# Tag Info

Accepted

### Minimum Phase - All Pass Decomposition For Large Linear Phase Filters

Computing the polynomial coefficients from the roots of the polynomial is a potentially ill-conditioned problem. However, it turns out that the order of the roots supplied to the ...
• 80.4k

### Not able to reach minimum phase using Hilbert transform

More taps. You don't have anywhere near enough taps for a filter that steep. Start large with 8192 or so cut to desired accuracy, if needed Due to the low number of tabs you are seeing the effect of "...
• 32.7k
Accepted

### Minimum phase FIR method

You made a minimum-phase filter but with a different magnitude response than the original linear phase filter. What you have to do to keep the magnitude the same is to reflect the zeros outside the ...
• 80.4k
Accepted

• 8,666

### Minimum phase All-pass

An LTI system is said to be minimum-phase if the system and its inverse system are causal and stable. That's implying that all poles and zeros must be strictly inside the unit circle. An all-pass ...
• 2,628

• 32.7k
1 vote

### Get minimum phase from function

Why is it that reflecting any poles or zeros of a rational function across the unit circle gives a minimum phase system? It doesn't. You are starting with a wrong assumption. Here's an example, it ...
• 32.7k
1 vote

### minimum-phase phase via Hilbert transform returned values

I computed and compared the minimum phase HRIR and the original one. This is my final code: ...
1 vote

### Validity of an argument that two transfer functions are minimum-phase based on their ratio being minimum-phase

two transfer functions HL and HR can each be represented as a minimum-phase filter (MPF) plus a pure delay. That is generally not true and it's easy enough to disprove it by counter example. Let's ...
• 32.7k
1 vote
Accepted

### What does nonnegative zero-phase response mean?

What they mean here is that the real-valued amplitude function of the linear phase FIR filter that you provide to the function must be non-negative, because it is interpreted as the desired squared ...
• 80.4k
1 vote

### When is the sum of two (parallel) minimum-phase filters also minimum-phase?

I don't think you will have much luck there. Minimum phase means that all the roots of all polynomials $A,B,C,D$ are inside the unit circle. That means that the product of two polynomials will also ...
• 32.7k
1 vote
Accepted

### Algorithm to Count Zeros Outside Unit Circle for FIR Filter

Here is one answer, if someone can improve on this I will select it as the "right" answer (also comments very welcome on obvious flaws with this approach): Given Cauchy's argument principle, the ...
• 37.7k
1 vote

### How to create matched "minimum phase" for a system of parallel FIRs?

The Hilbert "transform" or relation define one phase response for a given magnitude response, so you can't get both matched and minimum phase in your case. Regards.
1 vote
Accepted

### Finding the transfer function of a discrete signal described by two equations

HINT: (because it's a homework problem) Apply the $\mathcal{Z}$-transform to both equations. Use the first equation to express $Q(z)$ in terms of $X(z)$, and plug that into the second equation to ...
• 80.4k
1 vote
Accepted

### Under what conditions do the phase margin and Nyquist criteria give the same results?

As you have pointed out, the nyquist stability criterion is more general, moreover, is the only stability criterion. Nevertheless, the Bode plot give us the exact same information that the nyquist ...
• 268

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