Signals

Overview


As a general rule, signals are assumed to be stationary

Signal Representation


Many signals that are dealt with in signal processing are represented digitally, that is, they have a discrete representation. When the original signal is continuous, that signal is often sampled and then the sampled signal is analyzed.

Continuous signals are represented using the standard math notation for a function
{% x(t) %}
When the signal is discrete or sampled, it is often written as
{% x[n] %}
where the function is given square braces and the number represents the {% n^{th} %} sample. (that is, {% n %} is an integer)

When the signal is a two dimension signal, it may be written as
{% x[n, m] %}

Topics


  • Sampling
  • Signals and Impulses
  • Fourier Analysis - one of the primary tools Signals and Systems, the decomposition of a signal into frequencies