What is the significance of identifying whether or not a system is an LTI system? Sure, we defined it, but why is it important in communication systems? Where is this seen in application?
The filtering performed by an LTI system is fully determined by the impulse response or its Fourier transform, which is otherwise not the case. The LTI property is essential to developing simple ways to relate the received signal to the transmitted signal. All the standard system models and transmission methods that you can find in textbooks on digital or wireless communications build on an LTI assumption. Many of these methods are used in practical systems.
![Bit Error Ratio or Channel Capacity: Which metric should I use? [Frequently Asked Questions]](http://i.ytimg.com/vi/sK537pnqjWM/mqdefault.jpg)
What is the significance of identifying whether or not a system is an LTI system? Sure, we defined it, but why is it important in communication systems? Where is this seen in application?
The filtering performed by an LTI system is fully determined by the impulse response or its Fourier transform, which is otherwise not the case. The LTI property is essential to developing simple ways to relate the received signal to the transmitted signal. All the standard system models and transmission methods that you can find in textbooks on digital or wireless communications build on an LTI assumption. Many of these methods are used in practical systems.