Importance

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Abstract

The Fast Fourier transform describes functions into different dimensions or coordinates such as Cartesian to spherical. For example, a function could be represented in the domains of time and frequency. The concept of the 3-D FFT has the same form as the mathematical representation of the 2-D FFT utilizing a 1-D FFT. This technique is essentially a spatial filtering operation in which the hologram functions as a matched filter. It has been applied here, to function as 4-D FFT by adding the dimension of time to recognize the presence of a specific electronic circuit and detect the moment when specific voltage levels or signals are present within or acting upon, the circuit or device under test and development. Any dynamic changes in the test object from ideal or recorded conditions, such as by defects in the device under test's circuitry or from prescribed voltage or signal induced operating parameters, will not result in the reconstruction of the desired object wave or holographic image.

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First Claim