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By Jain J., Narayan A., Fujita M.

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M a i n lobe: The angular region between two radiation nulls which contains the angle with the strongest radiation intensity Urnax. Side lobes: The angular regions between two radiation nulls which do not contain the angle with the strongest radiation power. 12 FUNDAMENTALS OF ARRAY SIGNAL PROCESSING Half-power beamwidth (HPB W): The angle spanned by the intensity region for which Umax/2 5 U 5 Urn,,. The HPBW is associated with the ability of an antenna to direct a beam. The HPBW is often referred to as the 3 dB beamwidth for obvious reasons.

14) by assuming that the EM-wave is harmonic, which yields - w = Re{S} = Re where S is referred to as the Pointing vector. 15) FUNDAMENTALS OF ARRAY SIGNAL PROCESSING 8 Linear Polarisation Linear (Tilted) Polarisation Cirwlar Polarisation Elliptical Polarisation I I I Fig. 3 Linear, linear tilted, circular and elliptical polarisation states. 17) where e,, ee and ed are the unit vectors of the perpendicular spherical coordinates. 19) ANTENNA PARAMETERS & TERMlNOLOGY 9 which yields for the Hertzian dipole P = -T (?

In 1976, Swarner, Ksienski Compton and Huff [6] applied the pilot adaptive beamformer to wireless communication systems, where prior to this radar was the primary application. This new application was key to an overwhelming amount of subsequent research, a cross-section of which is reported in this book. 3 CONCEPT OF SPATIAL SIGNAL PROCESSING Having two ears gives us the ability to sense the direction of audio signals and to adjust our hearing to ‘tune’ into certain signals and ignore others. Moreover, human hearing covers a frequency range of approximately 5 Hz to 20 kHz.

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