By Ronald G. Driggers
ISBN-10: 0890064709
ISBN-13: 9780890064702
Presents a whole advent to infrared & electro-optical imaging structures. contains a robust emphasis at the research & layout of those platforms. DLC: Electrooptics.
Read Online or Download Introduction to Infrared and Electro-Optical Systems (Artech House Optoelectronics Library) PDF
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Additional info for Introduction to Infrared and Electro-Optical Systems (Artech House Optoelectronics Library)
Example text
This notation has no meaning until it is replaced by the integral it represents. It is best thought of as shorthand for the ,integral representing the convolution. -L I r i -L . '. 4 IMPULSE RESPONSE The concept of the impulse response [6] can best be shown through an example. 2(a). 2(b). 2(c). The output corresponds to the charging of the capacitor througn the resistor given some applied de voltage viet). The convolution of the input ,with the,impqlse response gives the output. Recall that the convolution· involves the flip, slip, mUltiply, and integrate process, where h(t) is the function that is flipped (remember that convolution is commutative).
In temporal systems, the property is often referred to as time invariance. Shift inyariance in an optical system implies that an input at one point in the FaY pi'oduces a response identical to that of the same input at a different location in the '" FOV, just shifted to a different location. In optical systems, this is frequently a marginally fulfilled condition. Most optical systems perform better "on-axis" than they do "off-axis," where "on-axis" and "off-axis" refer to the optical axis of the system.
24) The convolution of two-dimensional functions in polar coordinates is limited here to those functions that are circularly symmetric. 25) A close cousin of the convolution is the correlation where the "flip" operation is eliminated from the process. The result of a correlation operation can be thought of as a measure of how similar one signal or function is to another. The shorthand notation for cross-correlation, or the correlation of two different functions is g(x) =/(x) *h(x} where I I i ;1 :;'[ I g(x) = f~