# Tag Info

### Adaptive filtering: Optimum filter length and delay

In order to be able to choose an optimal value for the delay $\Delta$ it's important to understand how the system works. The purpose of the delay is to decorrelate the desired signal $s(n)$ and the ...
• 91.2k
Accepted

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

I think you are mixing the estimated, real and modelled responses. You can kinda safely assume that the real transfer functions $h_{N_{p}}$ and $h_{N_{s}}$ are never known. This, of course, is in the ...
• 1,353
Accepted

### Gradient descent algorithm not converging

Your step size is too large. The upper limit $2/\lambda_{max}$ for the step size $\mu$ is valid if the update is defined as $$\mathbf{w}_{k+1}=\mathbf{w}_{k}-\frac{\mu}{2}\nabla J(\mathbf{w}_k)$$ The ...
• 91.2k

### Algorithm for "adaptive phase rotation" in iZotope RX 8

This is an interesting topic. I assume that the goal can be expressed as designing a time-variant allpass filter (phase distortion) that minimize amplitude peaks while retaining the frequency ...
• 3,555

### Is a neural network an adaptive filter?

An adaptive filter is a special case of a neural network (NN). They have in common that they multiply an input x[n] with weights w[n], the result y[n]=x[n]w[n] is compared to the target t[n] (e.g. the ...

### Regarding the choice of cost function in adaptive control - squared error vs absolute error

This is an interesting question since both squared error and absolute error are convex functions, so they are both going to give the optimal solution when minimized. My intuition is that the $\ell_2$-...
• 637
Accepted

• 321
1 vote

### Upsampled input to an Adaptive filter?

Prior to upsampling, you have a white signal meaning every single frequency in the Nyquist bandwidth from $-\pi$ to $\pi$ is represented. This is a requirement to obtain an impulse (because the ...
• 1,422
1 vote

### How the Gain Term $K \left( n \right)$ Is Derived? Why Is It Called Gain?

In all adaptive signal processing schemes, be it a Least Mean Squares (LMS), Recursive Least Squares (RLS) or a Kalman Filter, The fundamental concept is the update of some parameter: such as the ...
• 28.4k
1 vote