Problem Statement: Show that, for a bandwidth limited signal ( x ( t ) {\displaystyle x(t)} with f m a x < 1 2 T {\displaystyle f_{max}<{1 \over {2T}}} ) ∑ k = − ∞ ∞ | x ( k T ) | 2 = c ∫ − ∞ ∞ | x ( t ) | 2 d t {\displaystyle \sum _{k=-\infty }^{\infty }\left|x(kT)\right|^{2}=c\int _{-\infty }^{\infty }\left|x(t)\right|^{2}\,dt} And find c.
