The Continuous Fourier Transform (CFT) is a mathematical technique used to analyze functions or signals in terms of their frequency components. It transforms a time-domain signal into a frequency-domain representation, allowing us to see how much of each frequency is present in the original signal. This is particularly useful in fields like signal processing and communications. The CFT is defined by an integral that takes a continuous function and expresses it as a sum of sinusoidal functions, each with a specific frequency and amplitude. This transformation helps in understanding the behavior of signals, making it easier to filter, compress, or modify them for various applications.