Matrix computations (3rd ed.)
A dual parametrization approach to Nyquist filter design
Signal Processing
IEEE Transactions on Signal Processing
Efficient design of waveforms for robust pulse amplitude modulation
IEEE Transactions on Signal Processing
Factorable FIR Nyquist filters with least stopband energy undersidelobe level constraints
IEEE Transactions on Signal Processing
Nyquist filters with robust performance against timing jitter
IEEE Transactions on Signal Processing
A Square-Root Nyquist (M) Filter Design for Digital Communication Systems
IEEE Transactions on Signal Processing
A weighted least squares algorithm for quasi-equiripple FIR and IIRdigital filter design
IEEE Transactions on Signal Processing
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In this paper, a novel method is introduced to design Nyquist filters with prescribed inter symbol interference (ISI) energy. The computation is based on the iterative weighted least-squares optimization with a quadratic constraint. The weighted stop band and the tail energies of the Nyquist filter are minimized iteratively while the quadratic constraint prescribing the ISI energy is enforced. The Lagrange multiplier method and generalized singular value decomposition are utilized to solve the problem. By changing the weighting coefficient, one can make a trade-off between the stop band energy and the tail energy (robustness to timing jitter) while the ISI energy is predetermined. The designed Nyquist filter can be factorized to a minimum phase and a maximum phase FIR pulse shaping square-root Nyquist filters for the transmitter and receiver with a simple modification.