any time after the close of business on May 20, 2002
(the "Rights Declaration Date") (i) declare any dividend on Common Stock payable
in shares of Common Stock, (ii) subdivide the outstanding Common Stock or (iii)
combine the outstanding Common Stock into a smaller number of shares, by
reclassification or otherwise, then in each such case the amount to which
holders of shares of Series A Participating Preferred Stock were entitled
immediately prior to such event under clause (b) of the preceding sentence shall
be adjusted by multiplying such amount by a fraction the numerator of which is
the number of shares of Common Stock outstanding immediately after such event
and the denominator of which is the number of shares of Common Stock that were
outstanding immediately prior to such event.

     (B)  The Corporation shall declare a dividend or distribution on the Series
A Participating Preferred Stock as provided in paragraph (A) above immediately
after it declares a dividend or distribution on the Common Stock (other than a
dividend payable in shares of Common Stock); provided that, in the event no
dividend or distribution shall have been declared on the Common Stock during the
period between any Quarterly Dividend Payment Date and the next subsequent
Quarterly Dividend Payment Date, a dividend of $50.00 per share on the Series A
Participating Preferred Stock shall nevertheless be payable on such subsequent
Quarterly Dividend Payment Date.

     (C)  Dividends shall begin to accrue and be cumulative on outstanding
shares of Series A Participating Preferred Stock from the Quarterly Dividend
Payment Date next preceding the date of issue of such shares of Series A
Participating Preferred Stock unless the date of issue of such shares is prior
to the record date for the first Quarterly Dividend Payment Date, in which case
dividends on such shares shall begin to accrue from the date of issue of such
shares, or unless the date of issue is a Quarterly Dividend Payment Date or is a
date after the record date for the determination of holders of shares of Series
A Participating Preferred Stock entitled to receive a quarterly dividend and
before such Quarterly Dividend Payment Date in either of which events such
dividends shall begin to accrue and be cumulative from such Quarterly Dividend
Payment Date. Accrued but unpaid dividends shall not bear interest. Dividends
paid on the shares of Series A Participating Preferred Stock in an amount less
than the total amount of such dividends at the time accrued and payable on such
shares shall be allocated pro rata on a share-by-share basis among all such
shares at the time outstanding. The Board of Directors may fix a record date for
the determination of holders of shares of Series A Participating Preferred Stock
entitled to receive payment of a dividend or distribution declared thereon,
which record date shall be no more than thirty (30) days prior to the date fixed
for the payment thereof.

     3.   Voting Rights. The holders of shares of Series A Participating
Preferred Stock shall have the following voting rights:

                                       2

<PAGE>

          (A)   Subject to the provision for adjustment hereinafter set forth,
     each share of Series A Participating Preferred Stock shall entitle the
     holder thereof to one hundred (100) votes on all matters submitted to a
     vote of the stockholders of the Corporation. In the event the Corporation
     shall at any time after the Rights Declaration Date (i) declare any
     dividend on Common Stock payable in shares of Common Stock, (ii) subdivide
     the outstanding Common Stock into a greater number of shares or (iii)
     combine the outstanding Common Stock into a smaller number of shares, by
     reclassification or otherwise, then in each such case the number of votes
     per share to which holders of shares of Series A Participating Preferred
     Stock were entitled immediately prior to such event shall be adjusted by
     multiplying such number by a fraction the numerator of which is the number
     of shares of Common Stock outstanding immediately after such event and the
     denominator of which is the number of shares of Common Stock outstanding
     immediately prior to such event.

          (B)   Except as otherwise provided herein or by law, the holders of
     shares of Series A Participating Preferred Stock and the holders of shares
     of Common Stock shall vote together as one class on all matters submitted
     to a vote of stockholders of the Corporation.

          (C)   (i) If at any time dividends on any Series A Participating
     Preferred Stock shall be in arrears in an amount equal to six quarterly
     dividends thereon, the occurrence of such contingency shall mark the
     beginning of a period (herein called a "default period") which shall extend
     until such time when all accrued and unpaid dividends for all previous
     quarterly dividend periods and for the current quarterly dividend period on
     all shares of Series A Participating Preferred Stock then outstanding shall
     have been declared and paid or set apart for payment. During each default
     period, all holders of Preferred Stock (including holders of the Series A
     Participating Preferred Stock) with dividends in arrears in an amount equal
     to six quarterly dividends thereon, voting as a class, irrespective of
     series, shall have the right to elect two directors.

          (ii)  During any default period, such voting right of the holders of
     Series A Participating Preferred Stock may be exercised initially at a
     special meeting called pursuant to subparagraph (iii) of this Section 3(C)
     or at any annual meeting of stockholders, and thereafter at annual meetings
     of stockholders, provided that neither such voting right nor the right of
     the holders of any other series of Preferred Stock, if any, to increase, in
     certain cases, the authorized number of directors shall be exercised unless
     the holders of ten percent (10%) in number of shares of Preferred Stock
     outstanding shall be present in person or by proxy. The absence of a quorum
     of the holders of Common Stock shall not affect the exercise by the holders
     of Preferred Stock of such voting right. At any meeting at which the
     holders of Preferred Stock shall exercise such voting right initially
     during an existing default period, they shall have the right, voting as a
     class, to elect directors to fill such vacancies, if any, in the Board of
     Directors as may then exist up to two directors or, if such right is
     exercised at an annual meeting, to elect two directors. If the number which
     may be so elected at any special meeting does not

                                       3

<PAGE>

     amount to the required number, the holders of the Preferred Stock shall
     have the right to make such increase in the number of directors as shall be
     necessary to permit the election by them of the required number. After the
     holders of the Preferred Stock shall have exercised their right to elect
     directors in any default period and during the continuance of such period,
     the number of directors shall not be increased or decreased except by vote
     of the holders of Preferred Stock as herein provided or pursuant to the
     rights of any equity securities ranking senior to or pari passu with the
     Series A Participating Preferred Stock.

          (iii) Unless the holders of Preferred Stock, during an existing
     default period, shall have previously exercised their right to elect
     directors, the Board of Directors may order, or any stockholder or
     stockholders owning in the aggregate not less than ten percent (10%) of the
     total number of shares of Preferred Stock outstanding, irrespective of
     series, may request, the calling of a special meeting of the holders of
     Preferred Stock, which meeting shall thereupon be called by the President,
     a Vice President or the Secretary of the Corporation. Notice of such
     meeting and of any annual meeting at which holders of Preferred Stock are
     entitled to vote pursuant to this paragraph (C)(iii) shall be given to each
     holder of record of Preferred Stock by mailing a copy of such notice to
     such holder at such holder's last address as the same appears on the books
     of the Corporation. Such meeting shall be called for a time not earlier
     than ten (10) days and not later than sixty (60) days after such order or
     request or in default of the calling of such meeting within sixty (60) days
     after such order or request, such meeting may be called on similar notice
     by any stockholder or stockholders owning in the aggregate not less than
     ten percent (10%) of the total number of shares of Preferred Stock
     outstanding. Notwithstanding the provisions of this paragraph (C)(iii), no
     such special meeting shall be called during the period within sixty (60)
     days immediately preceding the date fixed for the next annual meeting of
     the stockholders.

          (iv)  In any default period, the holders of Common Stock, and other
     classes of stock of the Corporation, if applicable, shall continue to be
     entitled to elect the whole number of directors until the holders of
     Preferred Stock shall have exercised their right to elect two directors
     voting as a class, after the exercise of which right (x) the directors so
     elected by the holders of Preferred Stock shall continue in office until
     their successors shall have been elected by such holders or until the
     expiration of the default period, and (y) any vacancy in the Board of
     Directors may (except as provided in paragraph (C)(ii) of this Section 3)
     be filled by vote of a majority of the remaining directors theretofore
     elected by the holders of the class of stock which elected the director
     whose office shall have become vacant. References in this paragraph (C) to
     directors elected by the holders of a particular class of stock shall
     include directors elected by such directors to fill vacancies as provided
     in clause (y) of the foregoing sentence.

          (v)   Immediately upon the expiration of a default period, (x) the
     right of the holders of Preferred Stock as a class to elect directors shall
     cease, (y) the term of any directors elected by the holders of Preferred
     Stock as a class shall

                                       4

<PAGE>

         terminate, and (z) the number of directors shall be such number as may
         be provided for in, or pursuant to, the Certificate of Incorporation or
         Bylaws irrespective of any increase made pursuant to the provisions of
         paragraph (C)(ii) of this Section 3 (such number being subject,
         however, to change thereafter in any manner provided by law or in the
         Certificate of Incorporation or Bylaws). Any vacancies in the Board of
         Directors effected by the provisions of clauses (y) and (z) in the
         preceding sentence may be filled by a majority of the remaining
         directors, even though less than a quorum.

                  (D) Except as set forth herein, holders of Series A
         Participating Preferred Stock shall have no special voting rights and
         their consent shall not be required (except to the extent they are
         entitled to vote with holders of Common Stock as set forth herein) for
         taking any corporate action.

         4.       Certain Restrictions.

         (A)      Whenever quarterly dividends or other dividends or
distributions payable on the Series A Participating Preferred Stock as provided
in Section 2 are in arrears, thereafter and until all accrued and unpaid
dividends and distributions, whether or not declared, on shares of Series A
Participating Preferred Stock outstanding shall have been paid in full, the
Corporation shall not

                  (i)   declare or pay dividends on, make any other
         distributions on, or redeem or purchase or otherwise acquire for
         consideration any shares of stock ranking junior (either as to
         dividends or upon liquidation, dissolution or winding up) to the Series
         A Participating Preferred Stock;

                  (ii)  declare or pay dividends on or make any other
         distributions on any shares of stock ranking on a parity (either as to
         dividends or upon liquidation, dissolution or winding up) with the
         Series A Participating Preferred Stock except dividends paid ratably on
         the Series A Participating Preferred Stock and all such parity stock on
         which dividends are payable or in arrears in proportion to the total
         amounts to which the holders of all such shares are then entitled;

                  (iii) redeem or purchase or otherwise acquire for
         consideration shares of any stock ranking on a parity (either as to
         dividends or upon liquidation, dissolution or winding up) with the
         Series A Participating Preferred Stock provided that the Corporation
         may at any time redeem, purchase or otherwise acquire shares of any
         such parity stock in exchange for shares of any stock of the
         Corporation ranking junior (either as to dividends or upon dissolution,
         liquidation or winding up) to the Series A Participating Preferred
         Stock; or

                  (iv)  purchase or otherwise acquire for consideration any
         shares of Series A Participating Preferred Stock or any shares of stock
         ranking on a parity with the Series A Participating Preferred Stock
         except in accordance with a purchase offer made in writing or by
         publication (as determined by the Board of Directors) to all holders of
         such shares upon such terms as the Board of Directors,

                                       5

<PAGE>

         after consideration of the respective annual dividend rates and other
         relative rights and preferences of the respective series and classes,
         shall determine in good faith will result in fair and equitable
         treatment among the respective series or classes.

         (B) The Corporation shall not permit any subsidiary of the Corporation
to purchase or otherwise acquire for consideration any shares of stock of the
Corporation unless the Corporation could, under paragraph (A) of this Section 4,
purchase or otherwise acquire such shares at such time and in such manner.

         5.  Reacquired Shares. Any shares of Series A Participating Preferred
Stock purchased or otherwise acquired by the Corporation in any manner
whatsoever shall be retired and cancelled promptly after the acquisition
thereof. All such shares shall upon their cancellation become authorized but
unissued shares of Preferred Stock and may be reissued as part of a new series
of Preferred Stock to be created by resolution or resolutions of the Board of
Directors, subject to the conditions and restrictions on issuance set forth
herein.

         6.  Liquidation, Dissolution or Winding Up.

         (A) Upon any liquidation (voluntary or otherwise), dissolution or
winding up of the Corporation, no distribution shall be made to the holders of
shares of stock ranking junior (either as to dividends or upon liquidation,
dissolution or winding up) to the Series A Participating Preferred Stock unless,
prior thereto, the holders of shares of Series A Participating Preferred Stock
shall have received per share, the greater of one hundred (100) times $1.00 or
one hundred (100) times the payment made per share of Common Stock, plus an
amount equal to accrued and unpaid dividends and distributions thereon, whether
or not declared, to the date of such payment (the "Series A Liquidation
Preference"). Following the payment of the full amount of the Series A
Liquidation Preference, no additional distributions shall be made to the holders
of shares of Series A Participating Preferred Stock unless, prior thereto, the
holders of shares of Common Stock shall have received an amount per share (the
"Common Adjustment") equal to the quotient obtained by dividing (i) the Series A
Liquidation Preference by (ii) one hundred (100) (as appropriately adjusted as
set forth in subparagraph (C) below to reflect such events as stock splits,
stock dividends and recapitalization with respect to the Common Stock) (such
number in clause (ii), the "Adjustment Number"). Following the payment of the
full amount of the Series A Liquidation Preference and the Common Adjustment in
respect of all outstanding shares of Series A Participating Preferred Stock and
Common Stock, respectively, holders of Series A Participating Preferred Stock
and holders of shares of Common Stock shall receive their ratable and
proportionate share of the remaining assets to be distributed in the ratio of
the Adjustment Number to one with respect to such Preferred Stock and Common
Stock, on a per share basis, respectively.

         (B) In the event there are not sufficient assets available to permit
payment in full of the Series A Liquidation Preference and the liquidation
preferences of all other series of Preferred Stock, if any, which rank on a
parity with the Series A Participating Preferred Stock, then such remaining
assets shall be distributed ratably to the holders of such parity shares in
proportion to their respective liquidation preferences. In the event there are
not sufficient assets available to permit payment in full of the Common
Adjustment, then such remaining assets shall be distributed ratably to the
holders of Common Stock.

                                       6

<PAGE>

         (C) In the event the Corporation shall at any time after the Rights
Declaration Date (i) declare any dividend on Common Stock payable in shares of
Common Stock, (ii) subdivide the outstanding Common Stock or (iii) combine the
outstanding Common Stock into a smaller number of shares, by reclassification or
otherwise, then in each such case the Adjustment Number in effect immediately
prior to such event shall be adjusted by multiplying such Adjustment Number by a
fraction the numerator of which is the number of shares of Common Stock
outstanding immediately after such event and the denominator of which is the
number of shares of Common Stock that were outstanding immediately prior to such
event.

         7.  Consolidation, Merger, etc. In case the Corporation shall enter
into any consolidation, merger, combination or other transaction in which the
shares of Common Stock are exchanged for or changed into other stock or
securities, cash and/or any other property, then in any such case the shares of
Series A Participating Preferred Stock shall at the same time be similarly
exchanged or changed in an amount per share (subject to the provision for
adjustment hereinafter set forth) equal to one hundred (100) times the aggregate
amount of stock, securities, cash and/or any other property (payable in kind),
as the case may be, into which or for which each share of Common Stock is
changed or exchanged. In the event the Corporation shall at any time after the
Rights Declaration Date (i) declare any dividend on Common Stock payable in
shares of Common Stock, (ii) subdivide the outstanding Common Stock or (iii)
combine the outstanding Common Stock into a smaller number of shares, then in
each such case the amount set forth in the preceding sentence with respect to
the exchange or change of shares of Series A Participating Preferred Stock shall
be adjusted by multiplying such amount by a fraction the numerator of which is
the number of shares of Common Stock outstanding immediately after such event
and the denominator of which is the number of shares of Common Stock that are
outstanding immediately prior to such event.

         8.  Redemption. The shares of Series A Participating Preferred Stock
shall not be redeemable.

         9.  Ranking. The Series A Participating Preferred Stock shall rank
junior to all other series of the Corporation's Preferred Stock as to the
payment of dividends and the distribution of assets, unless the terms of any
such series shall provide otherwise.

         10. Amendment. The Certificate of Incorporation and the Bylaws of the
Corporation shall not be further amended in any manner which would materially
alter or change the powers, preferences or special rights of the Series A
Participating Preferred Stock so as to affect them adversely without the
affirmative vote of the holders of at least 66?% of the outstanding shares of
Series A Participating Preferred Stock voting separately as a class.

         11. Fractional Shares. Series A Participating Preferred Stock may be
issued in fractions of a share which shall entitle the holder, in proportion to
such holder's fractional shares, to exercise voting rights, receive dividends,
participate in distributions and to have the benefit of all other rights of
holders of Series A Participating Preferred Stock.

                                       7

<PAGE>

         IN WITNESS WHEREOF, we have executed and subscribed this Certificate
and do affirm the foregoing as true under the penalties of perjury this 20th day
of May, 2002.

                                                   /s/ Gabriel Vegh
                                                   -----------------------------
                                                   Gabriel B. Vegh
                                                   Chief Executive Officer




                                                   Attest:




                                                   /s/ Ronald Bourquin
                                                   -----------------------------
                                                   Ronald E. Bourquin
                                                   Secretary

                                       8

<PAGE>

                           CERTIFICATE OF AMENDMENT OF

              AMENDED AND RESTATED CERTIFICATE OF INCORPORATION OF

                                  CARDIMA, INC.

     Cardima, Inc., a corporation organized and existing under the laws of the
State of Delaware, hereby certifies as follows:

     FIRST: The name of the Corporation is Cardima, Inc

     SECOND: The date of filing of its original Certificate of Incorporation
with the Secretary of State of Delaware was November 12, 1992.

     THIRD: At a meeting of the Board of Directors of Cardima, Inc., resolutions
were duly adopted providing that:

     (i) The first paragraph of Article IV of the Certificate of Incorporation
of Cardima, Inc., as amended, shall be hereby amended and restated to read as
follows:

                                   "ARTICLE IV

          "This corporation is authorized to issue two classes of stock to be
     designated common stock ("Common Stock") and preferred ("Preferred Stock").
     The total number of shares which the Corporation is authorized to issue is
     One Hundred Five Million (105,000,000) shares. The number of shares of
     Common Stock authorized to be issued is One Hundred Million (100,000,000),
     par value $0.001 per share, and the number of shares of Preferred Stock
     authorized to be issued is Five Million (5,000,000), par value $0.001 per
     share."

     FOURTH: That thereafter, pursuant to resolution of its Board of Directors,
a meeting of the stockholders of said corporation was duly called and held, upon
notice in accordance with Section 222 of the General Corporation Law of the
State of Delaware, at which meeting the necessary number of shares as required
by statute were voted in favor of the amendment.

     FIFTH: This Certificate of Amendment of Certificate of Incorporation was
duly adopted at said annual meeting of the stockholders in accordance with the
provisions of section 242 of the General Corporation Law of the State of
Delaware.

<PAGE>

     IN WITNESS WHEREOF, said Cardima, Inc. has caused this certificate to be
signed by its Chief Executive Officer, Gabriel B. Vegh this 10th day of October,
2002.

                                               By  /s/ Gabriel Vegh
                                                  ------------------------------
                                                   Gabriel B. Vegh
                                                   Chief Executive Officer

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