MIMO transceiver design via majorization theory
Foundations and Trends in Communications and Information Theory
A GA-based UWB pulse waveform design method
Digital Signal Processing
Design of low-delay nonuniform oversampled filterbanks
Signal Processing
Optimized analog filter designs with flat responses by semidefinite programming
IEEE Transactions on Signal Processing
Frequency-selective KYP lemma, IIR filter, and filter bank design
IEEE Transactions on Signal Processing
Design of arbitrary complex coefficient WLS FIR filters with group delay constraints
IEEE Transactions on Signal Processing
UWB pulse shaping by FIR filter to enhance power efficiency
ISWPC'10 Proceedings of the 5th IEEE international conference on Wireless pervasive computing
Optimal UWB Waveform Design Based on Radial Basis Function Neural Networks
Wireless Personal Communications: An International Journal
A convex optimization method to solve a filter design problem
Journal of Computational and Applied Mathematics
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The design of a finite impulse response (FIR) filter often involves a spectral "mask" that the magnitude spectrum must satisfy. The mask specifies upper and lower bounds at each frequency and, hence, yields an infinite number of constraints. In current practice, spectral masks are often approximated by discretization, but in this paper, we derive a result that allows us to precisely enforce piecewise constant and piecewise trigonometric polynomial masks in a finite and convex manner via linear matrix inequalities. While this result is theoretically satisfying in that it allows us to avoid the heuristic approximations involved in discretization techniques, it is also of practical interest because it generates competitive design algorithms (based on interior point methods) for a diverse class of FIR filtering and narrowband beamforming problems. The examples we provide include the design of standard linear and nonlinear phase FIR filters, robust "chip" waveforms for wireless communications, and narrowband beamformers for linear antenna arrays. Our main result also provides a contribution to system theory, as it is an extension of the well-known positive-real and bounded-real lemmas.