1
BOOK REVIEWS James F. Bartram 94 Kane Avenue, Middletown, Rhode Island 02840 The opinions expressed are those of the individual reviewers and are not necessar//y endorsedby the Ed/toria/Board of thisJourna/. Editorial Policy:/f there is a negative review, the authorof the book w/i/be givena chance to respond to the review/n this section of the Journa/ and the reviewer w/i/be a//owed to respondto the author'scomments. [See "Book ReviewsEditor's Note, "J. Acoust. Soc. Am. 81, 1651 (May 1987).] Mecanique des Milieux Poreux Olivier Coussy Editions Technip, Paris, France, 1991. xxi 4-437pp. Price495francs. ISBN: 2- 7108-0595-2. Mechanics of porous media is a hybrid science, drawing on various disciplines: elasticity,plasticity,fluid mechanics, and thermodynamics. The theory of porous solids is fundamental to geophysics andsoilmechan- ics. It isrelevant to engineering applications of majoreconomic importance, in particularto the extraction of oil. In spite of the pivotal importance of thisbranch of applied mechanics, thisreviewer isonlyaware of contributions to theperiodical literature, such asthe sequence of classical papers by M. A. Blot. To thisreviewer's knowl- edge, Olivier Coussy's work is thefirst endeavor at consolidating the theory of the mechanics of porous media in a comprehensive book. The authoris a member of the faculties of the two mostprestigious engineering schools of France. To an American audience, hisothertitle (Research Engineer at the CentralLaboratory for Bridges andHighways)sounds surprisingly practi- cal for a researcher who is primarily a superb theoretician. Coussy's work is eminently satisfying. It is self-contained, the system- atic development starting from fundamental concepts of mechanics of solid media and extending to all significant ramifications of the theory, viz., to situations as complexas a porous solidwhose communicating interstices contain a gas and a fluid in the form of liquid or vapor. The bookis purely theoretical, no practical applications beingcovered. It is accessible to an audience of applied physicists and graduate engineers with no previous ex- perience in thisdiscipline but with a taste for mathematical rigor.Since the technical and scientific audience in the United States appears to become increasingly monolingual, second language requirements not withstanding, the reviewer hopes that this importantbookwill be translated. MIGUEL C. JUNGER Cambridge Acoustical Associates, Inc. 80 Sherman Street Cambridge, Massachusetts 02140 Digital Signal Processing---Efficient Convolution and Fourier Transform Techniques D.G. Myers Prentice-Hall, New York, NE 1990. xi 4-355pp. Digital signalprocessing (DSP) has become an important tool in a varietyof applications such assonar, radar,acoustics, biomedical engineer- ing,andmanyothers. DSP deals with representation of signals by sequences of numbers andprocessing of these number sequences. The objective of such processing may be, for example, to estimate parameters of a signal or to transform signals into a form whichin some sense ismore desirable or more easily understood. High-speed digitalcomputer technology has fostered the development of sophisticated signal processing algorithms for applications in many fields such as sonar, radar, and medical engineering. Thisbook, DigitalSignal Processing--Efficient Convolution andFour- ier Transform Techniques, focuses purelyon convolution aspects of digital signal processing. It isconcerned purely with the mechanics of digital con- volution, and addresses various efficientmethodsof digital convolution, whichisat the coreof digitalsignal processing. Convolution arises whenan input signal is provided to a mathematical modelin order to produce an output signal. This bookfocuses on two approaches to convolution. One, the direct approach, focuses on the equations themselves; and the second transforms theproblem into frequency domain where convolution iseasier. This book is intended mainly for senior undergraduates and beginning graduate students; in particular, students in engineering, geology, physics, mathematics, computer science, and similar disciplines seeking a knowl- edge of advanced signal processing methods. This is an unusual book, both in terms of organization of materialand approaches leading to the solution of a problem. This bookhas four parts. The firstsets the framework for the endeavor andreviews andintroduces some general mathematical results. The second concentrates on the various fastFourier transformtechniques together with some relatedmethods. The third looksat a number of theoretic approaches to digital convolution. The fourth looks at polynomials. The moreunusual aspects of the formatlie within theparts themselves. Except for Part 1, the otherpartsconsist mainlyof tools, theory,develop- mentsand implementation issues. The initial emphasis is on tools--math- ematical techniques whichcanbeemployed, followed by theory--the work- ingbase of knowledge created with the tools andaimed at a broad spectrum of applications. Finally, implementation issues areconsidered--the practi- cal concerns of engineering solutions. Part 1 deals with problemfoundations, including the application of digital convolution in the area of sonar, radar, medical engineering, con- cepts of digitalconvolution, the algorithms of digitalconvolution, exercises and problems, and mathematical foundations. The heart of thebook isdigital convolution. Therefore, a fewimages of digitalconvolution [for example, Figs.3.5 through 3.13 (Ref. 1) ] arehelp- ful in understanding digital convolution from abstract concepts. The sec- tionedconvolution, as shown in Fig. 1.2, is not sufficient. The figureaxes concerning overlap andadd/save need to belabeled. Thiswould permit the students to actually selfexecute and fully understand eachmethod.Some imageof the Fourier transform compared to DFT would provide a better comprehension of its origins. The example in the Tom-Cookalgorithm is clear, and breaking it down in stages is a goodidea. Part 2 isdevoted exclusively to the study of fastFourier transform, but also examinesimproved techniques of the discrete Fourier technique (DFT). Most of these techniques are characterized by combination proce- dures for constructing long-length from short-length DFTs. Part 3 beginswith an examination of number theory and with the properties of numbers. The Raders theorem (in the tool section) is exam- ined. This theorem shows that in certain circumstances the DFT and convo- lution are veryclosely related. The development section begins by examin- ing a simple application of number theorythat deals with the primefactor algorithm.The body of this section is an examination of various number- theoretictransforms. Thesehave someattraction for hardwareimplemen- tations. Part 4 looks at the polynomial congruence andrelated matters. Three topicsare examined, that includeWinograd's minimal complexity algo- rithm, minimalmultiplication algorithm, and polynomial transforms. The applications of Winograd's theorem and the Chinese remainder theorem are closely investigated. The Winograd's theorem offers a powerful means 536 J. Acoust. Soc. Am. 91 (1), January 1992 0001-4966/92/010536-03500.80 ¸ 1992 AcousticalSociety of America 536 Redistribution subject to ASA license or copyright; see http://acousticalsociety.org/content/terms. Download to IP: 132.174.255.116 On: Sat, 20 Dec 2014 06:51:01

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Page 1: Mecanique des Milieux Poreux

BOOK REVIEWS

James F. Bartram 94 Kane Avenue, Middletown, Rhode Island 02840

The opinions expressed are those of the individual reviewers and are not necessar//y endorsed by the Ed/toria/ Board of this Journa/.

Editorial Policy:/f there is a negative review, the author of the book w/i/be given a chance to respond to the review/n this section of the Journa/ and the reviewer w/i/be a//owed to respond to the author's comments. [See "Book Reviews Editor's Note, "J. Acoust. Soc. Am. 81, 1651 (May 1987).]

Mecanique des Milieux Poreux Olivier Coussy

Editions Technip, Paris, France, 1991. xxi 4- 43 7 pp. Price 495francs. ISBN: 2- 7108-0595-2.

Mechanics of porous media is a hybrid science, drawing on various disciplines: elasticity, plasticity, fluid mechanics, and thermodynamics. The theory of porous solids is fundamental to geophysics and soil mechan- ics. It is relevant to engineering applications of major economic importance, in particular to the extraction of oil.

In spite of the pivotal importance of this branch of applied mechanics, this reviewer is only aware of contributions to the periodical literature, such as the sequence of classical papers by M. A. Blot. To this reviewer's knowl- edge, Olivier Coussy's work is the first endeavor at consolidating the theory of the mechanics of porous media in a comprehensive book. The author is a member of the faculties of the two most prestigious engineering schools of France. To an American audience, his other title (Research Engineer at the Central Laboratory for Bridges and Highways) sounds surprisingly practi- cal for a researcher who is primarily a superb theoretician.

Coussy's work is eminently satisfying. It is self-contained, the system- atic development starting from fundamental concepts of mechanics of solid media and extending to all significant ramifications of the theory, viz., to situations as complex as a porous solid whose communicating interstices contain a gas and a fluid in the form of liquid or vapor. The book is purely theoretical, no practical applications being covered. It is accessible to an audience of applied physicists and graduate engineers with no previous ex- perience in this discipline but with a taste for mathematical rigor. Since the technical and scientific audience in the United States appears to become increasingly monolingual, second language requirements not withstanding, the reviewer hopes that this important book will be translated.

MIGUEL C. JUNGER

Cambridge Acoustical Associates, Inc. 80 Sherman Street

Cambridge, Massachusetts 02140

Digital Signal Processing---Efficient Convolution and Fourier Transform Techniques

D.G. Myers Prentice-Hall, New York, NE 1990.

xi 4- 355pp.

Digital signal processing (DSP) has become an important tool in a variety of applications such as sonar, radar, acoustics, biomedical engineer- ing, and many others. DSP deals with representation of signals by sequences of numbers and processing of these number sequences. The objective of such processing may be, for example, to estimate parameters of a signal or to transform signals into a form which in some sense is more desirable or more easily understood. High-speed digital computer technology has fostered the development of sophisticated signal processing algorithms for applications in many fields such as sonar, radar, and medical engineering.

This book, Digital Signal Processing--Efficient Convolution and Four- ier Transform Techniques, focuses purely on convolution aspects of digital signal processing. It is concerned purely with the mechanics of digital con- volution, and addresses various efficient methods of digital convolution, which is at the core of digital signal processing. Convolution arises when an input signal is provided to a mathematical model in order to produce an output signal. This book focuses on two approaches to convolution. One, the direct approach, focuses on the equations themselves; and the second transforms the problem into frequency domain where convolution is easier.

This book is intended mainly for senior undergraduates and beginning graduate students; in particular, students in engineering, geology, physics, mathematics, computer science, and similar disciplines seeking a knowl- edge of advanced signal processing methods. This is an unusual book, both in terms of organization of material and approaches leading to the solution of a problem.

This book has four parts. The first sets the framework for the endeavor and reviews and introduces some general mathematical results. The second concentrates on the various fast Fourier transform techniques together with some related methods. The third looks at a number of theoretic approaches to digital convolution. The fourth looks at polynomials.

The more unusual aspects of the format lie within the parts themselves. Except for Part 1, the other parts consist mainly of tools, theory, develop- ments and implementation issues. The initial emphasis is on tools--math- ematical techniques which can be employed, followed by theory--the work- ing base of knowledge created with the tools and aimed at a broad spectrum of applications. Finally, implementation issues are considered--the practi- cal concerns of engineering solutions.

Part 1 deals with problem foundations, including the application of digital convolution in the area of sonar, radar, medical engineering, con- cepts of digital convolution, the algorithms of digital convolution, exercises and problems, and mathematical foundations.

The heart of the book is digital convolution. Therefore, a few images of digital convolution [for example, Figs. 3.5 through 3.13 (Ref. 1 ) ] are help- ful in understanding digital convolution from abstract concepts. The sec- tioned convolution, as shown in Fig. 1.2, is not sufficient. The figure axes concerning overlap and add/save need to be labeled. This would permit the students to actually self execute and fully understand each method. Some image of the Fourier transform compared to DFT would provide a better comprehension of its origins. The example in the Tom-Cook algorithm is clear, and breaking it down in stages is a good idea.

Part 2 is devoted exclusively to the study of fast Fourier transform, but also examines improved techniques of the discrete Fourier technique (DFT). Most of these techniques are characterized by combination proce- dures for constructing long-length from short-length DFTs.

Part 3 begins with an examination of number theory and with the properties of numbers. The Raders theorem (in the tool section) is exam- ined. This theorem shows that in certain circumstances the DFT and convo-

lution are very closely related. The development section begins by examin- ing a simple application of number theory that deals with the prime factor algorithm. The body of this section is an examination of various number- theoretic transforms. These have some attraction for hardware implemen- tations.

Part 4 looks at the polynomial congruence and related matters. Three topics are examined, that include Winograd's minimal complexity algo- rithm, minimal multiplication algorithm, and polynomial transforms. The applications of Winograd's theorem and the Chinese remainder theorem are closely investigated. The Winograd's theorem offers a powerful means

536 J. Acoust. Soc. Am. 91 (1), January 1992 0001-4966/92/010536-03500.80 ¸ 1992 Acoustical Society of America 536

Redistribution subject to ASA license or copyright; see http://acousticalsociety.org/content/terms. Download to IP: 132.174.255.116 On: Sat, 20 Dec 2014 06:51:01