(New page: '''''Conjugation Property''' The conjugation property states that if the <math>\mathcal{F}</math> of x(t) will be equal to X(jw) then, the <math>\mathcal{F}</math> of x*(t) will be e...) |
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then, | then, | ||
the <math>\mathcal{F}</math> of x*(t) will be equal to X*(-jw) | the <math>\mathcal{F}</math> of x*(t) will be equal to X*(-jw) | ||
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| + | This property follows from the evaluation of the complex conjugate of | ||
| + | <math>X^* (jw)=[\int\limits_{-\infty}^{\infty}x(t)e^{(-\jmath wt)}dt]^*</math> | ||
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| + | <math>X^* (jw)=\int\limits_{-\infty}^{\infty}x(t)e^{(-\jmath wt)}dt | ||
Revision as of 04:18, 9 July 2009
Conjugation Property
The conjugation property states that if the $ \mathcal{F} $ of x(t) will be equal to X(jw) then, the $ \mathcal{F} $ of x*(t) will be equal to X*(-jw) This property follows from the evaluation of the complex conjugate of $ X^* (jw)=[\int\limits_{-\infty}^{\infty}x(t)e^{(-\jmath wt)}dt]^* $ $ X^* (jw)=\int\limits_{-\infty}^{\infty}x(t)e^{(-\jmath wt)}dt $
