Journal of the Society of Motion Picture Engineers (1930-1949)

Record Details:

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652 ELLSWORTH D. COOK [J. S. M. p. E. tion to one another and new frequencies are introduced. This is easily seen by analyzing the envelope curve of Fig. 1 in Fourier series. n = 1 n 1 bnsmne\ (2) It will be found preferable to find #1 and bi directly rather than to deduce these coefficients from general expressions for an and bn. <p £ sin cos* 1 w = °° \ sin n<p + ( I)n2« sin | cos ^r cos n = 2 n = « i ! _ cos Wv? _|_ ( _ !)»2w sin g sin ^ f + E n = 2 2^ 2 \ Sin«0 w(w2 I)TT This may be^simplified as follows: ...(3) Where C0 = a0 Cn = V a2n 5n = arc tan (£) (4) (5) The coefficients Cn have been plotted in Fig. 2. They show the effective loss of fundamental response and the generation of harmonics occasioned by increasing the size of the aperture. The aperture effect is again encountered in the reproducer. If it is assumed that the light intensity is uniform over a rectangular reproducing aperture and the reproducing film speed, g, is constant the distortion introduced will be found to be in the alteration of the amplitudes of the various frequencies only, no additional frequencies being introduced. If CJ) is the amplitude of the recorded wave of fundamental frequency and H is one-half of the width of the sound track available, then the percentage modulation may be expressed as k = — . When the printed record is considered, the origin and base