## A New Twist to Fourier TransformsMaking use of the inherent helix in the Fourier transform expression, this book illustrates both Fourier transforms and their properties in the round. The author draws on elementary complex algebra to manipulate the transforms, presenting the ideas in such a way as to avoid pages of complicated mathematics. Similarly, abbreviations are not used throughout and the language is kept deliberately clear so that the result is a text that is accessible to a much wider readership. The treatment is extended with the use of sampled data to finite and discrete transforms, the fast Fourier transform, or FFT, being a special case of a discrete transform. The application of Fourier transforms in statistics is illustrated for the first time using the examples operational research and later radar detection. In addition, a whole chapter on tapering or weighting functions is added for reference. The whole is rounded off by a glossary and examples of diagrams in three dimensions made possible by today's mathematics programs. |

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100 sample filter ÀI ft amplitude antenna Artech House beamwidth Blackman-Harris calculated Cartesian centre Chapter characteristic function Chebyshev complex conjugate convolution correlation cosine curve decibels delta function discrete Fourier transform echo signals Equation finite impulse response Fourier series frequency is varied function is given gamma distribution Gaussian distribution helix integration inverse Fourier transform inverse transform kurtosis major signal frequency Maple Massachusetts Massachusetts,2001 mathematics Meikle Modern Radar Systems modulation multiplied negative phase sequence Norwood ofthe spectral leakage output parameters phase sequence component plotted polyphase probability distribution function processing gain Rayleigh distribution rectangular pulse root mean square rotating sampling frequency Scalloping loss shown in Figure sidelobe sidelobe level signal-to-noise ratio sine skew Source spatial spiral spectral leakage spectrum standard deviation statistics Swerling Table tapering functions tion two-tone characteristics values variable variance vector voltage wave waveform width Worst case loss zero