Article | REF: R686 V1

Time-frequency instrumentation Part 1

Authors: Fabrice STHAL, Enrico RUBIOLA

Publication date: December 10, 2009

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1. Definitions and measurement principles

1.1 Definition of a signal

An ideal sinusoidal signal (carrier wave), ν(t) = A.sin(2πft), has a constant frequency as a function of time, f = f 0 = constant. This means that the phase of the signal increases linearly with time:

Φ(t)=2πf0t+Φ0( 1 )

The average frequency of a continuous periodic signal over a certain measurement time is defined below, and is illustrated in figure...

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Definitions and measurement principles