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5

Suppose some $H(q)=\frac{A(q)}{B(q)}$ where q is some complex variable and $A,B$ are functions of $q$. Whether in the s or z planes, to evaluate the magnitude of $H(q)$ at some $q$, you evalaute and sum all distances from $q$ to the locations of the zeroes (i.e. the magnitude of $A$) and similarly for $B$ and create the fraction above for that specific $q$. ...


3

Note that the formula given in your question is valid for a system with a complex-conjugate pole pair $p$ and $p^*$ with $\text{Re}(p)\neq 0$. As you've correctly pointed out, if for $|p|>0$ the real part $\text{Re}(p)$ approaches zero, the $Q$ factor approaches infinity. This is the case for a pole pair on the $j\omega$-axis with $|p|>0$, i.e. not at $...


3

My recommendation would be to do the processing in the frequency domain as methods are available that can directly be used to approach your problem. In many cases, speech "quality" is related to the signal-to-noise ratio (SNR) of the signal. At least, I assume this is the case for your application - i.e., telephone communication. In general, some measure for ...


1

Currently I am writing a script that will look at the time/size = compression rate. Anything that is below 300kb/s I want to delete. That's a very bad idea. Just because something compresses well, because it fits the signal model of the compressor well, doesn't mean it's bad quality. Usually, quite the contrary. You give an example in your comments ...


1

In the Z plane, a point on the unit circle represents frequency, and the distance to a pole is inversely proportional to gain (as a pole is in the denominator of the transfer function fraction). As an ant crawls around a unit circle, it's maximum distance and minimum distance from a point at the center is the same. The ratio of the two distances (max and ...


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