LTI system input upsampling

1. When the input to an LTI system is?
2. Is upsampling a linear operation?
3. Why do we need Upsample?
4. What is upsampling and downsampling?

When the input to an LTI system is?

A linear time-invariant (LTI) system can be represented by its impulse response (Figure 10.6). More specifically, if X(t) is the input signal to the system, the output, Y(t), can be written as Y(t)=∫∞−∞h(α)X(t−α)dα=∫∞−∞X(α)h(t−α)dα.

Is upsampling a linear operation?

Downsamplers and upsamplers are linear, time-varying operators.

Why do we need Upsample?

The purpose of Upsampling is to manipulate a signal in order to artificially increase the sampling rate. This is done by... Upsampling is an effective way to reduce time between samples of a signal without resampling the original signal.

What is upsampling and downsampling?

Downsampling, which is also sometimes called decimation, reduces the sampling rate. Upsampling, or interpolation, increases the sampling rate. Before using these techniques you will need to be aware of the following.