Fourier Series : Fourier Series Analysis of a square wave
Presented by: Roberto Savo
Time Domain : Time Domain Amplitude Time
Time Domain : Time Domain Amplitude Time Time Sine wave at frequency F=1MHz
Time Domain : Time Domain Amplitude Time Time 5V Sine wave at frequency F=1MHz
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The Fourier Series : The Fourier Series Consider a periodic signal v(t) having a fundamental period To
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Neither Odd nor Even Functions : Neither Odd nor Even Functions x axis y axis F(x) Even Test: F(x) ≠ F(-x)
Odd test: F(x) ≠ -F(-x)
Therefore F(x) is neither odd
nor even
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Predicting the Fourier Series : Predicting the Fourier Series
Predicting the Fourier Series : Predicting the Fourier Series If v(t) is EVEN, then only COSINE terms will be in the final expression
Predicting the Fourier Series : Predicting the Fourier Series If v(t) is ODD, then only SINE terms will be in the final expression
Predicting the Fourier Series : Predicting the Fourier Series If v(t) is neither ODD nor EVEN, then both COSINE and SINE
terms will be in the final expression
function : function
function : function
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Calculating Coefficients : Calculating Coefficients
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Final Expression : Final Expression
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Final Expression : Final Expression
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Time Domain: Final Result : Time Domain: Final Result