Probability of (not) distinguish signal

In summary, the probability that the receiver does not distinguish signals is 0.1, calculated by dividing the interval in which the receiver can't distinguish between signals (0.1T) by the total possible intervals (T). This solution may seem simple, but it is accurate.
  • #1
dperkovic
17
0

Homework Statement


In moments of arbitrary time interval T, receiver catches the two signals, by
one in each moment. Signals can not distinguish if the differences in time
between the signal reception is less than t = 0.1T. Determine the probability that the receiver
does not distinguish signals.

Homework Equations



[tex]P=\frac{n}{m}[/tex]

The Attempt at a Solution



[tex]n = 0.1T[/tex] - interval in which recevier can't distinguish to signals

[tex]m = T[/tex] - total possible intervals, in which receiver can catch signals is T[tex]P = \frac{0.1T}{T} =0.1[/tex]

But, it seems too simple to me ! Is that solution OK, or ... ?
 
Physics news on Phys.org
  • #2
i think so
 

1. What is the probability of distinguishing a signal from background noise?

The probability of distinguishing a signal from background noise depends on various factors such as the signal-to-noise ratio, the complexity of the signal, and the type of detection method used. Generally, a higher signal-to-noise ratio and a simpler signal make it easier to distinguish it from background noise, resulting in a higher probability.

2. Can the probability of distinguishing a signal be increased?

Yes, the probability of distinguishing a signal can be increased by improving the signal-to-noise ratio, using advanced signal processing techniques, or using more sensitive detection methods. Additionally, reducing the complexity of the signal can also increase the probability of distinguishing it from background noise.

3. What is the role of statistical methods in determining the probability of distinguishing a signal?

Statistical methods play a crucial role in determining the probability of distinguishing a signal. These methods help in analyzing the data and determining if the observed signal is significantly different from background noise. They also help in estimating the uncertainty in the probability calculation.

4. How does the probability of distinguishing a signal affect scientific research?

The probability of distinguishing a signal is an important factor in scientific research, especially in fields such as astronomy, biology, and physics. It helps in determining the reliability of experimental results and in making conclusions about the presence or absence of a signal. A higher probability increases the confidence in the research findings.

5. Can the probability of distinguishing a signal be 0?

In theory, the probability of distinguishing a signal can be 0 if the signal is completely indistinguishable from background noise. However, in most practical scenarios, some level of distinction can be achieved, even if it is very small. This is because there is always some level of noise present in any signal, and it is nearly impossible to completely eliminate it.

Similar threads

  • Electrical Engineering
Replies
4
Views
709
Replies
14
Views
1K
  • Other Physics Topics
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
756
  • Electrical Engineering
Replies
15
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
784
  • Engineering and Comp Sci Homework Help
Replies
5
Views
1K
  • Calculus and Beyond Homework Help
Replies
6
Views
130
  • Special and General Relativity
Replies
6
Views
618
  • Precalculus Mathematics Homework Help
Replies
5
Views
2K
Back
Top