What is recorded here?
Shannon's 1949 paper presents sampling and reconstruction for ideal band-limited signals and represents signal samples as coordinates in a geometric space. The representation links signal energy and noise to distances and regions in that space. A continuous waveform seems to require infinitely many measurements. Under ideal bandwidth restrictions, sampled values can specify the waveform, and interpolation gives a way to recover it. Thinking of those values as coordinates also turns differences between waveforms into geometric distances, making communication problems easier to formulate.
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Scientific scope
This record covers sampled signal representation and reconstruction. It does not count the 1948 entropy/capacity theory again or claim sole priority for sampling; Shannon cites earlier mathematical and communication work. Ideal bandwidth and reconstruction assumptions do not describe arbitrary finite recordings.
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People and systems
Claude E. Shannon
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English catalogue narrative
Shannon: reconstructing band-limited signals from samples
Shannon's 1949 paper presents sampling and reconstruction for ideal band-limited signals and represents signal samples as coordinates in a geometric space. The representation links signal energy and noise to distances and regions in that space.
A continuous waveform seems to require infinitely many measurements. Under ideal bandwidth restrictions, sampled values can specify the waveform, and interpolation gives a way to recover it. Thinking of those values as coordinates also turns differences between waveforms into geometric distances, making communication problems easier to formulate.
Scientific scope
This record covers sampled signal representation and reconstruction. It does not count the 1948 entropy/capacity theory again or claim sole priority for sampling; Shannon cites earlier mathematical and communication work. Ideal bandwidth and reconstruction assumptions do not describe arbitrary finite recordings.
People and systems
Claude E. Shannon