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Fourier Window Functions

 

Window functions have been added to MC11 to facilitate signal selectivity. Here is a list of the new window functions.

Rectangular
Bartlett-Hann
Blackman
Blackman-Harris
Blackman-Nuttal
Cosine
Falttop
Gaussian
Hamming
Hanning
Kaiser
Lanscos
Nuttal
Triangular
Tukey

Window functions are useful in many ways but spectral analysis is one particularly useful function. Here is a circuit that has a source with which the sum of two closely spaced sinusoids.
Circuit for demonstrating the Fourier window functions

The sinusoids are:

1.0 volts at 1470.2meg
0.001 volts at 1560.2meg


If you run a Fourier analysis of the e1 voltage you get this:



Fourier plot



Only the 1.0volt 1470.2MHz signal is evident in the Fourier plot. Now apply a Blackman- Harris window and we get this:



Fourier plot



Now the .001 signal at about 1560MHz is evident. In this case several window functions would have been effective in showing the small signal. Here is a what the Flattop function produces:



Fourier plot



In this circuit Blackman, Gaussian, Nuttal, Blackman-Harris, Blackman-Nuttal, and Flattop all proved effective in showing the smaller signal.

 
Download Fall 2013 Circuit Files
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