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DSP Documents > WINDOWS: Finite Aperture Effects and Applications in Signal Processing
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WINDOWS: Finite Aperture Effects and Applications in Signal Processing
By Fred J. HarrisAbstract:
A window is the aperture through we examine the world. By necessity, any time or spatial signal we observe, collect, and process must have bounded support. Similarly, any time or spatial signal we approximate, design, and synthesize must also have bounded support. Support is the range or width of the independent variable (time, distance, or frequency) over which the dependent variable, say the signal, is non-zero. This finite support can be defined over multiple dimensions, extending for instance, over a line, a plane, or a volume. Windows can be continuous functions or discrete sequences defined over their appropriate finite supports.
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