ngspice/src/spectrum

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* Fourier Series Function for SPICE
.control
begin
if ($argc lt 4)
echo Error: Too few arguments.
echo ' 'Spectrum produces a plot containing a fourier series transformation of
echo ' 'the specified vectors
echo usage: spectrum startfreq stop step vec [[vec] ...]
goto bottom
end
if ( time eq time )
foreach vec $argv[4-len]
if ( $vec eq $vec )
else
goto bottom
end
end
else
echo ' 'Spectrum can not work without a time vector from a transient analysis.
goto bottom
end
set dt=$curplot
set title=$curplottitle
set curplot=new
set scratch=$curplot
let span={$dt}.time[length({$dt}.time)-1]-{$dt}.time[0]
if ($argv[3] gt 0.999/span)
let fpoints= ( $argv[2] - $argv[1] ) / $argv[3] +1
if (fpoints < 2)
echo frequency start stop or step not correctly specified
goto cleanup
end
else
echo Error: time span is not long enough for a step frequency of $argv[3] Hz
goto cleanup
end
let lent = length({$dt}.time)
set lent = "$&lent"
let nyquist = {$lent}/2/span
if ($argv[2] gt nyquist)
echo Error: The nyquist limit is exceeded, try a frequency less than "$&nyquist" Hz
goto cleanup
end
set fpoints="$&fpoints"
set curplot=new
set spec=$curplot
set curplottitle=$title
set curplotname='Spectrum Analysis'
let frequency=vector( $fpoints )*$argv[3]
dowhile frequency[1] < ( $argv[1] + 1e-9 )
let frequency = frequency + $argv[3]
end
foreach vec $argv[4-len]
let $vec = vector( $fpoints ) + j(vector( $fpoints ))
reshape $vec [{$fpoints}]
end
set curplot=$scratch
let npers=1
let test = span-2/$argv[3] + 1e-9
while test > 0
let npers = npers + 1
let test = test-1/$argv[3]
end
let ircle = 2*pi*max(-1,({$dt}.time-{$dt}.time[{$lent}-1])*{$argv[3]}/npers)
let win = 1 - cos(ircle)
let ircle = npers*ircle
let circle = ircle * ({$spec}.frequency[0]/$argv[3] - 1)
let k=vector( $fpoints )
foreach k "$&k"
let circle = circle + ircle
foreach vec $argv[4-len]
let tmp = win*{$dt}.{$vec}
let {$spec}.{$vec}[{$k}] = 2*(mean(cos(circle)*tmp),mean(sin(circle)*tmp))
end
end
label cleanup
destroy $scratch
unset fpoints dt scratch spec vec k title lent
label bottom
end