Verify that the reflection coefficient at any tube juncture


Question: (a) Verify that the reflection coefficient at any tube juncture in an acoustic tube model is bounded in magnitude by unity,

-1 ≤ ρk ≤ 1

(b) Suppose that we were to implement a digital filter realization of an N-tube acoustic model. It is also known that high-order digital filter realizations sometimes suffer from issues relating to finite precision arithmetic. Does the result of part (a) suggest a means of testing the N-tube digital filter realization for stability?

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Chemistry: Verify that the reflection coefficient at any tube juncture
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