Fourier Transform

To find fourier transform, input expression with respect to an independent variable and then tap ℱt

For example input expression 10 + 4.5cos(2T) + 3sin(4T) where T (time) is an independent variable.

Tap on ℱt , select independent variable as T used in expression. You also need to provide the fundamental time period TP that you want to use for the transform. For that, input start and end time values for T such that (end - start) = TP (Fundamental Time period)

Once TP is provided, the fundamental frequency for the transform will be f0=1/TP and the transform will report coefficients of frequencies in integral multiples of f0 (Harmonics)

The default value of start is 0 and end is 2pi for input in radians so that TP=2pi and f0=1/(2pi). (Frequency of sin(T)). You can also set the harmonic range to report from the transform. Default harmonic range that is reported is from 0 to 100.

Following results are reported from fourier transform.

1) Magnitude frequency plot in exponent form.

2) Magnitude frequency plot in sin cos form.

3) Table of approximate coefficients values for both exponent and sin cos form.

A snapshot is shown below of magnitude frequency plot in exponent form for the expression used above -