Methods forProcessingComplex Waveforms Through Filters forUse inMonte CarloNoiseStudies
W. Bernard Schaming · 1969
AnyN-pole linear lumped-constant time-invariant net- workcanberepresented byalinear homogeneous difference equa- tion. Ifanarbitrary input waveform issampled atequally spaced time intervals, sothateight ormoresamples areavailable atthehighest significant frequency present, theoutput waveform canbecomputed ina£imple mannerfromthedifference equation. IfK input samples aretobefiltered, thesaving incomputer time, whencompared tothe usageoftheconvolution integral, isequal toK.Themethodisillus- trated bythesimulation ofanFM receiver, operating atthreshold, in thepresence ofGaussian noise.