Power spectral density, Electrical Engineering

Power Spectral Density:

  • To introduce the Power Spectral Density (PSD) of a random signal.
  • To study classical methods for PSD estimation.
  • To investigate model-based methods for PSD estimation.

Exercises:

The Power Spectral Density (PSD) of an ergodic (i.e. time average statistics are identical to ensemble average statistics), discrete, random signal is the Fourier transform of its autocorrelation function, as given by

1233_Power Spectral Density.png

where xx( ) is the autocorrelation function for the discrete random signal x and is normalised frequency. This is also known as the Wiener-Khintchine theorem. To calculate this expression exactly requires knowledge of all the autocorrelation function values for the discrete random signal x. Given only a ?nite length data record, as in many practical problems such as speech and array processing, namely [ ] =0 1 -1 it is only possible to estimate this quantity.

One method to estimate the PSD is based on the Fast Fourier Transform (FFT). This method is called the periodogram, as defined by

818_Power Spectral Density1.png

Notice that the PSD is being estimated at N discrete-frequencies, which in terms of normalised frequencies corresponds to =0 1 ( -1) . The sampling interval T is implicity assumed, for convenience, to be unity.

Posted Date: 2/27/2013 5:55:42 AM | Location : United States







Related Discussions:- Power spectral density, Assignment Help, Ask Question on Power spectral density, Get Answer, Expert's Help, Power spectral density Discussions

Write discussion on Power spectral density
Your posts are moderated
Related Questions

Compute the ampacity of a 250 AWG copper conductor with type UF insulation that will be used in an area with an ambient temperature of 79°F (26°C). State the ampacity and explain h

Q. Give applications of emitter follower The emitter follower has the following principal applications: 1. To provide current amplification with no voltage gain 2. Impede

1. Data is to be transmitted using a modem at 9600 bps. Determine the minimum bandwidth of the system with the following modulation methods (a) FSK (b) ASK. Use the excess

i have to design a project title "Edge determining techniques for Low quality images in different lighting conditions and we use matlab for images simulation by changing different

AC Machines: We have learnt the fundamental concepts of the transformer, induction motors and special type fractional kilowatt (kW) machines. In the section of transformer you

Certification of Energy Managers Certification of Energy Managers and Accreditation of Energy Auditing Firms One of the important provisions in the Act is to create a cad

Connection of Shunt Capacitors at  Distribution Transformer Provision of capacitors at load point is found to be hard in practice because of the additional investments needed.

Architecture of 8085 Microprocessor The 8085  microprocessor  is an 8 bit  general purpose microprocessor. 8 bit  processor  means it can  read write  and process 8 bit  data

explane the special features of dual beam?