Howtosignalprocessing
- What is power spectrum of white noise?
- How is white noise power calculated?
- What is power spectrum estimation?
- What is the average power of white noise signal?
What is power spectrum of white noise?
White noise vector
The power spectrum P of a random vector w can be defined as the expected value of the squared modulus of each coefficient of its Fourier transform W, that is, Pi = E(|Wi|2). Under that definition, a Gaussian white noise vector will have a perfectly flat power spectrum, with Pi = σ2 for all i.
How is white noise power calculated?
The random process X(t) is called a white noise process if SX(f)=N02, for all f. Before going any further, let's calculate the expected power in X(t). We have E[X(t)2]=∫∞−∞SX(f)df=∫∞−∞N02df=∞. Thus, white noise, as defined above, has infinite power!
What is power spectrum estimation?
Power spectrum reveals the existence, or the absence, of repetitive patterns and correlation structures in a signal process. These structural patterns are important in a wide range of applications such as data forecasting, signal coding, signal detection, radar, pattern recognition, and decision making systems.
What is the average power of white noise signal?
Explanation: White noise is a idealized process with two sided spectral density equal to constant N0/2 and frequencies varying from minus infinity to plus infinity. Thus the average noise power is infinity.
