
A continuous signal or a continuous-time signal is a varying quantity (a signal) whose domain, which is often time, is a continuum (e.g., a connected interval of the reals). That is, the function`s domain is an uncountable set. The function itself need not be continuous. To contrast, a discrete time signal has a countable domain, like the natural....
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http://en.wikipedia.org/wiki/Continuous_signal

in analogue signalling, a signal which is continuously transmitted as long as the function it indicates persists
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http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=714-10-03
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