Can a random process be anything?

Can a random process be anything?

A random process is nothing but a collection of indexed random variables defined over a probability space. The index is in most cases time, but in general can be anything.

What is meant by random processes?

A random process is a time-varying function that assigns the outcome of a random experiment to each time instant: X(t). • For a fixed (sample path): a random process is a time varying function, e.g., a signal.

What is an example of a random process?

Tossing the die is an example of a random process; • The number on top is the value of the random variable. 2. Toss two dice and take the sum of the numbers that land up. Tossing the dice is the random process; • The sum is the value of the random variable.

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What is random process in communication?

A random process, or stochastic process, X(t), is an ensemble of ζ number of sample functions {X1(t),X2(t),…,Xζ(t)} together with a probability rule which assigns a probability to any meaningful event associated with the observation of these functions. – this defines discrete- or continuous-time random processes.

When can a random process is said to be an ergodic process?

A random process is said to be ergodic if the time averages of the process tend to the appropriate ensemble averages. This definition implies that with probability 1, any ensemble average of {X(t)} can be determined from a single sample function of {X(t)}.

What is the difference between random variable and random process?

A random variable is a variable which can take different values and the values that it takes depends on some probability distribution rather than a deterministic rule. A random process is a process which can be in a number of different states and the transition from one state to another is random.

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What are the 4 types of random processes?

Random process

  • Introduction.
  • Deterministic And Non-Deterministic Random Process.
  • Stationary And Non Stationary Processes.
  • Ergodic and Nonergodic Random Processes.

What is the difference between random variable and random processes?

What is the difference between random variables and random process?

What are the types of random processes?

Discrete Random Process: Quantized voltage in a circuit over time. Continuous Random Sequence: Sampled voltage in a circuit over time. Discrete Random Sequence: Sampled and quantized voltage from a circuit over time.

What is an ergodic process explain in detail?

In econometrics and signal processing, a stochastic process is said to be ergodic if its statistical properties can be deduced from a single, sufficiently long, random sample of the process. Conversely, a process that is not ergodic is a process that changes erratically at an inconsistent rate.