Abstract: A Fourier transformation system usable for example in an electronic warfare radio receiver for analyzing spectral content of multiple transmitter-sourced brief duration incoming signals for characteristics including frequency component and frequency component amplitude content. The Fourier transformation system includes a plurality of approximated Kernel function values disposed at a plurality of locations about a real-imaginary coordinate axis origin and displaced from the origin by magnitudes having real and imaginary component lengths of unity and powers of two. Multiplication involving a power of two component during a Fourier transformation are achieved in a simple manner commensurate with a multiplication by unity in complexity but involving a binary number shift multiplication operation in lieu of a full fledged digital multiplication. Signal results comparisons with more simplified and more complex Kernel function approximations are also included.

Abstract: A broadband gigahertz frequency range radio receiver useful in electronic warfare and other applications for incoming signal detection and identification purposes. The receiver is based on Fourier transform examination of incoming signal characteristics and provides real time accomplishment of these tasks by way of using a simplified one-bit digital representation of the incoming signals and a resulting reduction of the computational load associated with the Fourier transform operation. The receiver precedes the Fourier transform operation with signal processing which may include, for example, a limiting amplifier and two bandpass filters. Two incoming signal accommodation is provided, a characteristic which is particularly improved over the characteristics of popular presently used receivers in this field.

Abstract: The present invention provides a realization of a real-time, high frequency Fourier transformation using a single binary-bit kernel function which reduces the mathematical operation mechanizations needed to generate a Fourier transformation from multiplication and associated dense, complex hardware to simple addition and subtraction associated hardware components. The single binary-bit kernel function Fourier transformation generated produces a constant peak amplitude regardless of the number of bits in the input data and is most useful for applications where input data is composed of 1 and 2 binary bits.