Abstract
In this paper, we derive pulses that yield Nyquist or near Nyquist properties when convolved with the initial terms of the series model of a slow fading dispersive channel. For the f-power series these are the so called powers of Nyquist pulses. For a Karhunen-Loeve series, model pulses are found that maximize the ratio of the mean peak-sample energy to mean residual intersymbol interference energy for a given bandwidth expansion factor. Under certain conditions, the approach significantly lessens the need for, or complexity of, equalization. Other benefits attributable to the use of the derived pulses, including those related to timing recovery, are discussed.
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