Improved Nyquist Filters with a Transfer Characteristic Derived from a Staircase Characteristic Interpolated with Sine Functions

Abstract

This paper investigates a novel approach for constructing a family of ISI-free pulses produced by improved Nyquist filters with a transfer characteristic derived from an ideal staircase frequency characteristic using interpolation with sine functions. They equal or outperform some recently proposed pulses in terms of ISI performance in the presence of sampling errors. The results for error probability outperform the 4th degree polynomial pulse for a reasonable number of interpolation intervals. The proposed pulses were also investigated for OFDM use including DVB systems in order to reduce their sensitivity to frequency offset. The results presented in this paper equal those of recently found pulses in terms of intercarrier interference (ICI) power.

Keywords

• DVB
• Nyquist filter
• Improved impulse response
• Inter-Symbol-Interference
• OFDM