EXERCÍCIO 1 - ANÁLISE DO FILTRO FIR: Equação + Esboço da Resposta em Frequência | Sinais e Sistemas

Given the impulse response of an FIR filter, how do we find its difference equation, magnitude, and phase? My complete basic math course: https://www.hotmart.com/product/curso... BOOKS THAT WILL HELP YOU: Calculus 1 - James Stewart: https://amzn.to/3hRJy4C Calculus 2 - James Stewart: https://amzn.to/3vecrM2 Signs and Systems - Oppenheim: https://amzn.to/3hQ1yML Analytic Geometry - Boulos: https://amzn.to/3fDa0vY Linear Algebra - Steinbruch: https://amzn.to/3yEDAdo Linear Algebra - Anton: https://amzn.to/3vkWWC1 MY EQUIPMENT: Graphics Tablet: https://amzn.to/3wwDgLS Microphone: Tripod: https://amzn.to/3yCjX5l Webcam: https://amzn.to/3vv3zla Camera: https://amzn.to/3wwDPW0 Now that we know what a FIR (Finite Impulse Response) filter is, let's do a complete analysis of a system that exhibits this behavior. Before understanding how to design an FIR filter, it's necessary to know its mathematical behavior, its magnitude, and its phase. In this solved exercise, we will understand step-by-step how to analyze this type of filter, its relationship with the Ideal Discrete-Time Filter, the behavior of its difference equation, and we will also find its frequency response so that we can sketch its phase. In the exercise solved in this lesson, we have the impulse response h[n] of an FIR filter, which in a given interval is equivalent to the impulse response of an ideal low-pass filter with a cutoff frequency of π/2 and is 0 otherwise. From this impulse response, we will determine a difference equation relating the input x[n] and the output y[n] and we will also find the frequency response H(jw) of this system. Having H(jw), we can sketch the magnitude and phase of our filter. ⭐ Subscribe to the Matemateca Channel for more videos on Signals and Systems. Instagram:   / canalmatemateca​   0:00 - Problem Analysis 04:03 - FIR Filter Concepts We Will Use 05:40 - Finding the Difference Equation 10:04 - Analyzing Stability 11:19 - Finding the Frequency Response 15:00 - Sketch of H(jw)