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This is a port of the FFT from the SciMark2a Java Benchmark to C# by

Chris Re ([email protected]) and Werner Vogels ([email protected]).

For details on the original authors see http://math.nist.gov/scimark2.

Further modified by Andrew Graham to support separate Real and Imaginary arrays

The FFT object in this library requires that the length of the real and imaginary data

arrays are some power of 2 and are of the same size as each other. The most common use

for an FFT is to analyse a sampled data series in terms of the frequencies it contains.

In the real world each sample consists only of a real amplitude value. To transform this

time sampled series into a frequency series the amplitude values are placed in time sequence

into the real array and all the values in the corresponding imaginary array are set to zero.

Once the FFT.Transform method has been called the real array will contain the amplitude values

of the Cosine elements of the waveform and the imaginary array will contain the amplitudes of

the Sine elements. Usually only the first half of each array is relevant as the last half of the

array contains the same information as the first half but expressed as its' complex conjugate.

Because of this Transform2 is provided that takes only a real time series and returns the relevant

halves of the real and imaginary results leaving the original data series intact.

Often the vector amplitude, and possibly the relative phase, of the frequency components is

required. The FFT.ToAmplitude and FFT.ToPhase can transform the Cosine and Sine result from the

transform to this format. The corresponding methods to transform amplitude and phase data back to

real and imaginary data are provided and also the inverse FFT to transform real and imaginary

frequency data back to time domain data.

dimensional Double destarray starting at the first element.

imaginary arrays and replaces the frequency domain data with the the real and imaginary

time domain data. The transform is made in place and the contents of the specified arrays

are altered to contain the result The length of the arrays must be the same and be a power of 2.

imaginary arrays and places the real part of the resulting time domain data in data.

The halfreal and halfimag arrays are assumed to contain the first half of the frequency

domain data and remain unchanged when the method returns. The necessary complex conjugates

of each are calculated internally in the method and used in the inverse transform.

The length of the data array must be a power of 2 and the length of the halfreal and halfimag

arrays must be half that of the data array.

the cosine and sine data in the real and imaginary arrays provided. The length of the

arrays must be the same.

the amplitude and phase data in the amplitude and phase arrays provided. The length

of the input arrays must be the same.

from the cosine and sine data in the real and imaginary arrays provided. The length of the

input arrays must be the same.

the amplitude and phase data in the amplitude and phase arrays provided. The length

of the input arrays must be the same.

replaces the time domain data with the real and imaginary cosine and sine frequency

domain data. The transform is made in place and the contents of the specified arrays

are altered to contain the result. The length of the arrays must be the same and be a

power of 2.

half of the real and imaginary cosine and sine frequency domain data in the halfreal and

halfimag arrays discarding the complex conjugate parts. The imaginary components of the

time domain data for the transform are set to zero within the method and the data array

is unchanged when the method returns. The length of the data array must be a power of 2

and the length of the halfreal and halfimag arrays must be half that of the data array.

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