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Filter Design With Time Domain Mask Constraints: Theory and Applications (Paperback, Softcover reprint of hardcover 1st ed. 2001)
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Filter Design With Time Domain Mask Constraints: Theory and Applications (Paperback, Softcover reprint of hardcover 1st ed. 2001)
Series: Applied Optimization, 56
Expected to ship within 10 - 15 working days
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Optimum envelope-constrained filter design is concerned with
time-domain synthesis of a filter such that its response to a
specific input signal stays within prescribed upper and lower
bounds, while minimizing the impact of input noise on the filter
output or the impact of the shaped signal on other systems
depending on the application. In many practical applications, such
as in TV channel equalization, digital transmission, and pulse
compression applied to radar, sonar and detection, the soft least
square approach, which attempts to match the output waveform with a
specific desired pulse, is not the most suitable one. Instead, it
becomes necessary to ensure that the response stays within the hard
envelope constraints defined by a set of continuous inequality
constraints. The main advantage of using the hard
envelope-constrained filter formulation is that it admits a whole
set of allowable outputs. From this set one can then choose the one
which results in the minimization of a cost function appropriate to
the application at hand. The signal shaping problems so formulated
are semi-infinite optimization problems. This monograph presents in
a unified manner results that have been generated over the past
several years and are scattered in the research literature. The
material covered in the monograph includes problem formulation,
numerical optimization algorithms, filter robustness issues and
practical examples of the application of envelope constrained
filter design. Audience: Postgraduate students, researchers in
optimization and telecommunications engineering, and applied
mathematicians.
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