October 2003
Intermediate to advanced
304 pages
7h 46m
English
Content preview from Practical Digital Signal Processing
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3
Time-domain representation of discrete-time signals and systems
3.1 Notation
A discrete-time signal x consists of a sequence of numbers denoted by x(n), or x(nT), where n is an integer index. The latter notation is usually reserved for sampled data sequences with a uniform sampling period of T seconds. The sampling process is discussed in more detail in a later chapter. If the sampling period is known or is not relevant to the interpretation of results, the subscript notation will be used.
3.2 Typical discrete-time signals
Several discrete-time signals are considered basic and important. More complex signals can be constructed from these elementary ones.
3.2.1 Unit impulse
The unit impulse function, usually denoted as δ (n), is shown in ...