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# Lab_disc - Hmwk 6 avg 87 aliasing Fourier Transform in...

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5/10/10 Hmwk 6 – avg 87 aliasing Fourier Transform in excel Lab 1 fitting a trend Sample T-Test Review Exam Problem number 2 solution Review Fourier Analysis and Beam Lab (if time)

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5/10/10 Fourier Transform Sampling Rate – Hz -1/sec Sampling Interval – sec Sample Interval = 10 min OR 0.00167 Hz Sample Interval = 0.0001 sec OR10000 Hz Hmwk 6 – 3d Sampling Interval = T/8 = 2/8 = 0.25 sec Sampling Rate = 4 Hz 3 Components – 0.5, 1.5, and 2.5 Hz When sampling at Fs =4 Hz, could a Fourier transform distinguish a signal with frequency 8 Hz? 4 Hz? NO!!! – The fft can only resolve components Fs/2 and smaller. Called Nyquist Frequency Both are same physical meaning, one is often more convenient than the other
5/10/10 First, consider what happens when you sample > Nyquist Ex – Signal with freq = 1Hz - Sampled at 4 Hz Aliasing 0 2 4 6 8 10 -5 0 5 time (seconds) Signal continuous signal slow sampling 0 0.5 1 1.5 2 0 2 4 Frequency (Hz) Signal

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5/10/10 Now, consider what happens when you sample < Nyquist Ex – Signal with freq = 1Hz - Sampled at 1.1 Hz < Nyquist = 2 Hz
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