# Questions tagged [minimum-phase]

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

Problem statement I have a collection of magnitude (only) responses I'd like to turn into FIR filter kernels that are matched in phase "minimal" in phase, with respect to the complete system have ...
26 views

### How can I test a finite sequence to see if it is minimum phase other than by finding its zeros?

I want to test finite (but long - up to 400 elements) sequences to see if they are minimum phase. Is there a test other than computing the zeros of the z-transform of the sequence? Something like ...
84 views

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

My problem is pretty simple, I've designed a magnitude response and I would like to find the corresponding minimum phase filter. I'm using the code below and unless there is a bug my eyes don't want ...
212 views

### How to prove these two definitions of the minimum phase transfer function are same?

There are so many definitions of the minimum phase transfer function, and these are two of them. The transfer function of the system which has no zeros or poles at right half plane. The transfer ...
74 views

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

A discrete time system is described by the following system of equations. $$q[n] = \big(x[n]-\frac k4q[n-1]\big)$$ $$y[n] = \big(q[n]-\frac k3q[n-1]\big)$$ Find the systen function and then find the ...
75 views

### Homework Help: What does $h = 1$ represent? What is $\ln \big| H(e^{j \omega})\big|$?

I have been staring at this problem for a week now... Suppose $H(e^{j \omega})$ is the frequency response of a stable and causal minimum-phase discrete-time system with $h=1$ ($h[n]$ is the ...
769 views

### Hilbert transformer and minimum-phase

I can't find out if it possible to compute the minimum-phase response corresponding to a given magnitude response using a Hilbert transformer. Is that possible? When I write Hilbert transformer I ...
389 views

### Definition of minimum-phase system

I saw a couple of definitions for minimum-phase in different textbooks and I'm trying to understand what the implication of each of them. The first definition I saw was: An invertible system which ...
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377 views

### Transform minimum phase FIR into linear phase FIR

I've seen examples of transforming a linear phase FIR into a minimum phase FIR, but is there a simple process to transform a minimum phase FIR into a linear phase FIR? I would like to end up with a ...
I am given $|H(\omega)|$, I wonder if minimum phase stable causal filter is unique and how to calculate it.
If a system is given by a transfer function in the $z$ domain that has all poles and zeros inside the unit circle except for a factor of $z^{-1}$ in the denominator (pole at infinity), can it still be ...