Amazon Books Don  Lancaster's Guru's Lair
FastSol  Magic
Sinewave  Calculator
Version II - to 23 pulses per quadrant    
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This interactive demo lets you find values and explore numerical
tolerances on 23 or fewer pulses per quadrant Magic Sinewaves of
different types. It uses new techniques that are considerably faster
and more powerful than any of the earlier calculators.

Click here for Tutorials and further Magsin support.
Click here fo a Magic Sinewave Executive Summary.

You can click here to email the developer.
You can click here for minor Design assistance.
You can click here for major Development assistance.

To find a magic sinewave:

FIRST, use the scrolling menu to select the type of Magic
Sinewave desired.

By AMPLITUDE: Enter the desired amplitude from 0.00 to 1.00
into the Target Amplitude box. Then click on Set Amplitude. A
good guess for a magic sinewave solution should appear. Next
click on Improve to do the actual magic sinewave optimization.
Several clicks may be required for extreme accuracy.

By POWER: Enter the desired power from 0.00 to 1.00
into the Target Power box. Then click on Set Amplitude.
A good guess for a magic sinewave solution should appear. Next
click on Improve to do the actual magic sinewave optimization.
Several passes may be required for extreme accuracy.

Amplitudes near 1.0 for very large n may not converge.
Instead, "sneak up" on the problem by using Improve
from a nearby lower working value rather than reinitializing
and reguessing with Set Amplitude.

The InstaCalc buttom combines amplitude or power settings
with six iterations of improvement.

To analyze a possible magic sinewave:

By ANGLES: Enter or alter the desired start and ending angles
for each pulse in their respective boxes. Then click on Set
. An analysis of the funamental amplitude and power
will appear, along with the harmonic strength of the first
113 harmonics. Angles are limited to the first quadrant and
must not overlap. The start angle must always be less than
the stop angle as well.

To explore data table quantization effects:

Optimize the magic sinewave. Then click on ONE quantization
button to view the attainable distortion. Always reoptimize before
changing your quant selection. Quantization values are only a
guideline approximation.

To export angle or pulse data values:

Cut and paste from their respective Export areas. Present format
is in the PostScript language. This can be customized.

Click select your Magic Sinewave here:  

Set Amplitude Set Angles Improve Instacalc deBug
8-bit Quant 10-bit Quant 12-bit Quant 16-bit Quant 24-bit Quant

Pulse Positions
in Degrees
                   Target Amplitude: 
                          Target Power: 
  p1s:      Fundamental Amplitude: 
  p1e:      THD     is    percent.
  p2s:     h03:   h91:   
  p2s:     h05:   h93:   
  p3s:     h07:   h95:   
  p3e:     h09:   h97:   
  p4s:     h11:   h99:   
  p4e:     h13:   h101: 
  p5s:     h15:   h103: 
  p5e:     h17:   h105: 
  p6s:     h19:   h107: 
  p6e:     h21:   h109: 
  p7s:     h23:   h111: 
  p7e:     h25:   h113: 
  p8s:     h27:   h115: 
  p8e:     h29:   h117: 
  p9s:     h31:   h119: 
  p9e:     h33:   h121: 
  p10s:   h35:   h123: 
  p10e:   h37:   h125: 
  p11s:   h39:   h127: 
  p11e:   h41:   h129: 
  p12s:   h43:   h131: 
  p12e:   h45:   h133: 
  p13s:   h47:   h135: 
  p13e:   h49:   h137: 
  p14s:   h51:   h139: 
  p14e:   h53:   h141: 
  p15s:   h55:   h143: 
  p15e:   h57:   h145: 
  p16s:   h59:   h147: 
  p16e:   h61:   h149: 
  p17s:   h63:   h151: 
  p17e:   h65:   h153: 
  p18s:   h67:   h155: 
  p18e:   h69:   h157: 
  p19s:   h71:   h159: 
  p19e:   h73:   h161: 
  p20s:   h75:   h163: 
  p20e:   h77:   h165: 
  p21s:   h79:   h167: 
  p21e:   h81:   h169: 
  p22s:   h83:   h171: 
  p22e:   h85:   h173: 
  p23s:   h87:   h175: 
  p23e:   h89:   h177: 

Exportable: Angle-Position Pairs ( scroll for all )

Exportable: Delay-Pulsewidth Pairs ( scroll for all )


Debugging: Gauss-Jordan Input ( scroll for all )

Debugging: Gauss Reduction ( scroll for all )

Debugging: Full GJ Reduction ( scroll for all )



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