Like this presentation? Why not share!

- Yule walker method by SARBJEET SINGH 5647 views
- non parametric methods for power sp... by Bhavika Jethani 1729 views
- AR model by SARBJEET SINGH 935 views
- MPEG-1 Part 2 Video Encoding by Christian Kehl 709 views
- Bartlett's method by SARBJEET SINGH 3756 views
- Linear prediction by Nikolay Karpov 784 views

No Downloads

Total Views

2,625

On Slideshare

0

From Embeds

0

Number of Embeds

0

Shares

0

Downloads

124

Comments

0

Likes

1

No embeds

No notes for slide

- 1. BURG METHOD PRESENTED BY :- Sarbjeet Singh NITTTR-Chandigarh
- 2. CONTENTS INTRODUCTION BURG METHOD ADVANTAGES OF BURG METHOD DISADVANTAGES OF BURG METHOD APPLICATIONS
- 3. INTRODUCTION A parametric method for power spectrum density estimation. A model for the signal generation can be constructed with a no. of parameters that can be estimated from observed data.From the model and estimated parameters, power spectrumdensity can be estimated.
- 4. BURG METHODAn order-recursive least-squares lattice method ,based on the minimization of the forward andbackward errors in linear predictors, with theconstraint that the AR parameters satisfy theLevinson – Durbin recursion.
- 5. BURG METHOD To derive the estimator, let the given data be x(n), n = 0, 1,………N-1 and let the forward and backward linear prediction estimates of order ‘m’ , be :-
- 6. BURG METHODForward error,Backward error,The least squares error is :-
- 7. This error is to be minimized by selecting the prediction coefficients , subject to the constraint that they satisfy the Levinson- Durbin recursion given by :- where is the mth reflection coefficient in the lattice filter realization.
- 8. The forward and backward prediction errors in terms ofreflection coefficients is given by :By substituting above equation into Levinson – DurbinRecursion and performing minimization w.r.t. reflectionCoefficient ,we get :
- 9. is an estimate of the cross correlation between the forward and backward prediction errors.As the denominator term is simply the least- squares estimateof the forward and backward errors, , so is an estimate of the total squared error .
- 10. From the estimates of the AR parameters, the power spectrum estimate is given by :-
- 11. ADVANTAGESHigh frequency resolutionStable AR modelComputationally efficient method
- 12. DISADVANTAGES Spectral line splitting occurs at high SNR Spurious peaks Frequency bias
- 13. APPLICATIONSFlood forecastingGeographical data processingRadar and sonarImagingSpeechRadio astronomyBiomedicineoceanography
- 14. REFERENCESDIGITAL SIGNAL PROCESSING, 4TH EDITIONBY JOHN G. PROAKIS.

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment