- #1

Jncik

- 103

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## Homework Statement

I have a trouble understanding what would be the output when for example we say let's input the signal x(k*n) or x(n-n0) to the system...

this has given me problems when having to solve systems for which I have to check the property of time invariance

suppose we have a discrete system

y[n] = x[2n]

then, find what the system would be for the following inputs

i. x[2n]

ii. x[n-2]

iii. x[n/3]

iv. x[-n]

v. x[-n+3]

vi. x[-n/4 + 1]

## Homework Equations

## The Attempt at a Solution

well the thing that makes it confusing is that x[n-3] or what ever is not y[n-3]... but rather something else..

my solutions would be

i. y[n] = x[4n]

ii. y[n] = x[2n - 2]

iii.y[n] = x[2/3 n]

iv. y[n] = x[-n]

v. y[n] = x[-2n + 3]

vi. y[n] = x[-2*n/4 + 1]

my questions:

1. are my answers correct?

2. is there any method on finding the answer using some formula?

3. would these answers be the same for continuous time?

thanks in advance