# Questions tagged [group-delay]

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### Phase compensation using IIR allpass filters

As an exercise with IIR allpass filters, I am trying to compensate the phase of a lowpass Linkwitz-Riley filter using the Matlab integrated function iirgrpdelay. The code I am using is the following: <...
90 views

### How to calculate and compensate group delay caused by channel and how to define group delay to wideband signal?

Suppose a wideband signal is sent and received by a RX. If different frequency components travel in different speed then there exists group delay in the signal, right? Not consider the multipath ...
62 views

### How does rate reduction work in a decimator with even valued gain?

Cascaded integrator-comb (CIC) filters are used in decimators, and decimators with a gain that is a power of 2 are popular (at least at my workplace) because the gain can be normalized with a right ...
1 vote
255 views

### IIR Filter order vs group delay

From what I understand FIR filter order is same as it's group delay because of the linear phase and every frequency being delayed by same amount. For IIR filter, filter order only tells that filter ...
1 vote
120 views

### Possible error when finding group/phase delay in scipy

After designing a "least square optimal" FIR filter I wanted to find the group/phase delay, defined as: $P(\omega) \triangleq - \frac{\Theta(\omega)}{\omega}$ (Depending on the literature ...
229 views

### Group delay and number of zeros for a symmetric FIR system

I am studying for an exam and need help on a question on the study guide. The question is given below. A symmetric FIR system $h[n]$ extends from $n=7$ to $n=11$. a) What is the group delay? b) How ...
99 views

### Link between maximum delay of cross-correlation and phase velocity

I try to express the relation between: the delay obtained by maximizing the cross-correlation between two signals $x$ and $y$ noted $\tau_{x,y}$ and the phase velocity noted $v_p(\omega)$ In the ...
1 vote
97 views

### Cascading IIR filter with All pass filter (APF) for constant group delay and linear phase over the passband using MATLAB not working?

I've designed an IIR Low pass filter in MATLAB with the following parameters. ...
1 vote
144 views

### Slope of phase function

Would appreciate some help understanding if I take the phase function of some transfer function and derivative it in the linear part of it which is around the resonant frequency what does this slope ...
35 views

### Does flat group delay bandwidth of a Thiran filter increase with increase in filter order?

Experimentally, it does seem that for a Thiran allpass delay filter of desired low-frequency group delay $D$ with filter order $N$, increase in filter order $N$ increases bandwidth of the frequency ...
58 views

### Does a FIR filter $H(z)$ with maximally flat passband group delay response satisfy $|H(e^{i\omega})| \leq 1$? [closed]

From this paper (Maximally flat low-pass FIR filters with reduced delay) and others, I know that it is possible to impose maximally flat passband group delay response constraints. Suppose that I do ...
104 views

### Stability of N-order Thiran delay filter when required passband delay is N+1

In this lecture note, on page 7 (or page 111, the same page), it is said that the Thiran allpass delay filter of order N with passsband delay N+1 reproduces samples with zero error. I find it hard to ...
256 views

### Alternative derivation for a Thiran filter

Following this reasoning (link on ee.se) I'm trying to derive the transfer function for a Thiran filter, but I get stuck. I know of the original paper, I just thought I'd go this way. This is what I'm ...
379 views

### Group delay compensation for non coincident drivers

Suppose I have a two-way speakers system which can be modeled as a two-way Linkwitz-Riley crossovers network with impulse responses $h_{lp}(n)$ and $h_{hp}(n)$. I would like to equalize the group ...
80 views

### Best way convert transfer function to FIR filter without group delay if i have complex transfer function data

when i calculate acoustic transfer function, system identification using adaptive fir filtering is usually used and that have not tap/2 group delay maybe. in simulation if i have complex number of ...
458 views

### 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: ...
1 vote
128 views

### Is the filter $1/(1-s)$ anti-causal?

The filter with the response function $$H(s) = \frac{1}{1 - s}$$ Produces a positive phase shift and a negative group delay for all frequencies Is it anti-causal? Is there a way to deduce such ...
1 vote
37 views

### Group Delay of a GLP [closed]

I am trying to understand what is the Group delay from a given figure. I was given an assignment with the following figure: and was asked the following: "what is the group delay (in the passband ...
47 views

### Audio crackles with delay in series

I am learning to write audio plugins using VST3 sdk. I have an issue implementing 2 delays in serie, the audio starts crackling. Here is the processing code: ...
68 views

### Varying shift between microphone data

I had given a sine wave of frequency 2kHz as input to two microphones placed near to each other. The data grabbed by two microphones are then plotted in MATLAB and it was found out that the initial ...
192 views

### How do large tap counts effect FIR Filters for block data?

I am using the ARM CMSIS DSP library for a signal processing application. I find good filter performance when using tap counts that are in excess of 10% of the length of my data block. I understand ...
1 vote
187 views

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