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

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### 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 ...
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### 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). ...
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I need to demonstrate that the estimation error in the LMS adaptive filter is white. The LMS equations are the following: $y(n)={\mathbf{\hat{w}}}(n)^H\mathbf{u}(n)$ $e(n)=d(n)-y(n)$ ${\mathbf{\hat{w}}... 1 vote 0 answers 102 views ### How to get an impulse response of a MIMO system? So I have data vectors from a MIMO system and I wish to see the impulse response Any idea how I can proceed with this? 0 votes 0 answers 71 views ### Cfar Algorithm Implementation I am trying to implementation Cfar algorithm to our radar signal processing algorithm. I obtained some output but I want to be sure that is right. Cfar algorithm's output below like, I'm interpreting ... 2 votes 0 answers 28 views ### Haykin - permissible region for asymptotic stationarity of 2 parameter AR process My question is about an example in Adaptive Filter Theory, Haykin 4th ed (refer figures 1.8 and 1.10 of Haykin). We want to determine the region for asymptotic stationarity of an AR process in the 2D ... 3 votes 1 answer 74 views ### Adaptive filtering [duplicate] I want to mention upfront that I'm not very experienced in this field. I have a signal$u(k)$that I get from a black box simulation (sampled irregularly). The signal looks like this: The blue signal ... 0 votes 1 answer 55 views ### What is limited this FXLMS performance This is simulation data flow: ... 1 vote 1 answer 48 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 332 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}...
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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-...
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### 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 ...
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### 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 ...
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219 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 ...
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### Implementing the NMCFLMS Algorithm for a 2 channel WGN input signal

I am just trying to implement the Normalised Multi-channel Frequency Domain Least Mean Square (NMCFLMS) algorithm for a simple 5 tap filter to estimate the filter coefficients of a 2 channel system ...
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### 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 ...
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421 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 ...
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### 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: \begin{equation} x\left(n\...
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ... 591 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 ...