An adaptive filter is a filter that self-adjusts its transfer function according to an optimization algorithm driven by an error signal.

203 questions
Filter by
Sorted by
Tagged with
1 vote
86 views

### Does Filtering changes the noise characteristics in a signal?

So, I tried out what i am learning in digital communication using GNU radio. The plan is to modulate two baseband signals(sine and cosine) 1kHz with no modulation protocol(don't know any(yet)) to a ...
• 11
1 vote
46 views

### decision feedback equalizer building blocks (from Adaptive Filters: Theory and Applications” a book by Behrouz Farhang-Boroujeny)

Here you can see building blocks of DFE from "Adaptive Filters: Theory and Applications” a book by Behrouz Farhang-Boroujeny in chapter 17. Figure 17.9 shows the overall building blocks of DFE ...
1 vote
38 views

### LMS filter always diverges on Cauchy data? [closed]

Suppose my data vectors $x$ consist of IID Cauchy values. Does LMS filter diverge for all values of step size $\alpha$? I tried some simulations and it appears so. Wondering if this is well-known or ...
1 vote
47 views

### RLS Adaptive Filter for estimating signal

I am currently working on a project where i am to estimate a signal x_T using x_1 and x_2 with an RLS filter. I have a problem where i don't quite get the results i am looking for. I think there is a ...
• 11
169 views

### Filtered-X LMS algorithm and built-in MATLAB implementation

I provide a short scheme for forward explanation: There are two sources: noise signal source and anti-noise signal source (2). Noise signal travels through primary path $h_{N_P}$ to microphone (4). ...
• 47
1 vote
43 views

I need to demonstrate that the estimation error in the LMS adaptive filter is white. The LMS equations are the following: $y(n)={\mathbf{\hat{w}}}(n)^H\mathbf{u}(n)$ $e(n)=d(n)-y(n)$ ${\mathbf{\hat{w}}... 1 vote 0 answers 141 views ### How to get an impulse response of a MIMO system? So I have data vectors from a MIMO system and I wish to see the impulse response Any idea how I can proceed with this? 0 votes 0 answers 101 views ### Cfar Algorithm Implementation I am trying to implementation Cfar algorithm to our radar signal processing algorithm. I obtained some output but I want to be sure that is right. Cfar algorithm's output below like, I'm interpreting ... 2 votes 0 answers 29 views ### Haykin - permissible region for asymptotic stationarity of 2 parameter AR process My question is about an example in Adaptive Filter Theory, Haykin 4th ed (refer figures 1.8 and 1.10 of Haykin). We want to determine the region for asymptotic stationarity of an AR process in the 2D ... • 23 3 votes 1 answer 95 views ### Adaptive filtering [duplicate] I want to mention upfront that I'm not very experienced in this field. I have a signal$u(k)$that I get from a black box simulation (sampled irregularly). The signal looks like this: The blue signal ... • 33 0 votes 1 answer 57 views ### What is limited this FXLMS performance This is simulation data flow: ... 1 vote 1 answer 51 views ### Modeling end-blown flute instrument using adaptive filter I want to find the resonant frequency of specific end-blown flute called Persian ney, Using LMS in arrangement of system identification. Two signal is needed for algorithm: system excitation (... 4 votes 1 answer 341 views ### Gradient descent algorithm not converging I wish to use the gradient descent algorithm to minimize the cost function $$J(\mathbf{w}) = (\mathbf{w} - \mathbf{w}_{o})^{T} \mathbf{A}(\mathbf{w} - \mathbf{w}_{o})$$ where$\mathbf{w} \in \mathbb{R}...
• 383
1 vote
80 views

When studying neural networks from Neural Networks and Learning Machines, by Simon Haykin, the author highlights the close similarity between of adaptive filtering and neural networks. From a scalar-...
33 views

### EEG filtration via EMG

i got little problem. I'm trying to detect HFOs in single channel EEG (the recording is multichannel, but there is not enough channels to use ICA) for my diploma thesis experiment and i want to first ...
128 views

### For which values of step size is LMS filter stable?

For which values of step size $\alpha$ is LMS filter stable? I Wikipedia information on this question is incorrect. For data sampled from zero-centered Gaussian in $d$-dimensions with identity ...
1 vote
373 views

### Kalman Filter Under Non-Gaussian Noise

I know that Kalman filter is optimal filter under some assumption like process and measurement noise are Gaussian. But if the process and measurement noise is non-Gaussian, the estimation of the ...
566 views

237 views

### How to derive the "well-known" solution to Unconstrained Array Gain?

Can someone point me to a webpage or other resource that shows how to analytically solve the beamformer Unconstrained Array Gain expression in Henry Cox's 1987 IEEE paper "Robust Adaptive ...
• 111
1 vote
458 views

### IIR Adaptive Filter in MATLAB

Suppose I have a IIR filter represented by $$G_0\left(z\right)=\frac{1}{1-0.2z^{-1}-0.1z^{-2}}$$ I would like to use the LMS algorithm to model an FIR filter $G\left(z\right)$ of order $N = 15$ such ...
• 303
166 views

### Channel equalization affect on input signal

I have the following problem. Am trying to understand how the channel block affects the input signal s(n). I know that x(n), the input signal to the filter is basically: x\left(n\...
• 303
107 views

### Variable Window Size of Blackman FIR filter

I am trying to implement an FIR filter with a Blackman window function. The solution I got for my signal filtering problem is to have different window sizes for certain characteristics of the input ...
1 vote
203 views

### How to evaluate fixed-point implementation of LMS filter is correct?

I am having an LMS block with 6 filter coefficients. The value of filter coefficients are 0.0001 0.00045 0.2535 0.546536 0.0000243 0.3423 I have tried to ...
• 315
86 views

### Region of the coefficients of a quadratic equation that cause the roots of it to be in the unit disk

From Simon Haykin's Adaptive Filter Theory: consider the characteristic equation is $1+𝑎_1𝑧^{−1}+𝑎_2𝑧^{−2}=0$, then for the roots to be inside the unit circle (i.e. in the unit disk), the ...
• 23
205 views

### Is it applicable to implement a cascaded moving average filter with variable window on real-time?

I am using a 3-pass cascaded moving average filter for smoothing noisy data. I applied some optimization algorithms to determine the optimal length of the MAF window. For different amplitudes of data ...
105 views

### Recommended Resources / Literature Search Terms for a Solutions to a Specific Kind of Multi Harmonic Signal Structure

Hopefully this isn't considered too off-topic. I'm working in industry these days and came up with a solution to a signal processing problem we'd been facing. I'd like to get a sense as to whether ...
75 views

### Block NLMS vs Affine Projection LMS

I am studying Block Normalized LMS, and when I compare this with Affine Projection LMS (if updated every M samples) I think that they are the same. I would really appreciate if anyone can point out if ...
• 131
1 vote
142 views

### The Stability of the RLS Algorithm for Equalization

I am reading in the litterature that LMS is more stable than RLS. But RLS is far more faster in convergence. So my concern is how to be sure that my RLS algorithm will be stable when I am doing ...
704 views

### Droop compensation - How to do it?

Lets say i have a LPF response that has some kind of droop (some attenaution in the passband, usually could be due to cic filter how to make CIC compensation filter,,,, or can also be due to large ...
• 105