Deterministic

Variance of deterministic sine wave

Variance of deterministic sine wave
  1. How do you find the variance of sinX?
  2. What is the variance of a sinusoid?
  3. Is noise deterministic signal?
  4. Which of the following signal is example of deterministic signal?

How do you find the variance of sinX?

Here I will call the expected value μ and the variance σ2. E(sinX)=E(eiX−e−iX2i)=E(ei(μ+σZ)−e−i(μ+σZ)2i)=12i(eiμE(eiσZ)−e−iμE(e−iσZ)).

What is the variance of a sinusoid?

The variance of a sinusoidal surface is the average over one wavelength of the surface elevation squared (assuming that the mean surface is at zero): v a r z ≡ 1 Λ ∫ 0 Λ A sin 2 π x Λ 2 d x = 1 2 A 2 .

Is noise deterministic signal?

1.1 Deterministic signals

The effect of these factors is called noise. A noise-free spectrum of the absorbance as a function of the wavelength would be a deterministic signal.

Which of the following signal is example of deterministic signal?

Examples of deterministic signals corrupted by noise are active sonar and nondestructive testing with high-frequency sound.

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