Patent ID: 7440989

Claim:
The limited mechanization complexity method of analyzing input radio frequency signals in a radio receiver, said method comprising the steps of: generating an approximated Kernel function Fourier transformation of successive segments of said radio receiver input radio frequency signals; said approximated Kernel function Fourier transformation segments including individual Fourier series terms having real magnitude and imaginary magnitude coefficients generated by multiplication of said radio frequency radio receiver input signal determined coefficients by selected approximated Fourier transformation Kernel function coefficients; said selected approximated Kernel function Fourier transformation coefficients including both integral unit and integral multiple unit possible component magnitudes lying within and external of a Kernel function circle over a real and imaginary value complex plane grid containing said magnitude circle Kernel function location pattern over said real and imaginary value complex plane grid; said selected approximated Kernel function Fourier transformation Kernel function locations being dispersed in substantially equal angular increments around said Kernel function magnitude circle location pattern on said real and imaginary value complex plane grid; generating said individual Fourier series terms from said radio receiver input signal determined coefficients and from said Fourier transformation Kernel function coefficients having real magnitude and imaginary magnitude coefficients using a bit shift multiplication algorithm inclusive of multiple shift and add/subtract algorithm components; said selected approximated Fourier transformation Kernel function locations being dispersed in an annular space inclusive of said Kernel function magnitude circle on said real and imaginary value complex plane grid and being optimized with respect to including integral numeric values compatible with said bit shift multiplication algorithm having multiple shift and add/subtract algorithm components; whereby enhanced multiple radio frequency signal dynamic range and simplified kernel function implementation characteristics are provided in said radio frequency radio receiver.