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What is the spectrum for 0,1,1,0,-1,-1?

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newelltech

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If I sample a 1 Hz sinewave with amplitude 1.54 at 6 Hz, I get 0,1,1,0,-1,-1, ...
What are the amplitudes of the 3rd, 5th, 7th and 9th harmonics?
What is the equation for the output?
Is there a free spectrum analyzer software appliction that allows manual input of data rather that using the sound card input?
 

Of course. MATLAB is the best tool for such problem, and for many others, no doubt. If u don't need so big software package, google for DFT, FFT algoritams, and u'll find solution for your problem.

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You sample 1 Hz signal with 6Hz sampling frequency. Hence maximum observable frequency is 3Hz.
It is senseless to speak about 5, 7 and higher harmonics at all.
 

It's not senseless if one is measuring sinusoidal purity which is exactly what my question is about. Of course the 5th, 7th, etc. harmonics are at a small amplitude and I need to know what they are.
 

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