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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 3: Spectrum AnalysisBoxy vs. smoothCanary can display spectrograms in either <strong>of</strong> two styles, “boxy” or “smooth.”In a boxy spectrogram, each actual data point on the spectrogram grid isrepresented by a rectangular gray box. The width and height <strong>of</strong> the boxesdepend on the grid resolution in the time and frequency dimensionsrespectively. Grid resolution is determined in the time dimension by framelength and frame overlap and in the frequency dimension by FFT size, asdiscussed in the section above on “Grid resolution.” The left edge <strong>of</strong> each boxrepresents the beginning <strong>of</strong> a frame; the top edge is located at the analysisfrequency whose amplitude is given by the darkness <strong>of</strong> the box. The size andvisibility <strong>of</strong> the boxes on the screen depends on the size <strong>of</strong> the entirespectrogram on the screen, which in turn depends on the window size and thesignal length (which affects the time dimension only), and on the degree <strong>of</strong>zoom invoked (by using the zoom and stretch controls). Figure 3.15 shows aboxy spectrogram <strong>of</strong> the entire time and frequency range <strong>of</strong> a 1.5-secondsignal and a portion <strong>of</strong> the spectrogram after a zoom; individual boxes areindistinguishable in the full-scale spectrogram, but are clearly visible in themagnified portion.(a)(b)Figure 3.15. A boxy spectrogram at two different magnifications. (a) Song <strong>of</strong>a western meadowlark, digitized at 22.3 kHz. Filter bandwidth = 176 (framelength = 512 points = 23.0 mS), time resolution = 5.8 mS (overlap = 75%),frequency resolution = 43.5 Hz (FFT size = 512 points), window = Hamming.(b) Magnified view <strong>of</strong> section outlined in (a).In a smooth spectrogram, the darkness <strong>of</strong> each individual screen pixel isdetermined by bilinear interpolation between the amplitude (or logamplitude) values calculated at the grid points. Each time the spectrogram isresized, the grayscale values for individual screen pixels are recalculated.Thus no matter how much you stretch a smooth spectrogram, you will not seesharp-edged boxes as you would with a boxy spectrogram. Displaysmoothing is not a substitute for finer grid resolution, however. Both maymake a spectrogram more esthetically pleasing, but only finer grid resolutionCanary 1.2 User’s <strong>Manual</strong> 61

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