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The question almost certainly intends "fast" instead of "first". The difference between a Fourier Transform and a Fast Fourier Transform is only the amount of effort required to generate the result. Both have the same the result. The original Fourier Transform requires an amount of effort which is proportional to the square of the amount of data being used. So if the amount of data doubles, the amount of effort to calculate the result quadruples. In contrast, the subsequently discovered Fast Fourier Transform requires an amount of effort proportional to the product of the amount of data and the base-two logarithm of the amount of data. Thus, if the amount of data doubles, the amount of effort increases but by less than a quadruple. With each doubling of the data size, the amount of effort increases by a diminishing factor which slowly drops toward but never reaches two.
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How do you find the inverse Fourier transform from Fourier series coefficients?
To find the inverse Fourier transform from Fourier series coefficients, you first need to express the Fourier series coefficients in terms of the complex exponential form. Then, you can use the inverse Fourier transform formula, which involves integrating the product of the Fourier series coefficients and the complex exponential function with respect to the frequency variable. This process allows you to reconstruct the original time-domain signal from its frequency-domain representation.
How do you find discrete fourier transform of non causal signal?
first convert non-causal into causal and then find DFT for that then applt shifing property.
What is the difference between two numbers?
The difference between two numbers is the second number subtracted from the first number.For example:The difference between 15 and 6 is 915-6=9
How do you find out the formula for a Quadratic Sequence?
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.
What is the difference between 37 and 84?
The difference between 37 and 84 is 47. This is calculated by subtracting 37 from 84, which results in 47. In mathematical terms, the formula for finding the difference between two numbers is subtracting the smaller number from the larger number.
