Questions tagged [linear-phase]
The linear-phase tag has no usage guidance.
61
questions
0
votes
3answers
47 views
Does converting an FIR filter from causal to non-causal remove phase delay?
Let's say I have a causal 3-tap FIR filter:
$$y[n] = ax[n] + bx[n-1] + cx[n-2]$$
Assuming I have access to all the data prior to filtering and generate a similar non-causal filter:
$$y[n] = ax[n+1] + ...
0
votes
1answer
46 views
Design FIR with linear phase response
What is the best way to design a FIR filter with a given linear phase response, such that each frequency inside the passband is phase shifted according to:
$$H(f)=e^{i2\pi f k}$$
where $k$ is factor ...
1
vote
1answer
68 views
Resampling FIR coefficients
I have received from a client a 32-coefficient FIR filter running at 1 kHz. I would like to adapt the filter to a 24-coefficient FIR filter running at 750 Hz while preserving the 0-375 Hz frequency ...
1
vote
1answer
22 views
What is the phase response of SRRC/NRZ/RZ pulse shapping filters and does it matter?
So I would like to know if filters usually used for pulse shaping (like SRRC) have a linear phase response, and if not, what this response looks like and does it matters in any circumstances?
2
votes
1answer
93 views
How should we read FIR filter phase response graph?
What should we see from the FIR phase response graph, as an example for a linear phase? And what does this straight line at $0.5\pi$ mean?
2
votes
1answer
69 views
Applications for the Maximum Phase Filter
A maximum phase digital filter has all zeros outside the unit circle, and has the maximum phase and therefore longest delay for a given magnitude response.
Besides the possibility of needing a ...
4
votes
1answer
439 views
Why can't realisable IIR filters have linear phase?
I am studying IIR Filter Design and came across this arbitrary statement in my textbook which says that 'physically realisable and stable IIR filters can not have linear phase'. Would really ...
1
vote
2answers
119 views
How to properly smooth the phase of a spectrum (or any unit-complex function)
I want to smooth the phase of a measured (transfer) spectrum without destroying unit-complexity of the phase factor. Suppose
$$f:\mathbb{R}\to \mathbb{C}\qquad , \qquad f(\omega)=r(\omega)\cdot {\rm e}...
5
votes
4answers
476 views
Examples where non-linear phase filters are used
I stumbled apon this old question:
Why is a linear phase important?
There the explanation of why linear-phase processing (filtering) is important is very clear. Also the effects on waveforms due to ...
0
votes
1answer
50 views
FMCW radar: Linear phase change determination with sinusoidal decomposition
I am struggling to understand how linear phase shift can be determined with a transform whose main purpose is to determine frequencies rather than rate of change of a function.
In FMCW radar, ...
0
votes
2answers
120 views
How does one make a Zero Latency, Linear Phase, or Natural Phase filter?
Looking at FabFilter's ProQ3 plug-in, they have an option at the bottom of the window to switch between Zero Latency and Linear Phase modes (and I think a Natural Phase option too).
I'm familiar with ...
0
votes
1answer
47 views
Is this phase response linear phase?
Would the following frequency response be considered linear phase? I know that linear phase is when the phase response is a linear function of frequency. However, the phase response is only linear ...
0
votes
1answer
97 views
FIR Linear Phase Condition
This is the linear phase condition for FIR filters as expressed by my prof:
I don't understand why $G(f)$ can be negative. Isn't the Fourier transform expressed in polar form ? So the magnitude is ...
0
votes
1answer
28 views
Constraints for Type 3 Linear Phase Filter
This might be a strange question - but most of the Type 3 LPF I'm seeing are having this in common for $h[n]$, assuming $h[n]$ is real:
We cannot have outermost element of h[n] lower than middle ...
4
votes
1answer
157 views
Group Delay for Hilbert Transformer and Resulting Dispersion
An ideal Hilbert Transformer shifts the phase for all positive frequencies by $-\pi/2$ and all negative frequencies by $+\pi/2$ while maintaining constant magnitude everywhere. Group Delay is the ...
0
votes
1answer
118 views
How to Determine if FIR has a Linear_Phase Response w/o Matlab
Given the FIR transfer function:
h(z) = $ .36 + .384z^{-1} + .1608z^{-2} +.9712z^{-3} + .352z^{-4} + .18z^{-5} - .2z^{-6} $
How do you determine if this transfer function has a linear - phase ...
0
votes
1answer
336 views
Finding remaining zeros of linear phase FIR filter
Question given is: if $h(n)$ is a linear phase causal FIR of order $10$ with real coefficients, find the remaining zeros of this filter if the zeros given are
$$q_{1,2} = -2 \pm 2j$$
$$q_{3} = -\...
2
votes
1answer
162 views
Linear phase FIR filter for impulse responses that don't appear symmetric
I would like to clarify some confusion I have about linear phase FIR filters of which do not seem to have symmetric impulse responses.
Starting with a simple case, a delay, $ h[n] =\delta(n-n_0) $ ...
0
votes
1answer
887 views
How to prove a filter has linear phase response?
I have designed an FIR filter to have linear phase response using odd-symmetry design. The coefficients of this filter are {2,1,3,1,0,-1,-3,-1,-2}. I am now being asked to prove it has linear phase ...
0
votes
1answer
767 views
Is ideal band pass filter (brick wall filter) linear phase? [duplicate]
I'm very new in digital signal processing.
I have multiple sensors and the way I filters the signals in post processing is:
take FFT of the signals.
put zero on out range of interesting frequency (...
1
vote
1answer
65 views
Phase plot of $H(e^{j\omega})=(1-re^{-j\omega})\left(1-\dfrac{1}{r}e^{-j\omega}\right)$, $0<r<1$
I want to find the phase plot of $H(e^{j\omega})=(1-re^{-j\omega})\left(1-\dfrac{1}{r}e^{-j\omega}\right)$, $0<r<1$ for the interval $0\leq \omega \leq \pi$.
Method 1:
$H(e^{j\omega})=1-\left(...
1
vote
1answer
742 views
Downsampling impact on complex phase
For my application, I have to downsample a bandpass complex signal which spectrum is located on the second Nyquist zone.
Knowing that this processing will cause a spectrum inversion, what would be ...
2
votes
2answers
432 views
Mean delay for a M tap harmonically weighted filter
I am trying to derive the mean delay for $M$ filter taps harmonically weighted:
$$y[n] = \frac{M\,x[n] + (M-1)x[nā1]... + 1 \cdot x[nāM+1]}{\tfrac12 M (M + 1)}$$.
For a uniformly weighted filter, I ...
0
votes
0answers
156 views
Bandpass Fractional Delay Filter
I am designing a fractional delay filter, I found this code for lagrange FIR fractional delay filter, The fractional delay filter acts as a low pass filter, it passes low frequencies from 0 to 0.25*fs....
0
votes
1answer
170 views
If group delay is a constant for all $\omega$, Does this system have a linear phase response?
I want to know if a system has a linear phase response using frequency response of this system.
So I got phase response of it and also group delay.
and after that I got to know that if group delay ...
0
votes
2answers
147 views
How do I show an impulse response leads to a zero-phase frequency response?
I'm trying to understand how to show that with real coefficients, the phase response of a filter is 0. Here is the impulse response
$h[n] = b_1d[n+1] + b_0d[n] + b_1d[n-1]$
How should I approach ...
-1
votes
1answer
48 views
Phase response approaches towards the zeros
Phase response is the relationship between the phase of a
sinusoidal input and the output signal passing through
any device that accepts input and produces an output
signal, such as filter.https://en....
3
votes
2answers
1k views
Matlab `filtfilt` provides excessive transient
I observed that filtfilt suffers from an undesired behavior when I provide IIR bandpass filters having steep transition bands. Specifically, the output signal exhibits excessive transient response; ...
3
votes
3answers
202 views
Why make the phase of an FIR filter linear?
I am new to DSP and filter design. It is easy to design an FIR filter with linear phase by making the coefficient sequence symmetric. However, why make the phase linear?
1
vote
1answer
164 views
Why are linear phase filters called so, if they provide Constant delay instead of linear
Linear phase filters delay all frequencies by the same amount. Why aren't they called Constant phase filters instead of Linear phase?
As I understand, if there is an input signal with two components ...
0
votes
2answers
117 views
Why does a simple delay system with $h[n]=\delta[n-n_0]$ have a linear phase?
Let's consider a simple delay system with impulse response $$h[n]=\delta[n-n_0]$$ We also know that it has linear phase with group delay of $n_0$
.
In general, a FIR filter with symmetric (or anti-...
1
vote
1answer
78 views
Filters using equiripple approximations (different from type I lowpass)
In Oppenheim & Schafer's Discrete-Time Signal Processing, only type I lowpass filters are explained in detail in the chapter "Optimum Approximations of FIR filters".
I want to know what ...
0
votes
3answers
970 views
Effect of zero padding an odd symmetric FIR filter in the time domain
I have a symmetric lowpass FIR filter with 1149 time domain taps (all real coefficients). For implementation purposes, it would be easier if the filter had 1200 taps.
Since it has an odd number ...
2
votes
1answer
276 views
Regarding the advantages of generalized linear phase filters
I know that for a linear-phase filter with frequency response given by
$$H(e^{j\omega}) = |H(e^{j\omega})|e^{j\phi(\omega)} $$
if the input of the system is
$$x[n] = s[n]\cos[\omega_0 n] $$
where $s[...
8
votes
2answers
3k views
Why do linear phase filters have symmetric impulse responses?
It was given as a fact that linear phase filters have symmetric impulse responses, but I don't see why that has to be true. Can somebody please explain or prove this?
1
vote
1answer
2k views
Differences between phase and group delay
Yet another group delay vs. phase delay question! Though this is a question that's been asked several times I don't feel like it's been fully discussed so I'll post an example that I can't quite seem ...
2
votes
1answer
586 views
FIR to linear-phase FIR
I am trying to convert an FIR impulse into linear-phase FIR impulse, I need to remove the phase response, so when it is applied to a sound it only changes the amplitude response.
Here is my code ...
1
vote
1answer
423 views
Transform minimum phase FIR into linear phase FIR
I've seen examples of transforming a linear phase FIR into a minimum phase FIR, but is there a simple process to transform a minimum phase FIR into a linear phase FIR?
I would like to end up with a ...
3
votes
1answer
1k views
Why is there little emphasis on phase distortion?
I have a question regarding the frequency response of digital filters. Specifically the phase aspect of the frequency response.
Why do we not seem to care about the nonlinear phase response in ...
2
votes
1answer
711 views
Transform linear-phase FIR to minimum-phase FIR
Given a FIR filter (non-causal) with phase zero and real coefficients given by $$H(z) = \sum_{n=-M}^{M}h[n]z^{-n}$$ with ripple $\delta_2$.
How can I obtain a filter $H_{{\rm min}}(z)$ of minimum ...
1
vote
0answers
699 views
When do you use a minimum-phase filter over a linear-phase filter
Q1) I have understood that linear-phase filters have more delay time whereas minimum phase filters implement a lesser delay time but introduce phase distortion artifacts which linear-phase filters ...
3
votes
2answers
734 views
Are the 4 types of linear phase FIR filters the only linear phase FIR filters one can come up with?
Basically my question is the same as the title: Are the 4 types of linear phase FIR filters the only linear phase FIR filters one can come up with? And if so, then why?
I'm pretty sure that they are ...
1
vote
3answers
156 views
Transfer function of linear phase filter & its frequency domain representation
Text of my exercise request:
Determine the transfer function $H(z)$ of a causal linear phase FIR filter with zeros at $z= \frac{1}{3}$ and $z=-2$. The value of the impulse response at $n=0$ equals $...
2
votes
1answer
5k views
Phase response of moving average filter — how to interpret?
There are many articles on the frequency response of the moving average filter but they all seem to focus on magnitude. However the phase response is intriguing and I find it hard to interpret. The ...
0
votes
2answers
470 views
Fourier transform of a sum
I have a function :
\begin{equation}
C(t)=\left(1.42*\exp^{-1.192t}- 12.44*\exp^{-1.192t} +11.02 \right) u(t)
\end{equation}
where u(t) is a unit-step function
What is its fourier transform? a step by ...
3
votes
1answer
1k views
FIR filter phase response
With reference to the diagram below, is it correct to say that at the pass band the phase response is linear. It also remains linear in the stop band but it get chunks of Ļ. These jumps happen when ...
0
votes
1answer
143 views
Sketching Phase Spectra Using Group Delay and Magnitude Spectra Informations
I have only magnitude spectra and group delay information and I need to sketch phase spectra from this information. For example, group delay is given like this: $\tau_{g}(\omega) = c$ where c is a ...
1
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0answers
455 views
Phase Linearization
Does anyone know of some simple algorithms to linearize the phase response of a filter. I have a notch filter with a non-linear phase response. I basically need an all pass filter (so that the ...
0
votes
1answer
53 views
what is the relation between a minimum phase system and a FIR system? [closed]
I want to see whats the relation between being an FIR system and a minimum phase system and when an FIR system can be minimum phase too with respect to have linear phase
0
votes
2answers
2k views
Causal and minimum phase
I have couple of questions?
Is there a relationship between a FIR filter being minimum phase/mixed phase and being causal?
Is there a relationship between a FIR filter being minimum phase/mixed phase ...
