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                                                  A SEMINAR  
                                                      ON
                                      “ Use Of DFT In Power
                                          Spectral Estimation”
                                                 Presented By:
                                               Mr. Pratik A. Bhore
                                           
                                          Conducted By:
                                      Prof. Mangesh Kakde

                             Abha Gaikwad Patil College Of
                                   Engineering,Nagpur.
                 CONTENT
 What Is DFT?


 Power Spectral Estimation:
 The periodogram Analysis
 Autocorrelation Analysis
               What Is DFT?

It is a specific kind of discrete
 transform use in a fourier
 analysis.
It transform one function into
 another which is called as
 frenquency domain or DFT.
Discrete Fourier Transform
 require input function that is
 discrete.
 Ex: Input Created by sampling,
     such as “person voice”.
  Power Spectral Estimation
Purpose is to obtain
 approximate Estimation of
 power spectral density.

It can be estimated using DFT.
There are two basic
approches:
The Periodogram
 Analysis

Autocorrelation
 Analysis
The Periodogram Analysis
  The Periodogram is defined as,


                                            2
              jω1         N −1
                          − jnω
     I N (e ) =   ∑ x[n]e
                N n =0

                          N−1              N−1
                      1
     I N (e   jω
                   )=
                      N
                          ∑x[n]e
                          n =0
                                   − jnω
                                           ∑x[ r ]e jrω
                                           r =0
Autocorrelation Analysis
             N −1− m
     ρ xx [m] = ∑ x[n + m ]x[n]
              n =0

   Which we shall call the 
   autocorrelation sequence of this 
   shorter signal.
  
  Thank You

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Use Of DFT In Power Spectral Estimation

  • 1.       A SEMINAR   ON “ Use Of DFT In Power     Spectral Estimation” Presented By: Mr. Pratik A. Bhore                                                                                       Conducted By:                                       Prof. Mangesh Kakde                              Abha Gaikwad Patil College Of                                    Engineering,Nagpur.
  • 2.                  CONTENT  What Is DFT?  Power Spectral Estimation:  The periodogram Analysis  Autocorrelation Analysis
  • 3.                What Is DFT? It is a specific kind of discrete transform use in a fourier analysis. It transform one function into another which is called as frenquency domain or DFT.
  • 4. Discrete Fourier Transform require input function that is discrete. Ex: Input Created by sampling, such as “person voice”.
  • 5.   Power Spectral Estimation Purpose is to obtain approximate Estimation of power spectral density. It can be estimated using DFT.
  • 6. There are two basic approches: The Periodogram Analysis Autocorrelation Analysis
  • 7. The Periodogram Analysis The Periodogram is defined as, 2 jω1 N −1 − jnω I N (e ) = ∑ x[n]e N n =0 N−1 N−1 1 I N (e jω )= N ∑x[n]e n =0 − jnω ∑x[ r ]e jrω r =0
  • 8. Autocorrelation Analysis N −1− m ρ xx [m] = ∑ x[n + m ]x[n] n =0 Which we shall call the  autocorrelation sequence of this  shorter signal.