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So summarized here is what the commutative operation is in discrete time, or in continuous time.
If you think about convolving these together, it's a straightforward mathematical operation since the impulse in discrete time is very nicely defined.
Without loss of generality, such an operation can be represented in discrete time domain as depicted in Figure2.
Does it in discrete time?
And exactly the same applies in discrete time.
And it had a fairly straightforward definition in discrete time.
In discrete time, when we talk about a time shift, the amount of time shift obviously, because of the nature of discrete time signals must be an integer.
Then, we derive a convolution theorem for discrete time signal in discrete time FRFT (DTFRFT) domain.
And again, we can talk about that either in continuous time or in discrete time.
The analog and continuous time signals are represented in discrete time.
And so the important difference between the continuous-time and discrete-time case kind of arose, in part, out of the fact that discrete time is discrete time, continuous time is continuous time, and the fact that complex exponentials are periodic in discrete time.
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