Questions tagged [linear-phase]
The linear-phase tag has no usage guidance.
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Difference between MSK and CPSK
I'm trying to understand the differences between the MSK and CPSK transmission, but I am not understanding some things about it.
I understood that they are two signals without discontinuity, but what ...
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Matlab: How to design digital equivalent for a lowpass Bessel filter (Thiran filter)?
In the process of applying a lowpass Bessel filter to my signal, I realized that besself function does not support the design of digital Bessel filters and the bilinear function can be used to convert ...
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subquestion 2 : original Q "Difference between MSK and GMSK?"
if we talk about a modulation, we mention a linear and nonlinear modulation.
GMSK is nonlinear modulation, but it can be derived from a linear modulation as MSK, PAM and we talk about a linear ...
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Why can't quantum phase noise in radio astronomy amplifiers just be filtered out after down conversion, instead of down-converting first?
In the related Astronomy SE questions below and their answers, it has become apparent that radio telescope arrays down convert their highest frequency bands before the first stage of amplification.
...
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Issue Understanding Time Delay of a Digital Filter
I am new to the world of digital filters and am educating myself with the book Introduction to Digital Filters by J.O Smith III,. The author derives the frequency response of a very simplistic filter:
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Frequency Sampling Filters (FSFs) NOT the Frequency Sampling Method
A class of digital filters called Frequency Sampling Filters (FSF) has been mentioned in a side note by Richard Lyons in another related question comparing IIR digital filter design using mapping ...
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Minimum Phase - All Pass Decomposition For Large Linear Phase Filters
UPDATE:
I am looking for a robust approach to decompose linear phase FIR filters with 100s of coefficients into its minimum phase and all pass components.
I originally thought determining all the ...
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Combination of type I FIR linear-phase systems
Let $h_1[n]$ and $h_2[n]$ be impulse responses of type I FIR linear-phase systems with lengths $M$ and $N$. What can be said about the phase response of the following filters?
$h_3[n] = h_1[n] + h_2[...
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Equivalence between the linear phase of FIR filters and the (anti)symmetry of the coefficients
According to the Matt L.'s answer to this question, real-valued and causal FIR filters have a (generalized) linear phase response if and only if their coefficients satisfy (anti)symmetry condition. ...
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Arbitrary phase FIR filter design
I would like to design an FIR filter using the frequency sampling method with nonlinear phase specifications. For example, between $0$ and $\frac{f_s}{4}$ a phase of $180^\circ$ and between $\frac{f_s}...
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Determine group delay from the frequency response of FIR filter
I have a issue to find out, is there any way that one can determine a group delay from frequency response of the FIR filter. Let's say I have I type FIR filter with order of 51. Frequency response ...
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What is the significance of the linear phase in the phase response of an M-point moving average filter?
I have plotted the magnitude and the phase responses of an M-point moving average filter, the following are the plots when M = 10:
We can observe that corresponding to every lobe in the magnitude ...
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Delay a signal in time vs in frequency
I have a signal h that I want to delay for a time t.
I know that I could use two possible approaches:
$h_{\text{delay}}[k] = \...
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What is the reason behind complex conjugate pairs in Linear Phase FIR filter analysis from the Pole Zero plot
When we say that a Generalized Linear Phase System must satisfy the pole zero plot with the condition that a complex zero not on the unit circle exist's in a pair of 4. Then I understand that I need ...
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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:
$$y[n] = ax[n+1] + ...
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Design FIR with linear phase response
What is the best way to design a FIR filter with a given linear phase response, such that each frequency inside the passband is phase shifted according to:
$$H(f)=e^{i2\pi f k}$$
where $k$ is factor ...
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Resampling FIR coefficients
I have received from a client a 32-coefficient FIR filter running at 1 kHz. I would like to adapt the filter to a 24-coefficient FIR filter running at 750 Hz while preserving the 0-375 Hz frequency ...
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What is the phase response of SRRC/NRZ/RZ pulse shapping filters and does it matter?
So I would like to know if filters usually used for pulse shaping (like SRRC) have a linear phase response, and if not, what this response looks like and does it matters in any circumstances?
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How should we read FIR filter phase response graph?
What should we see from the FIR phase response graph, as an example for a linear phase? And what does this straight line at $0.5\pi$ mean?
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Applications for the Maximum Phase Filter
A maximum phase digital filter has all zeros outside the unit circle, and has the maximum phase and therefore longest delay for a given magnitude response.
Besides the possibility of needing a ...
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Why can't realisable IIR filters have linear phase?
I am studying IIR Filter Design and came across this arbitrary statement in my textbook which says that 'physically realisable and stable IIR filters can not have linear phase'. Would really ...
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How to properly smooth the phase of a spectrum (or any unit-complex function)
I want to smooth the phase of a measured (transfer) spectrum without destroying unit-complexity of the phase factor. Suppose
$$f:\mathbb{R}\to \mathbb{C}\qquad , \qquad f(\omega)=r(\omega)\cdot {\rm e}...
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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 ...
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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, ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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
$$q_{1,2} = -2 \pm 2j$$
$$q_{3} = -\...
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Linear phase FIR filter for impulse responses that don't appear symmetric
I would like to clarify some confusion I have about linear phase FIR filters of which do not seem to have symmetric impulse responses.
Starting with a simple case, a delay, $ h[n] =\delta(n-n_0) $ ...
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How to prove a filter has linear phase response?
I have designed an FIR filter to have linear phase response using odd-symmetry design. The coefficients of this filter are {2,1,3,1,0,-1,-3,-1,-2}. I am now being asked to prove it has linear phase ...
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Is ideal band pass filter (brick wall filter) linear phase? [duplicate]
I'm very new in digital signal processing.
I have multiple sensors and the way I filters the signals in post processing is:
take FFT of the signals.
put zero on out range of interesting frequency (...
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Phase plot of $H(e^{j\omega})=(1-re^{-j\omega})\left(1-\dfrac{1}{r}e^{-j\omega}\right)$, $0<r<1$
I want to find the phase plot of $H(e^{j\omega})=(1-re^{-j\omega})\left(1-\dfrac{1}{r}e^{-j\omega}\right)$, $0<r<1$ for the interval $0\leq \omega \leq \pi$.
Method 1:
$H(e^{j\omega})=1-\left(...
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Downsampling impact on complex phase
For my application, I have to downsample a bandpass complex signal which spectrum is located on the second Nyquist zone.
Knowing that this processing will cause a spectrum inversion, what would be ...
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Mean delay for a M tap harmonically weighted filter
I am trying to derive the mean delay for $M$ filter taps harmonically weighted:
$$y[n] = \frac{M\,x[n] + (M-1)x[n−1]... + 1 \cdot x[n−M+1]}{\tfrac12 M (M + 1)}$$.
For a uniformly weighted filter, I ...
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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....
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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 ...
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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 ...
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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....
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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; ...
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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?
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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 ...
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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]$$ We also know that it has linear phase with group delay of $n_0$
.
In general, a FIR filter with symmetric (or anti-...
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Filters using equiripple approximations (different from type I lowpass)
In Oppenheim & Schafer's Discrete-Time Signal Processing, only type I lowpass filters are explained in detail in the chapter "Optimum Approximations of FIR filters".
I want to know what ...
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Effect of zero padding an odd symmetric FIR filter in the time domain
I have a symmetric lowpass FIR filter with 1149 time domain taps (all real coefficients). For implementation purposes, it would be easier if the filter had 1200 taps.
Since it has an odd number ...
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Regarding the advantages of generalized linear phase filters
I know that for a linear-phase filter with frequency response given by
$$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[...
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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?
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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 ...
