Analog signals which optimally minimize interpulse interference (Corresp.)

THOMAS R. BENEDICT, SENIOR MEMBER, IEEE Pulsed analog communication where periodic identical known pulse shapes carry amplitude information is considered. The Cramér Rao bound in amplitude estimation is derived for the case of additive Gaussian noise and arbitrary interpulse interference. It is observed that maximum-likelihood processing can achieve this bound. Then the class of signals that minimizes this bound is described. The optimum pulses appear to outperform Gaussian pulses by about 3 dB at interesting values of pulse spacing; and by comparison to
\sin x/x
pulses, they appear to have a potential for reducing interchannel interference by on the order of 3 dB while keeping interpulse interference constant;