Some Applications of One and Two- Dimensional Fourier Series and Transforms

The paper provides a solid foundation in the fundamentals of one and two-dimensional Fourier series and transforms, examines the representation of periodic non-sinusoidal signals which can include current, voltage, voice, image etc, as sum of infinite trigonometrically series in sine and cosine terms, presents analysis of Fourier series with regard to some of its applications and modeling in electric circuits illustrated with corresponding numerical problems, also is being used the processing of images in its frequency domain rather than spatial domain associated with different filters, giving examples with algorithms developed in MATLAB and making visual comparisons for each method.