Fourier Transform and Inverse Transform of Functions

In the MATLAB environment, you can utilize Fourier transform and inverse transform functions to analyze signals and systems. The Fourier transform is a method for converting signals from the time domain to the frequency domain, helping you understand signal frequency characteristics and spectral components. The inverse transform converts signals back from the frequency domain to the time domain, enabling reconstruction of the original signal. MATLAB provides built-in functions like fft() for Fast Fourier Transform and ifft() for inverse FFT implementation, which efficiently handle discrete signal processing using optimized algorithms. Beyond these fundamental operations, MATLAB offers numerous additional signal processing tools including filtering techniques (using filter() or designfilt functions), spectral estimation methods (periodogram, pwelch), and signal generation capabilities (sin, square, chirp functions). These comprehensive tools allow for advanced signal analysis and processing, facilitating solutions to various practical engineering problems through customizable code implementations and visualization features.