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The calculation of various time-domain and frequency-domain signals, as well as various spectra, is a complex and important aspect of signal processing. In order to accurately analyze and manipulate signals, it is necessary to have a deep understanding of the mathematical principles and techniques involved in these calculations. Whether you are working with audio, video, or other types of signals, being able to perform these calculations is essential for achieving high-quality results. With the increasing importance of signal processing in a wide range of industries and applications, it is more important than ever to have a solid foundation in this area of study.