consider this from a wiki page"A bandlimited signal can be fully reconstructed from its samples, provided that the sampling rate exceeds twice the maximum frequency in the bandlimited signal. This minimum sampling frequency is called the Nyquist rate. This result, usually attributed to Nyquist and Shannon, is known as the Nyquist-Shannon sampling theorem.
An example of a simple deterministic bandlimited signal is a sinusoid of the form . If this signal is sampled at a rate so that we have the samples , for all integers , we can recover completely from these samples. Similarly, sums of sinusoids with different frequencies and phases are also bandlimited to the highest of their frequencies."
The example may imply that the "bandlimited signal" to satisfy the theory is at it's most a complex sum of various sinusoids at different frequencies phases, amplitudes.
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