FEM Theory and Analisys with ANSYS

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Acoustica 37:155–166 27. Stenzel BO (1958) Leitfaden zur Berechnung von Schallvorg€angen. Springer, Berlin 28. Cremer L, Heckl M (1996) K€ orperschall. Springer, Berlin 29. M€ oser M (1988) Analyse und Synthese akustischer Spektren. Springer, Berlin 30. Williams EC (1999) Fourier acoustics. Sound radiation and nearfield acoustical holography. Academic, London 31. Morse P, Ingard U (1968) Theoretical acoustics. McGrawHill, New York 32. Moon P, Spencer DE (1971) Field theory handbook. Springer, New York 33.

If, however, the FFT block length is exactly equal to an integer number of periods, this error will be omitted. Generally, the sampling block of integer number of periods can be mapped to an FFT block length by sampling rate conversion. An approximate method for error reduction is given by the window technique. A ‘window’ in this sense is a time function with slope onset and offset multiplied Fig. 15 Signal path in linear time-invariant systems (LTI). The input signal s(t) or S(f) and the output signal s0 (t) or S0 (f) are related to each other by the response to Dirac pulse (impulse response h(t)) or by the response to pure tones (stationary transfer function H(f)).

32) Kxx(t) is called the autocorrelation function. Kxx(t) has its maximum at t ¼ 0. If for certain time shifts, values comparable to the maximum (in the normalised definition ¼ 1) appear, the signal is considered periodic (see also Sect. 4). Stochastic signals are internally uncorrelated and show accordingly very small autocorrelations, apart from t ¼ 0. From a measurement of two signals over a certain transmission path (for instance, an acoustic transmission line, a vibroacoustic path or an airborne sound path between two points in a room or between two rooms), the complex spectra can be calculated by using an FFT analyser.

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