Signals and System Problems Nick recently built a simple sec

Signals and System Problems

Nick recently built a simple second-order But- term worth low pass filter for his home stereo. Although the system performs pretty well, Nick is an overachiever and hopes to improve the system performance. Unfortunately, Nick is pretty lazy and doesn\'t want to design another filter. Thinking \"twice the filtering gives twice the performance, \" he suggests filtering the audio signal not once but twice with a cascade of two identical filters. His overworked, underpaid signals professor is skeptical and states, \"If you are using identical filters, it makes no difference whether you filter once or twice!\" Who is correct? Why?

Solution

Filters in practice, will not completely attenuate the undesired signal. Some amount of undesired frequencies will also be passed.

So cascading of identical filters will not remove the undesired frequencie. Those undesired frequencies drill persist and hence will not improve the performance.

Hence performance improvement cannot he attained with identical filters cascading.

Instead it is preferred to design another filter to remove the undesired frequencies