Further Results on Nyquist's Problem in Pulse Transmission

Abstract

The Nyquist criterion specifies pulse shapes for a synchronous pulse amplitude modulation (PAM) signal which produce no intersymbol interference when the signal is sampled at the proper instants. For bandwidths in excess of one half the pulse repetition rate, the criterion is not uniquely satisfied. This paper considers the selection of pulse shapes for a single-sideband carrier signal which, in addition to satisfying the Nyquist criterion, will introduce minimal interference for small sampling time and carrier phase error at the receiver.