频谱曲线计算与模拟曲线DFT理论

一、实函数曲线抽样与其光滑模拟曲线的DFT设震动波实函数x(t)之CFT为X(f),x(t)?X(f),

COMPUTATION OF FOURIER SPECTRAL CURVES AND THE THEORY OF DFT BY SIMULATIVE CURVES

Using DFT theory of the purely smooth simulation curve, this paper gives a formula ofFourier spectral curve by a set of finite motion wave samples. It is shown that, with two simu-lative curve treatments, we may get respectively two continuous and smooth spectral curves onthe full frequency domain. These results have higly accurate and reasonable characteristics. Themethod of inversely computing continuous and smooth motion curves on the full time domainby a set of finite Fourier spectral sample series is also given. As we may use the FFT, the com-putations are easy and rapid. Another complete expression of computing phase is given to guarantee against the occur-rence of mistakes.