| Line 4: | Line 4: | ||
x[n]----->Time delay ----> System -----> z[n] | x[n]----->Time delay ----> System -----> z[n] | ||
| − | + | yields the same output as | |
x[n]----->system----->Time Delay-----> y[n] | x[n]----->system----->Time Delay-----> y[n] | ||
| + | |||
| + | |||
| + | == Time Invariance check == | ||
| + | Let us check for y[n] = x[n]^2 | ||
| + | |||
| + | <math>y[x[n-n0]] = x{[n-n0]^2}</math> | ||
| + | Also, | ||
| + | <math>y[n-n0] = x{[n-n0]^2}</math> | ||
Revision as of 10:04, 12 September 2008
Time invariance
A system is called time invariant if the cascade
x[n]----->Time delay ----> System -----> z[n] yields the same output as x[n]----->system----->Time Delay-----> y[n]
Time Invariance check
Let us check for y[n] = x[n]^2
$ y[x[n-n0]] = x{[n-n0]^2} $ Also, $ y[n-n0] = x{[n-n0]^2} $
