Ideal sequence design in time-frequency space: applications to radar, sonar, and communication systems

This book develops theory and algorithms leading to systematic waveform design in time-frequency space. The key tool employed in the work is the Zak transform, which provides a two-dimensional image for sequences, the Fourier transform, convolution, and correlation, and allows for the design of sequences directly in Zak space. Topics and features include a rigorous mathematical development of the theory, illustrated by many examples; numerous tables, which compare signal sets satisfying good correlation properties attainable by standard communication theory methods versus Zak space methods; applications in pulse radars and sonars, multibeam radar and sonar imaging systems, remote dielectric material identification, and code division multiple-access communication systems; and a variety of mathematical and application-oriented open problems. Applications to radar, sonar, and communication systems. A rigorous mathematical development is illustrated with many examples. Numerous tables compare signal sets satisfying good correlation properties attainable by standard communicationtheory methods versus. Zak space methods. A variety of mathematical and application-oriented open problems are discussed INDICE: Preface. Introduction. Permutations and Permutation Matrices. Finite Fourier Transform. Convolution and Correlation. Discrete Chirps. Zak Transform. Zak Space Correlation Formula. Zak Space Representation of Chirps. Permutations. Permutation Sequences. Modulation. Sequence Sets. Echo Analysis. Sequence Shaping. Problems. References. Index.

• ISBN: 978-0-8176-4737-7
• Editorial: Birkhaüser
• Encuadernacion: Cartoné
• Páginas: 210
• Fecha Publicación: 01/05/2008
• Nº Volúmenes: 1
• Idioma: Inglés