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How to prove Line Spectral Pair coefficient properties?

I am trying to understand the definition of LSP coefficients from http://www.dspcsp.com/pdf/lsp.pdf. We take the polynomial $a(x)$ of degree $M$ from the denominator of the LPC system function, and re …
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How to prove Line Spectral Pair coefficient properties?

Ok, so the plan of the proof is as follows: First, I am going to fix the Soong and Juang's proof that if all roots of $A$ lie inside the unit circle, then all roots of $P$ and $Q$ lie on the unit circ …
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