Fourier series lab manual

In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves. More formally, it decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions, namely sine and cosines. Calculate the Fourier series coefficients of the periodic x(t) sign given below and draw the marks obtained from the fourier series coefficients of 1, 3, 5, 51 and the original x(t) sign in a row(mat lab). Question: Calculate the Fourier series coefficients of the periodic x(t) sign given below and draw the marks obtained from the fourier. Lab 5 Fourier Series I. Pre-lab 1. Find the transfer function of the following RC circuit. Fig. 1 an RC circuit 2. If the input to the above RC circuit is x(t) cos(2Sf 0, find the output t) y(t). 3. Repeat the example in Section II. Understand the Matlab program (bring the Matlab script with you to the lab). II. Example.

ECE - Laboratory 3: Frequency Analysis By Prof. Charles Bouman and Prof. Mireille Boutin Fall 1 Introduction In this experiment, we will use Fourier series and Fourier transforms to analyze continuous-time and discrete-time signals and systems. The Fourier representations of signals involve the. Lab 5 Fourier Series I. Pre-lab 1. Find the transfer function of the following RC circuit. Fig. 1 an RC circuit 2. If the input to the above RC circuit is x(t) cos(2Sf 0, find the output t) y(t). 3. Repeat the example in Section II. Understand the Matlab program (bring the Matlab script with you to the lab). II. Example. Fourier series coefficients are given by 2 n /2 n C n. Figure A square pulse periodic signal. b) Start with one Fourier component. Observe the output of summing block while adding more Fourier components (harmonics) to the input. The inputs and output can be observed by using oscilloscopes as you prefer.

LAB 2. Fourier Series Fourier Transforms. Objectives Fourier analysis plays an important role in communication theory. The main. The complete lab manual is designed to teach signals and systems concepts with LabVIEW In this Lab, students will explore the Fourier series by manually. Lab Manual for practising and better understanding the signals concepts practical work book for the 10 Discrete Time Fourier Series and its Properties.