Optimal multiplexing of sampled signals on noisy channels
- 1 May 1971
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 17 (3) , 257-262
- https://doi.org/10.1109/tit.1971.1054637
Abstract
This paper deals with the joint optimization of transmitting and receiving filters in multiplex transmission of pulse-amplitude-modulated (PAM) signals. A mean-square-error criterion is used. The signal processes are assumed to be mutually uncorrelated and with equal power spectral densities. Transfer matrix functions for the transmitting and for the receiving filters are used as an expedient tool. It is shown that optimal multiplexing systems can be achieved with a bandwidth ofM/T. The transfer matrix functions of optimal transmitters (and corresponding optimal receivers) are defined up to premultiplication by an arbitrary unitary matrix function. This provides for freedom of choice between various multiplexing techniques like frequency-domain multiplexing, time-domain multiplexing, or combinations thereof.Keywords
This publication has 2 references indexed in Scilit:
- A Generalized Nyquist Criterion and an Optimum Linear Receiver for a Pulse Modulation SystemBell System Technical Journal, 1967
- Optimum pulse amplitude modulation--I: Transmitter-receiver design and bounds from information theoryIEEE Transactions on Information Theory, 1967