Time Scaling

In the sequence x(n) if we replace n with lambda n or say Kn we get a time scaled version of x(n).

Consider K=2 in x(n) = {-4,-3,-2,-1,

**0**,1,2,3,4}

y(0)=x(2*0)=x(0)=0

y(1)=x(2*1)=x(2)=2

y(2)=x(2*2)=x(4)=4

like that we get y(n)={-4,-2,

**0**,2,4}

This efect can be obtained by reducing the sampling rate while sampling from continuous signal x(t). This process of reducing sampling rate is called downsampling.

The other case up-sampling you can think on your own, up-sampling above x(n) with k=1/2 will produce a signal y(n)={-4,0,-3,0,-2,0,-1,0,

**0**,0,1,0,2,0,3,0,4}

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