Understanding the FFT: A Tutorial on the Algorithm & Software for Laymen, Students, Technicians & Working Engineers |
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Page 7
... square wave may be approximated with a series of sine waves . Now , these sinusoids are , in general , referred to as the " harmonics " of the wave shape , except that a sine wave which just fits into the domain of definition ( i.e. one ...
... square wave may be approximated with a series of sine waves . Now , these sinusoids are , in general , referred to as the " harmonics " of the wave shape , except that a sine wave which just fits into the domain of definition ( i.e. one ...
Page 19
... waves ? " ( See Fig . 1.7 below . ) On the other hand , we could synthesize a square wave by combining the outputs of thousands of sine wave generators just as we did with the computer program several pages back . When we had finished ...
... waves ? " ( See Fig . 1.7 below . ) On the other hand , we could synthesize a square wave by combining the outputs of thousands of sine wave generators just as we did with the computer program several pages back . When we had finished ...
Page 20
... Waveform of Astable Multivibrator the astable multivibrator produced - a square wave ( allowing that our generators produced harmonics that extended beyond the band- width of the testing circuitry ) . If we took some instrument ( such as a ...
... Waveform of Astable Multivibrator the astable multivibrator produced - a square wave ( allowing that our generators produced harmonics that extended beyond the band- width of the testing circuitry ) . If we took some instrument ( such as a ...
Contents
Fourier Series and the DFT | 27 |
The DFT Algorithm | 66 |
Four Fundamental Theorems | 83 |
Copyright | |
7 other sections not shown
Common terms and phrases
16 data points 16 Point 70 PRINT algorithm amplitude apparent average value BFLY butterfly C/R TO CONTINUE chapter coefficients COMPONENT TRIANGLE cosine components data array DFT program domain data domain function Domain Waveshape dot product equation F(SIN FFT routine Figure forward transform Fourier Analysis Fourier series Fourier Transform frequency components frequency domain GOSUB GOTO GWBASIC harmonic components harmonic number Horner Scheme illustrate INPUT C/R input data input function inverse transform line 40 located MAIN MENU matrix multiply negative frequencies number of data Nyquest frequency operations orthogonal output array partial DFT PERFORM DFT phase shift point DFT PRINT HEADING PRINT INPUT PRINT:PRINT radians RECONSTRUCT REM PRINT RETURN rotated Shifting Theorem simply sine and cosine sine components sine wave sinusoids spectrum square wave stage of computation Stretching Theorem subroutine summation Taylor series transform routine triangle wave twiddle factor variable vectors width Xform zero