Real valued Signal & Complex valued Signal

Real valued signal is a signal which assumes a real value for its amplitude for all instants of time. Examples are, cosωot, rect(t), u(t), r(t), δ(t), eat (a is a real value).

Complex valued signal is a signal which assumes a complex value for its amplitude atleast at one instant of time. Example is eot

Since eo= cosωot + jsinωot

1. If f(t) is a real signal then it satisfies the following relationship

f(t) = f*(t)

( f*(t) is the conjugate of f(t) )

Note: If f(t) = a + jb

then

f*(t) = (a + jb)*

f*(t) = a − jb

2. If f(t) is a purely imaginary signal then it satisfies the following relationship

f(t) = − f*(t)

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