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I am bit confused after reading Frequency-Domain Sampling and Reconstruction of Discrete-Time Signals section from Proakis where, $$x(n)=\begin{cases} x_p(n),\;\;\;\;0\leq n \leq N-1\\ \\ 0,\;\;\;\;\;\;\;\;\;\;\; \mathrm{elsewhere}\\ \end{cases}$$ It is clear $x(n)$ is discrete time sequence but why $n$ is defined as $0 \leq n \leq N-1$ instead of $n=0,1,\dots,N-1$

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  • $\begingroup$ Aren't those equivalents in this case? $N$ is an integer value. $\endgroup$ – jojek Feb 10 '20 at 21:51
  • $\begingroup$ Yes they are. Since $n$ is integer the sequence $x(n)$ run from $0$ to $N-1$ $\endgroup$ – jomegaA Feb 10 '20 at 21:52
  • $\begingroup$ $N$ can be integer, but $n$ must be integer. $\endgroup$ – jomegaA Feb 10 '20 at 21:59
  • $\begingroup$ It's assumed (if not explicitly stated) that both $N$ and $n$ are integers. $\endgroup$ – MBaz Feb 10 '20 at 22:32

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