Instructions for Wide Sense Stationary Simulator when the system is LTI
Step 1: Click on "Generate WSS" to generate a wide-sense stationary (WSS) signal, whose mean and autocorrelation do not change over time.
Step 2: Click on "Generate CIR" to generate the LTI filter coefficients.
Step 3: Click on "Generate Output" to produce the output signal after filtration.
Step 4: Click on "Check Autocorrelation" to verify whether the output signal retains the properties of WSS.
Number of Samples:
Channel Impulse Response:
Generate WSS
Generate CIR
Generate Output
Check Auto-correlation for Input
Check Auto-correlation for Output
Check Autocorrelation of the Input Signal Over time
R(τ) represents the correlation of the signal with itself as a function of the time lag (τ).
R(t1, t2) represents the correlation between two points t1t1 and t2t2 in the signal.
Rx(τ)
Lag:
Calculate
Autocorrelation Results
Lag
Autocorrelation
Rx(t1,t2)
t1:
t2:
Calculate
Autocorrelation Results
t1
t2
Autocorrelation (Rx)
Check Autocorrelation of the Output Signal Over Time
R(τ) represents the correlation of the signal with itself as a function of the time lag (τ).
R(t1, t2) represents the correlation between two points \( t_1 \) and \( t_2 \) in the signal.
Rx(τ)
Lag:
Calculate
Autocorrelation Results
Lag
Autocorrelation
Rx(t1, t2)
t1:
t2:
Calculate
Autocorrelation Results
t1
t2
Autocorrelation (Rx)
