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User's Manual - Cornell Lab of Ornithology - Cornell University

User's Manual - Cornell Lab of Ornithology - Cornell University

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Chapter 6: MeasurementsIn the waveform, the amplitude-weighted central time <strong>of</strong> the selected interval.Center Time for a waveform selection is computed asn∑t i⋅x i2i= 1n2x i∑i= 1(6.1)where n is the number <strong>of</strong> samples in the selection, t i is the time (in sec from thebeginning <strong>of</strong> the signal) <strong>of</strong> the ith sample in the selection, and x i is the value <strong>of</strong>the ith sample in the selection. In the spectrogram, the amplitude weightingsare limited to the selected frequency band. Units: sec.Correlation Peak (correlation)(Range) The maximum value <strong>of</strong> a correlation function in the selected range.Correlation Value (correlation)(Point) The value <strong>of</strong> the correlation function at the point in time correspondingto the horizontal position <strong>of</strong> the mouse pointer.Dynamic Range (spectrogram, spectrum)The difference between the amplitude floor and ceiling <strong>of</strong> a spectrogram.Units: dB for logarithmic spectrograms; watts/m 2 /Hz for quadraticspectrograms <strong>of</strong> acoustic signals; watts/Hz for quadratic spectrograms <strong>of</strong>electric signals. See also Amplitude Ceiling, Amplitude Floor.End Time (waveform, spectrogram, correlation)(Range) The time (from the beginning <strong>of</strong> the signal) at which the selectionends. For correlations, time is measured from the beginning <strong>of</strong> the firstcorrelation file. Units: seconds.Energy (electric waveform, spectrogram, spectrum)(Range) The total energy in the selection. For a stationary signal (one with aspectrum that does not change over time), the energy in a given time intervalequals the average power (in watts) times the length <strong>of</strong> the interval (inseconds). For a waveform, the energy is calculated as⎛⎜⎜⎝t 22∑x tt=t 1⎞⎟⎟⎠1R L f s(6.2)where t 1 and t 2 are the sequence numbers <strong>of</strong> the first and last samples in theselection, x t is the voltage <strong>of</strong> the tth sample, R L is the line impedance (inohms), and f s is the sampling rate (in Hz). For a logarithmic spectrogram,energy is calculated as94 Canary 1.2 User’s <strong>Manual</strong>

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