## Design Simulation Systems Ltd |

All of the following waveform manipulation algorithms use double-precision
complex mathematical calculation and assume complex inputs.

All arithmetic functions accept floating point numeric constants as one or
other input parameter, for waveform scaling, weighting, etc

Fast Fourier Transform

Fast Fourier Transform in Real/Imaginary or Magnitude/Phase format.
FFT has user-selectable zero-fill up 65536 data points and Hamming,
Hanning and Blackman windows.

Inverse Fast Fourier Transform

IFT Transform in Real/Imaginary or Magnitude/Phase format

Convolution

Performs the convolution of the two waveforms selected by the mouse.
Self-convolution may be performed by selecting the same waveform twice.

Deconvolution

Deconvolves the first waveform selected with the second.

Cross and Auto Correlation

Performs the correlation of the two waveforms selected by the
mouse. Auto-correlation may be performed by selecting the same waveform twice.

Differentiation

Differentiates the waveform selected by the mouse, using a two-point algorithm.

Integration

Integrates the waveform selected by the mouse, using Simpson's Rule.

Addition

Performs the algebraic sum of the two waveforms selected by the
mouse, analogous to additive mixing.

Subtraction

Subtracts the second waveform selected by the mouse from the first.

Multiplication

Multiplies together the two waveforms selected by the mouse, analogous to suppressed carrier modulation.

Division

Divides the first waveform selected by the mouse by the second. There is
logic present to avoid divide-by-zero errors.

Inversion

Inverts the selected waveform, by multiplying each point by -1.00,
in double precision arithmetic.

Real/Imaginary -> Magnitude/Phase

Will convert a real/imaginary waveform to mag/phase.

Magnitude/Phase -> Real/Imaginary

Will convert a mag/phase waveform to its real and imaginary components.

True RMS Calculation

True Mean Calculation

Complex-Plane Display

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