Need for filtering ideal response of filters and impulse response of filters?

Filtering is essential in signal processing to enhance desired signals while suppressing unwanted noise or interference. The ideal response of a filter is a theoretical construct that specifies how it should behave across different frequencies, achieving perfect separation of signals. The impulse response, on the other hand, characterizes a filter's output in response to a brief input signal (an impulse), providing practical insight into its performance and characteristics in real-world applications. Together, they help in designing filters that meet specific requirements for signal fidelity and clarity.