# Questions tagged [minimum-phase]

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### Recovering phase response from frequency magnitude of a minimum-phase system: Practical considerations

My problem is this: Given a frequency magnitude response $|\hat{h}(\omega)|$ of a minimum phase system, how can one reliably recover its phase response? In my case, the magnitude is quite short (~30-...
57 views

### Can a physical system/ filter be minimum phase?

I read that any system with a time delay cannot be minimum phase. As all real world systems have physical length over which a signal must propagate, does this mean that real world filters etc. Cannot ...
23 views

### How to generate minimum phase convolutions from Z-space sampling?

As far as I understand it, a convolution is classified as minimum phase if and only if all zeroes and poles from its transfer function lie in the Z-plane unit circle. However, I'm having trouble going ...
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### Create a minimum phase filter from an elliptic digital filter

I have the numerator and denominator of a lowpass digital elliptic filter. I know how to create a minimum-phase filter with the same magnitude response using cepstrum technique. But I came across this ...
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1 vote
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### Question about reducing phase delay in filters for microcontroller application

I am trying to design a filter to smooth out some of my sensor data. This is for a control systems application where I have limited phase margin. I am looking for a solution where I can maintain lower ...
217 views

### Intuitive explanation of magnitude-phase-relationship for minimum phase filters

I know that, given the magnitude response $|H(e^{j \omega})|$ of a filter $H(z)$, it's minimum-phase response is given by $$\phi(\omega) = -\mathscr{H}\Big\{ \log(|H(e^{j \omega})|) \Big\} \ .$$ I ...
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179 views

### Why extracted minimum phase component have inverted phase?

I'm using Octave code to extract minimum phase, but this minimum phase has became inverted phase acording to original signal, What is goin wrong? Resault here I have shifted main signal about 48 ...
59 views

### Finding impulse response/polynomial zero on the unit circle

The polynomial here is impulse coefficients of minimum phase FIR filter, or it's impulse response. A code somewhere tries to finding roots of polynomial on the circle. It have roots of polynomial <...
1 vote
218 views

### How to determine if a system is minimum phase or not?

I'm studying for an exam and this is an old exam question that I don't understand: Is the following system non-minimum phase? $$G(s) = \frac{e^{-2s}}{s+2}$$ I can see that the real part of the pole is ...
• 13
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### What is the position of all zeros of a minimum phase, Type 1 Linear Phase FIR Filter?

Let me write down all the facts that I know of. In context of the z plane: Minimum phase system: All zeros and poles of such a system lie inside the unit circle. Linear phase FIR filter: For every ...
• 115
70 views

### Reconstruction of original signal after minimum phase filter

The question is pretty self explanatory. I want to know if it is possible to recover a signal originally injected into noisy data (coloured gaussian noise) after whitening the data with an AR minimum ...
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1 vote
101 views

### How can one infer the input signal $x[n]$ from the output $y[n]$ of an LTI system with known Gain and Phase Response

I have the gain response of an amplifier and its phase response curves, in an appropriate frequency range. I also have a set of output (from the system) discrete data $y[n]$. How would one go about ...
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1 vote
203 views

### Prove that the filter is stable, causal and minimum phase

I have a system which has the following transfer function $$H(s)=\frac{\beta + s}{s^{2} + 2\alpha s + \beta^{2}}$$ where $\beta = \sqrt{\omega^{2} + \alpha^{2}}$ and $\alpha>0$. This system, as ...
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240 views

### How to solve Hilbert Transform with empirical discrete data in frequency domain?, from zero to infinity

I have a filter/LTI system frequency response in form of list of values in the frequency domain. I want to get the phase curve/data from magnitude data. Input data can have either linear spaced points ...
635 views

4k views

### Derive minimum phase from magnitude

With the desired magnitude of a transfer function in the frequency domain in C++ as described below what is the correct corresponding minimum phase? In general how does one derive the correct minimum ...
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