Fourier and Laplace transformations

Thread starter karthik3k
Start date Mar 13, 2004
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Fourier Laplace Transformations

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The Fourier Transform (FT) is a two-sided integral that ranges from negative to positive infinity and employs a purely imaginary transform variable. In contrast, the Laplace Transform (LT) is typically a single-sided integral, extending from zero to positive infinity, and utilizes a complex variable that includes both real and imaginary components. The FT is primarily used for analyzing periodic signals, while the LT is more suited for non-periodic signals and system analysis. Understanding these differences is crucial for selecting the appropriate transformation for specific applications in engineering and mathematics. Mastery of both transforms enhances problem-solving capabilities in various fields.

Mar 13, 2004

karthik3k

Im sorry. I am really new to this. Whats the Difference between FT and LT ?

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Mar 13, 2004

uart

Science Advisor

The FT is two sided (integral from -infinity to +infinity) and uses a purely imaginary transform variable.

The LT is usually single sided (integral from zero to +infinity) and uses a complex variable that is not restricted to pure imaginary.

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