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Time-frequency transforms for radar imaging and signal analysis. With a foreword by William J. Miceli. (English) Zbl 1001.94003

Boston, MA: Artech House. xviii, 214 p. (2002).
Time-frequency analysis and filter bank techniques are at the basis of signal theory [A. N. Akansu and R. A. Haddad, Multiresolution signal decomposition: Transforms, subbands, and wavelets (Academic Press, Boston) (1992; Zbl 0947.94001); P. P. Vaidyanathan, Multirate systems and filter banks (Prentice Hall, Englewood Cliffs, New Jersey) (1993; Zbl 0784.93096); M. Vetterli and J. Kovačević, Wavelets and subband coding (Prentice Hall, Englewood Cliffs, New Jersey) (1995; Zbl 0885.94002); A. Mertins, Signal analysis: Wavelets, filter banks, time-frequency transforms and applications (John Wiley & Sons, Chichester) (1999; Zbl 0934.94001)]. Therefore, they present the signal theoretical of remote sensing within the microwave regime [C. E. Cook and M. Bernfeld, Radar signals: An introduction to theory and application (Academic Press, New York) (1967); C. A. Wiley, Synthetic aperture radars, IEEE Trans. Aerosp. Electron. Syst., AES-21, 440-443 (1985)] and the modality of radar [D. K. Barton, Modern radar system analysis (Artech House, Boston) (1988); J. P. Fitch, Synthetic aperture radar (Springer-Verlag, New York) (1988); N. Levanon, Radar principles (J. Wiley & Sons, New York) (1988); J. Detlefsen, Radartechnik (Springer-Verlag, Berlin) (1989); J. C. Curlander and R. N. McDonough, Synthetic aperture radar: Systems and signal processing (J. Wiley & Sons, New York) (1991; Zbl 0997.94518); B. Edde, Radar: Principles, technology, applications (Prentice-Hall, New York) (1993); D. R. Wehner, High resolution radar, second edition (Artech House, Boston) (1995); W. G. Carrara, R. S. Goodman and R. M. Majewski, Spotlight synthetic aperture radar: Signal processing algorithms (Artech House, Boston) (1995); A. W. Rihaczek, Principles of high-resolution radar (Artech House, London) (1996; Zbl 0874.94003); H. R. Raemer, Radar systems principles (CRC Perss, Boca Raton) (1997); F. M. Henderson and A. J. Lewis, eds., Principles and applications of imaging radar (J. Wiley & Sons, New York) (1998); B. R. Mahafza, Introduction to radar analysis (CRC Press, Boca Raton) (1998); P. Z. Peebles, Radar principles (J. Wiley & Sons, New York) (1998); C. Oliver and S. Quegan, Understanding synthetic aperture radar images (Artech House, Boston) (1998); B. Borden, Radar imaging of airborne targets: A primer for applied mathematicians and physicists (IOP Institute of Physics Publishing, Bristol) (1999; Zbl 0987.00005); M. Soumekh, Synthetic aperture radar (J. Wiley & Sons, New York) (1999; Zbl 0974.94003); G. Franceschetti and R. Lanari, Synthetic aperture radar processing (CRC Press, Boca Raton) (1999); R. Nitzberg, Radar signal processing and adaptive systems. Second edition (Artech House, London) (1999; Zbl 0951.94002); B. R. Mahafza, Radar systems analysis and design using MATLAB (Chapman & Hall/CRC, Boca Raton) (2000); R. J. Sullivan, Microwave radar: Imaging and advanced concepts (Artech House, London) (2000; Zbl 0953.78007)]. Historically, time-frequency analysis and filter bank techniques can be traced back to Johannes Kepler’s phoronomy [B. Stephenson, Kepler’s physical astronomy (Princeton University Press, Princeton, New Jersey) (1994; Zbl 0802.01013); W. Schempp, Zu Keplers Conchoid-Konstruktion, Result. Math. 32, 352-390 (1997; Zbl 0889.01007); E. Binz and W. J. Schempp, Keplers Phoronomy: Symplektische Spinoren, Result. Math. 41, 229-257 (2002)]. Kepler hitherto is regarded as a diligent condenser of data, or as a numerically inclined mystic. A misguided and sometimes unwitting interpretation of his joint time-frequency analysis as a precursor of Newton’s physical astronomy has impeded any fair analysis of it.
The book under review presents a collection of formulae relevant for joint time-frequency analysis and matched filtering [L. R. Rabiner and B. Gold, Theory and application of digital signal processing (Prentice Hall, Englewood Cliffs, New Jersey) (1975)] without going deeper into these subjects and without giving a rigorous mathematical treatment of signal processing [D. E. Dudgeon and R. M. Mersereau, Multidimensional digital signal processing (Prentice-Hall, Englewood Cliffs, New Jersey) (1984; Zbl 0643.94001)]. In particular, the text does not ponder the holographic aspects of radar imaging [W. E. Vivian, L. J. Cutrona and E. N. Leith, A Doppler technique for obtaining very fine angular resolution from a sidelooking airborne radar, Tech. Rep. 2144-5T, University of Michigan, Ann Arbor, Michigan (1954); L. J. Cutrona, E. N. Leith, C. J. Palermo and L. J. Porcello, Optical data processing and filtering systems, IEEE Trans. Inf. Theory, IT-6, 386-400 (1960); E. N. Leith, Synthetic aperture radar, in: Optical data processing, D. Casascent, ed., Topics in Applied Physics 23, 89-117 (Springer-Verlag, Berlin) (1978); E. N. Leith, Optical processing of synthetic aperture rardar data, in: Photonic aspects of modern radar, H. Zmuda, E. N. Toughlian, eds., 381-401 (Artech House, Boston) (1994)]. Therefore the text does not pave the way to array signal processing which deals with the processing of signals carried by propagating wave phenomena [S. Haykin, ed., Array signal processing (Prentice Hall, Englewood Cliffs, New Jersey) (1985; Zbl 0644.94001); M. Soumekh, Fourier array imaging (PTR Prentice Hall, Englewood Cliffs, New Jersey) (1994; Zbl 0828.94003)], the more sophisticated field of clinical magnetic resonance tomography of non-invasive diagnostic medicine [W. Schempp, Proc. Am. Math. Soc. 92, 103-110 (1984; Zbl 0525.43007); Harmonic analysis on the Heisenberg nilpotent Lie group, with applications to signal theory, Pitman Research Notes in Mathematics Series 147 (1986; Zbl 0632.43001) and Magnetic resonance imaging: Mathematical foundations and applications (Wiley-Liss, New York) (1998; Zbl 0930.92015)], and the highly innovative area of quantum information processing [C. P. Williams and S. H. Clearwater, Explorations in quantum computing (TELOS, Springer-Verlag, New York) (1997; Zbl 0906.68069); M. Brooks, ed., Quantum computing and communications (Springer-Verlag, London) (1999; Zbl 0927.68034); M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information (Cambridge University Press, Cambridge) (2000; Zbl 1049.81015); D. Bouwmeester, A. Ekert and A. Zeilinger, eds., The physics of quantum information. Quantum cryptography, quantum teleportation, quantum computation (Springer-Verlag, Berlin) (2000; Zbl 1008.81504); and S. J. Lomonaco, jun., Quantum computation, Proc. Sympos. Appl. Math. 58 (Am. Math. Soc., Providence, Rhode Island) (2002; Zbl 1021.81001)].

MSC:

94A12 Signal theory (characterization, reconstruction, filtering, etc.)
94-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory

Software:

Matlab; TELOS
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