Figure 1

Calculation of the approximate Fourier transformation by equation (9).
(a) The waveforms of cos(at2) and sin(at2). (b) The waveform of rect(bt). (c) The convolution of cos(at2) and rect(bt), the convolution of sin(at2) and rect(bt), the square root of sum of the squares of them. (d) The waveform of oct(t). (e) The convolution of cos(at2) and oct(t), the convolution of sin(at2) and oct(t), the square root of sum of the squares of them.