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Doppler Simulation

It is well known that a time-varying delay line results in a frequency shift. Time-varying delay is often used, for example, to provide vibrato and chorus effects [21]. We therefore expect a time-varying delay-line to be capable of precise Doppler simulation. This section discusses simulating the Doppler effect using a variable delay line [473].

Consider Doppler shift from a physical point of view. The air can be considered as analogous to a magnetic tape which moves from source to listener at speed $ c$ (see Fig.3.10). The source is analogous to the write-head of a tape recorder, and the listener corresponds to the read-head. When the source and listener are fixed, the listener receives what the source records. When either moves, a Doppler shift is observed by the listener, according to Eq.$ \,$(3.4).4.4

Figure 3.10: Magnetic tape analogy.
\begin{figure}\input fig/tape.pstex_t
\end{figure}



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``Physical Audio Signal Processing'', by Julius O. Smith III, (August 2007 Edition).
Copyright © 2008-05-16 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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