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Complex number representation
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a[ki aliasing amplitude amplitude density angle application array atmospheric Audio Electroacoust autocovariance function average basic interval Blackman and Tukey Bryson calculated cis spectrum coefficients coherence column complex number confidence bands convolution Cooley correlation cosine covariance cross covariance cross spectral analysis curve Cycles per 80 degrees of freedom dimensions discrete spectrum distribution Dobrin elementary bands Equation estimates example fast Fourier transform filtering Fourier analysis Fourier series frequency function x[t geophys Geophysics given harmonic analysis independent variable integral Jenkins and Watts magnitude method multiplied number of degrees observations obtained odd function optical original Panofsky Parzen pattern recognition periodic periodogram phase plotted points prewhitening produce radians regression Rosenblatt Rosenfeld rows sample scale Schuster Section sequence Series Analysis shown in Figure spectral analysis statistical step stochastic processes subscript summation symmetrical technique turbulence two-dimensional variance spectrum vector waves Wiley window XX[f xx[p XX[r zero