The Analytic Signal Representation of Modulated Waveforms
- 1 October 1962
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IRE
- Vol. 50 (10), 2071-2076
- https://doi.org/10.1109/jrproc.1962.288236
Abstract
This report offers a rather general and mathematically convenient formulation of analog-modulated signals which makes use of the analytic signal concept. Known types of modulation are readily identified as special cases. As a result of examining the various cases which the model embraces, a new type of modulation has been discovered-single sideband frequency modulation (SSB FM)-which can be derived from a conventional phase-modulated signal by an additional amplitude modulation, using the exponential function of the modulating signal's Hilbert transform. The resulting modulated signal will have a one-sided spectrum about the carrier frequency, will be compatible with existing FM receivers, and will cause a decrease in signal bandwidth.Keywords
This publication has 8 references indexed in Scilit:
- Compatible Single SidebandProceedings of the IRE, 1961
- The Compatibility Problem in Single-Sideband TransmissionProceedings of the IRE, 1960
- The Detection of Radar Echoes in Noise. IJournal of the Society for Industrial and Applied Mathematics, 1960
- Relative Performance of Receiving Equipment as Reported by Television ServicemenProceedings of the IRE, 1960
- Envelopes and pre-envelopes of real waveformsIEEE Transactions on Information Theory, 1958
- Complex processes for envelopes of normal noiseIEEE Transactions on Information Theory, 1957
- The Theory of Analytic Band-Limited Signals Applied to Carrier SystemsIRE Transactions on Circuit Theory, 1956
- The Solution of Unsymmetrical-Sideband Problems with the Aid of the Zero-Frequency CarrierProceedings of the IRE, 1941