ME301BeamVibration112SupplementFourierTransforms

- 1.12 Supplement on Introduction to Fourier Transforms A number of experiments generate a cyclic voltage vs time such as an electrical tachometer

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
1.12. Supplement on Introduction to Fourier Transforms A number of experiments generate a cyclic voltage vs. time such as an electrical tachometer and vibrating wing accelerometer. The signal can have a dominant frequency with a wave shape such as sine, square or sawtooth. The signal could also be corrupted by high frequency noise or 60 [Hz] electrical noise from the laboratory. Fourier analysis offers a method for breaking the signal down into a set of individual sine (or cosine) waves of different frequencies by determining wave amplitudes. To learn about Fourier Analysis, consider the common signal of an on/off square wave The fundamental frequency is the inverse of the period, , and the duty cycle is the time, d, the signal is ‘on’ compared to the cycle period (duty cycle, , is usually in percent) Using a Fourier cosine series, the square wave of voltage versus time is comprised of many superimposed cosine waves. With a unit step square wave, the series is where the amplitude and frequency of the component cosine waves are The magnitude of these amplitudes being related to wave number, m , gives a frequency domain plot (x,y)=( f , A magnitude) or (x,y)=( m wave number, A magnitude). It takes
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
many waves in the series for the V(t) to appear as a square wave. A special case is the duty cycle of 50% or 0.5 where the series simplifies to only odd terms. The
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/07/2011 for the course AE/ME 301 taught by Professor Lafleur during the Spring '11 term at Clarkson University .

Page1 / 5

- 1.12 Supplement on Introduction to Fourier Transforms A number of experiments generate a cyclic voltage vs time such as an electrical tachometer

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online