Sinusoids, Noise, & Their Spectrum by Mike Martin

Consider a sum of three sinusoids and another term that represents noise (actually random numbers drawn from a restricted interval):

The user inputs values for the parameters A_{1}, A_{2}, A_{3}, A_{4}, ω_{1}, ω_{2}, ω_{3}, and N. Note that N is the number of sample points of the sinusoidal signal. Also the noise (or random variable) is drawn from uniform distribution within the interval [-1/2, 1/2]; the variable V represents this noise. It may be of interest to examine the spectrum of the sinusoidal signal when there is no noise -- set A_{4} = 0. The first graph is that of the signal and the second graph is that of the Fouler spectrum.

Enter in the values of the parameters, then press the "Visualize" button.

A_{1} =

ω_{1} =

A_{2} =

ω_{2} =

A_{3} =

ω_{3} =

A_{4} =

N =