Re: Is it possible to reproduce a small bandwidth (~10 hz) audio signal using a sine wave of variable frequency and amplitude?

On Nov 30, 10:09 am, "maxplanck" <erik.bo...@xxxxxxxxxxx> wrote:
maxplanck wrote:
Is there a way to represent a signal using an amplitude and a
frequency
component, instead of an amplitude and a phase component?

Bad assumption. A sinusoid is characterized by frequency, phase, and
amplitude, or another set of three parameters. Two are not enough.
....
Sorry, what I meant was:

Is there a way to represent a signal using a variable amplitude component,
a variable frequency component, and a constant phase component?

If the phase is constant, you have DC, not a variable
sinusoid (except for degenerate mathematical models).

Frequency and delta-phase-versus-time are not independent
for frequency modulated sinusoids. Frequency is the rate
of change of the unwrapped phase. But to specify your
waveform uniquely, an absolute phase reference for at
least one point will be needed .




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