# Questions tagged [linear-prediction]

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### prediction error in AR model

Stoica, Petre, and Randolph L. Moses. "Spectral analysis of signals." (2005) page 91 eq. 3.4.7 describes $y(t)$ as autoregressive process of order $n$ by Here, $e(t)$ is the system input ...
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### What do coeffcients mean from Matlab?

I ask for a brief explanation of each coefficient and their sources of related information. Thank you very much in advance. The coefficients comes from this code below: I've got a robust linear ...
86 views

### Finding the linear prediction coefficients for a sampled sinusoid

I am unable to work my way through this problem - A sinusoid with random phase is given as 𝑦(𝑛) = 2 sin(0.25π𝑛 + 𝜃). If this signal is sampled at 10 KHz, estimate the coefficients of a second ...
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### Division by zero in Levinson–Durbin recursion?

I am doing a LPC analysis of a speech signal using the autocorrelation method. To calculate the LPCs I am using the Levinson–Durbin recursion. In my literature the error is initialized with the first ...
226 views

### Spectral Whitening: Approches

Given the absence of information about the algorithms of spectral whitening functions in software packages: How many ways do you know for doing spectral whitening? What are the differences?
399 views

### pitch extraction for speech

I am building an LPC analysis tool, and am at the point of needing to do pitch period analysis. I was initially interested in using the Gold & Rabiner algorithm for this, and got a hold of a ...
217 views

### Linear Predictive Coding and Block Size

I'm experimenting with linear predictive coding as a low-complexity audio compression method, and I'm observing something very odd. I'm compressing a 20 MB mono 16-bit PCM song in different block ...
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### Is there any relationship between the FFT and linear prediction?

Is there any relationship between the FFT and linear predictive methods? Can an FFT result or the input to an FFT be modified to do non-circular prediction/extrapolation from the FFT results.
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### Adaptive calculations of Wiener filter coefficients

Suppose,I have an input of length of lenght 100. data=[x0...x99]; I take a window of lenght 11 from x0 to x10. windowed data=[x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10], now, I compute 7 wiener coefficients ...
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### Adaptive Wiener Filter Coefficients Calculation

I want to extrapolate a signal X of length 11, using the weiner filter coefficients W of length 7. The procedure I am using is as follows: Compute the autocorrelation matrix upto lag 8 . Using ...
1k views

### Derivation of Yule-Walker Equation for LPC

I have derived the Yule-Walker equation as shown below. \begin{align} \hat s(n) &= -\sum_{k=1} ^ p a_k s(n-k)\\ e(n) &= s(n) - \hat s(n) = s(n) + \sum_{k=1}^pa_k s(n-k) \end{align} In order ...
120 views

### Voice sample prediction scheme

I have some telephone voice audio with occasional "blips" in the audio. The blips appear to come from an IP link buried in the PSTN (this is a conceptual explanation, so don't worry about things like ...
341 views

### Linear predictive model convolution

Accidentally asked this question in the general area and was told to ask here, so... I've been trying to develop a lightweight, relatively-fast-to-decode sound compression format for use in my gaming ...