Stationary

LTI filtering for wide-sense stationary process

LTI filtering for wide-sense stationary process
  1. What are the conditions to be satisfied for wide sense stationary processes?
  2. Does strict sense stationary imply wide sense stationary?
  3. What is wide sense stationary random process?
  4. What is the difference between strict sense stationary and wide sense stationary?

What are the conditions to be satisfied for wide sense stationary processes?

A random process is called weak-sense stationary or wide-sense stationary (WSS) if its mean function and its correlation function do not change by shifts in time.

Does strict sense stationary imply wide sense stationary?

mathematical statistics - A Strict Sense Stationary (SSS) process implies it is a Wide Sense Stationary (WSS) process - proof - Cross Validated.

What is wide sense stationary random process?

Wide-Sense Stationary Random Processes. • A random process X(t) is said to be wide-sense stationary (WSS) if its mean. and autocorrelation functions are time invariant, i.e., ◦ E(X(t)) = µ, independent of t. ◦ RX(t1,t2) is a function only of the time difference t2 − t1.

What is the difference between strict sense stationary and wide sense stationary?

According to the definition (by Heinrich Meyr, Marc Moeneclaey, Stefan A. Fechtel in "Synchronization, Channel Estimation, and Signal Processing") : strict-sense SP = not time dependent. wide-sense SP = not dependent on variable t (time)

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