# difficulty in understanding amplitude, frequency and period

I have difficulty in understanding of some fundamental terms as amplitude. Can be there more than one amplitude for a signal? The following expression is combination of 3 sinusoidal signal, so are there 3 different amplitudes, periods or frequencies?

$$h(x) = \sin\frac{2\pi x}{23} + \sin\frac{2\pi x}{28} + \sin\frac{2\pi x}{33}$$

• SNR, look you have two answers here! why don't you take your time and read them and feedback according to ? Save the answers, save the world...! – Fat32 Nov 12 '18 at 22:44

Are you possibly confused by what's known as Fourier analysis of signals, which decompose a given signal into multiple frequencies and amplitudes. What it essentially does is to find the individual components in the right hand side, given the signal in the left hand side. So it does not mean that the signal has multiple amplitudes or fundamental periods per given $$x$$.
• The instantaneous amplitude is the value of the localized peak amplitude at instant $$t$$. This is depending on the time $$t$$ you’re looking at. Here it’s simply the $$y$$-value of your time signal when at instant $$t$$
• $\frac{33}{11} = 3\in \mathbb{Z}$! – Tendero Oct 30 '18 at 20:40