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amplitude of periodic signal

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sadhana bodavula

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A periodic signal is given by X(t)=3sin(4t+30)-4cos(12t-60) then what is the amplitude of second harmonic of X(t)?
 

Kalyan_Acharjya

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This is your X(t), check the result. Any Question ???
Output.png
 
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albbg

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Your signal is made by only two angular frequencies: 4 and 12 rad/sec, that is fundamental and third harmonics (4x3=12), no matter the two phases (30 and -60 rad). No second harmonic is in it.

This is your X(t), check the result. Any Question ???
To check the harmonics content the time domain representation is useless; the frequency domain (FFT) representation have to be used.
 

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