even and odd signals

Signals can be in nature or we artificially produce it. In nature no signals are going to be in even or odd. so other option we have is to produce.So my next question is why we want to produce such signal(even and odd signal) ?

content form my signal book by oppenheim

any signal can be broken into sum of even and odd signals

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why we need to do even-odd decomposition for the signal.what is the use in that ?

Thank you in advance

even and odd signals like Cos and Sin signals allow data to be encoded separately on each channel for bandwidth compression.