ISI-free pulses with reduced sensitivity to timing errors

ISI-Free Power Roll-Off Pulse

“…A linear combination (LC) of two ISI-free pulses yields a pulse that satisfies Nyquist's pulse-shaping criterion [4].…”

“…Beaulieu, Tan, and Damen proposed the "better than" raised cosine (BTRC) pulse, which has a smaller maximum sidelobe than the RC pulse at the same excess bandwidth and results in a smaller probability of error in the presence of a detection timing error [3]. To further reduce sidelobe level, Sandeep, Chandan, and Chaturvedi proposed a linear combination of the RC and BTRC pulses [4]. This pulse has one design parameter.…”

A New Linearly Combined Nyquist Pulses for PAPR Reduction in IFDMA

“…Therefore, it is unlikely that the PAPR has a minimum value for , as will be proven by simulations later. Moreover, in [15], it was also proven that it is unlikely to have minimum timing errors at the same condition.…”

“…But in order to comply with Nyquist first criterion (in the time-domain) [15], B must be equal to . The constant adds an additional degree of freedom to minimize PAPR for a given .…”

An Investigation Of The Improved Nyquist Pulses Families For OFDM Use

“…The linear combination of two pulses guarantees that the resulting pulse has a bandwidth not greater than that of constituent pulse with larger bandwidth, and if the constituent pulses are ISI-free, then the resulting pulse will also be ISI-free [5].…”