Time-frequency transforms for radar imaging and signal analysis. With a foreword by William J. Miceli (Q2781421)

Time-frequency analysis and filter bank techniques are at the basis of signal theory [\textit{A. N. Akansu} and \textit{R. A. Haddad}, Multiresolution signal decomposition: Transforms, subbands, and wavelets (Academic Press, Boston) (1992; Zbl 0947.94001); \textit{P. P. Vaidyanathan}, Multirate systems and filter banks (Prentice Hall, Englewood Cliffs, New Jersey) (1993; Zbl 0784.93096); \textit{M. Vetterli} and \textit{J. Kovačević}, Wavelets and subband coding (Prentice Hall, Englewood Cliffs, New Jersey) (1995; Zbl 0885.94002); \textit{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 [\textit{C. E. Cook} and \textit{M. Bernfeld}, Radar signals: An introduction to theory and application (Academic Press, New York) (1967); \textit{C. A. Wiley}, Synthetic aperture radars, IEEE Trans. Aerosp. Electron. Syst., AES-21, 440-443 (1985)] and the modality of radar [\textit{D. K. Barton}, Modern radar system analysis (Artech House, Boston) (1988); \textit{J. P. Fitch}, Synthetic aperture radar (Springer-Verlag, New York) (1988); \textit{N. Levanon}, Radar principles (J. Wiley \& Sons, New York) (1988); \textit{J. Detlefsen}, Radartechnik (Springer-Verlag, Berlin) (1989); \textit{J. C. Curlander} and \textit{R. N. McDonough}, Synthetic aperture radar: Systems and signal processing (J. Wiley \& Sons, New York) (1991; Zbl 0997.94518); \textit{B. Edde}, Radar: Principles, technology, applications (Prentice-Hall, New York) (1993); \textit{D. R. Wehner}, High resolution radar, second edition (Artech House, Boston) (1995); \textit{W. G. Carrara}, \textit{R. S. Goodman} and \textit{R. M. Majewski}, Spotlight synthetic aperture radar: Signal processing algorithms (Artech House, Boston) (1995); \textit{A. W. Rihaczek}, Principles of high-resolution radar (Artech House, London) (1996; Zbl 0874.94003); \textit{H. R. Raemer}, Radar systems principles (CRC Perss, Boca Raton) (1997); \textit{F. M. Henderson} and \textit{A. J. Lewis}, eds., Principles and applications of imaging radar (J. Wiley \& Sons, New York) (1998); \textit{B. R. Mahafza}, Introduction to radar analysis (CRC Press, Boca Raton) (1998); \textit{P. Z. Peebles}, Radar principles (J. Wiley \& Sons, New York) (1998); \textit{C. Oliver} and \textit{S. Quegan}, Understanding synthetic aperture radar images (Artech House, Boston) (1998); \textit{B. Borden}, Radar imaging of airborne targets: A primer for applied mathematicians and physicists (IOP Institute of Physics Publishing, Bristol) (1999; Zbl 0987.00005); \textit{M. Soumekh}, Synthetic aperture radar (J. Wiley \& Sons, New York) (1999; Zbl 0974.94003); \textit{G. Franceschetti} and \textit{R. Lanari}, Synthetic aperture radar processing (CRC Press, Boca Raton) (1999); \textit{R. Nitzberg}, Radar signal processing and adaptive systems. Second edition (Artech House, London) (1999; Zbl 0951.94002); \textit{B. R. Mahafza}, Radar systems analysis and design using MATLAB (Chapman \& Hall/CRC, Boca Raton) (2000); \textit{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 [\textit{B. Stephenson}, Kepler's physical astronomy (Princeton University Press, Princeton, New Jersey) (1994; Zbl 0802.01013); \textit{W. Schempp}, Zu Keplers Conchoid-Konstruktion, Result. Math. 32, 352-390 (1997; Zbl 0889.01007); \textit{E. Binz} and \textit{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.NEWLINENEWLINENEWLINEThe book under review presents a collection of formulae relevant for joint time-frequency analysis and matched filtering [\textit{L. R. Rabiner} and \textit{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 [\textit{D. E. Dudgeon} and \textit{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 [\textit{W. E. Vivian}, \textit{L. J. Cutrona} and \textit{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); \textit{L. J. Cutrona}, \textit{E. N. Leith}, \textit{C. J. Palermo} and \textit{L. J. Porcello}, Optical data processing and filtering systems, IEEE Trans. Inf. Theory, IT-6, 386-400 (1960); \textit{E. N. Leith}, Synthetic aperture radar, in: Optical data processing, D. Casascent, ed., Topics in Applied Physics 23, 89-117 (Springer-Verlag, Berlin) (1978); \textit{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 [\textit{S. Haykin}, ed., Array signal processing (Prentice Hall, Englewood Cliffs, New Jersey) (1985; Zbl 0644.94001); \textit{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 [\textit{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 [\textit{C. P. Williams} and \textit{S. H. Clearwater}, Explorations in quantum computing (TELOS, Springer-Verlag, New York) (1997; Zbl 0906.68069); \textit{M. Brooks}, ed., Quantum computing and communications (Springer-Verlag, London) (1999; Zbl 0927.68034); \textit{M. A. Nielsen} and \textit{I. L. Chuang}, Quantum computation and quantum information (Cambridge University Press, Cambridge) (2000; Zbl 1049.81015); \textit{D. Bouwmeester}, \textit{A. Ekert} and \textit{A. Zeilinger}, eds., The physics of quantum information. Quantum cryptography, quantum teleportation, quantum computation (Springer-Verlag, Berlin) (2000; Zbl 1008.81504); and \textit{S. J. Lomonaco}, jun., Quantum computation, Proc. Sympos. Appl. Math. 58 (Am. Math. Soc., Providence, Rhode Island) (2002; Zbl 1021.81001)].