Ejercicio de cálculo de respuestas de un LTI | 7/37 | UPV

Title: Exercise in Calculating the Responses of an LTI Description: Solved problem on different uses of the Fourier Transform. Camacho García, A. (2011). Exercise in calculating the responses of an LTI. https://riunet.upv.es/handle/10251/9734 Automatic description: In this video, the engineer explains how to calculate the responses of an electronic system based on a bandpass structure. He begins by detailing that impulse responses, step responses, and responses to specific signals, such as a cosine, will be calculated and represented. Using an example of a system characterized by its frequency response, he demonstrates how to implement it with two capacitors and two inductors, and theoretically verifies that the results are consistent. He then proceeds to calculate the impulse response using the inverse Fourier transform, simplifying the frequency response and performing algebraic operations. When evaluating the step response, the system's frequency response is multiplied by the Fourier transform of a single step, using integration properties. Integration of decreasing exponentials is easily performed to obtain the solution. For rectangular signals, they are considered as sums of shifted steps, and the system's response is the difference between the individual responses to these steps. Finally, to calculate the response to a ten-hertz cosine, the attenuation and phase shift of the cosine are determined by observing the system's frequency response. The result is a cosine that is phase-shifted and attenuated according to the frequency response. The video concludes by highlighting the importance of the Fourier transform and its inverse in calculating and representing system responses to different signals. Author: Andrés Camacho García Course: This video is 32/51 of the course Signal Processing in Communications | Universitat Politècnica de València (UPV).    • Curso Tratamiento de señales en comunicaci...   Course: This video is 7/37 of the Signals and Communications Theory course.    • Teoría de las señales y las comunicaciones   Universitat Politècnica de València UPV: https://www.upv.es More videos at:    / valenciaupv   Access our MOOCs: https://upvx.es #Fourier transform #Fft #Frequency response #Impulse response