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 novel square-root Nyquist filter design with prescribed ISI energy
Signal Processing
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In this paper, a novel method to design linear phase square-root Nyquist filters is introduced. The design procedure is posed as a quadratic programming problem with linear and quadratic constraints that can be solved using convex optimization packages. The flatness of the filter's pass-band, i.e., the pass-band ripple energy, is formulated as a quadratic function of the impulse response of the filter. By minimizing this quadratic function through a proxy function called the pseudo-ISI, one can optimize the ISI energy of the filter while the frequency response of the filter satisfies a spectral mask. It is shown that the optimization of the pseudo-ISI results in an optimized ISI energy if the spectral mask is tight enough. The Qualcomm's Code Division Multiple Access (CDMA) IS-95 and The European Telecommunications Standards Institute'a Universal Mobile Communications Systems (UMTS) standards are used to define the spectral masks. The designed filters show superior inter-symbol interference and stop-band energies compared to the previously proposed designs for CDMA and UMTS standards.