Signals & Analysis - week 1+2

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  • Signals & Analysis
    • A decibel is the just noticeable difference in signal levels
      • A decibel is 1/10 of a bell
      • dB = 10 x log(p1/p2)
      • dB = 10 x log(vp1^2/vp2^2)
        • dB = 20 x log(vRMS1/RMSvP2) = SNR
        • dB = 20 x log(vp1/vp2) = dynamic range
    • Phase delay
      • phase = tdelay/tcycle * 360 degrees
        • tdelay = the delay time of two waves at the same point in amplitude (usually measured at the zero crossing point)
      • Destructive wave interference is where waves that are out of phase combine to give a negative, cancelled effect
      • Constructive wave interference is where waves that are in phase combine to give a positive, boosted effect
      • Phase delay can only be calculated if both waves are the same frequency
      • phase = tdelay/tcycle * 2PI radians
        • tcycle = 1 full oscillation of wave A
    • Analogue or digital
      • Physical/Psychophysical representations of sound
        • Human hearing range is 20Hz - 20kHz
    • Wave properties
      • RMS is Root Mean Square Amplitude
        • RMS = peak value / root(2)
        • RMS = peak-peak x 0.354 or peak x 0.707
      • 1 period or cycle is from peak to peak
      • Peak is from 0 to the max amplitude
        • Peak-peak is from min amplitude to max

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