Improved Nyquist Pulses Produced By A Filter with Senary Piece-wise Polynomial Frequency Characteristic

Abstract

A novel family of inter-symbol interference (ISI) free pulses generated by improved Nyquist filters with a frequency characteristic composed of six parabolic pieces is proposed. We studied the performance of the new pulses in terms of the ISI error probability when the impulse response is sampled with a timing offset. To illustrate the achieved improvement, the new pulses are compared with other performing pulses that were reported in the literature. Simulation results show that comparable or enhanced ISI performance can be obtained at reasonable complexity.

Keywords

• inter-symbol interference
• Nyquist filter
• error probability
• filter design