Chap. 2 2h₂d(1-KT). Problems k=0 Here the echoes occur 7 seconds apart, and he represents the gain factor on the kth ech

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Chap 2 2h D 1 Kt Problems K 0 Here The Echoes Occur 7 Seconds Apart And He Represents The Gain Factor On The Kth Ech 1 (65.73 KiB) Viewed 84 times

Chap. 2 2h₂d(1-KT). Problems k=0 Here the echoes occur 7 seconds apart, and he represents the gain factor on the kth echo resulting from an initial acoustic impulse. (P2.64-1) (a) Suppose that x(r) represents the original acoustic signal (the music produced by an orchestra, for example) and that y(t) = x(t) h(t) is the actual signal that is heard if no processing is done to remove the echoes. In order to remove the distortion introduced by the echoes, assume that a microphone is used to sense y(t) and that the resulting signal is transduced into an electrical signal. We will Determine the 167 also use y(t) to denote this signal, as it represents the electrical equivalent of the acoustic signal, and we can go from one to the other via acoustic-electrical conversion systems. The important point to note is that the system with impulse response given by eq. (P2.64-1) is invertible. Therefore, we can find an LTI system with im- pulse response g(t) such that y(t) = g(t) = x(t), and thus, by processing the electrical signal y(t) in this fashion and then con- verting back to an acoustic signal, we can remove the troublesome echoes. The required impulse response g(r) is also an impulse train: 8(t) = Σόιδα – κτ). equations that the cunoaasivaa muat catiafu and cala