Fourier transform lab manual

The Fourier transform of a function of x gives a function of k, where k is the wavenumber. The Fourier transform of a function of t gives a function of ω where ω is the angular frequency: f˜(ω)= 1 2π Z −∞ ∞ dtf(t)e−iωt (11) 3 Example As an example, let us compute the Fourier transform of the position of an underdamped oscil-lator. Fourier Transform. • A secondary purpose of this lab is to introduce you to the tools and procedures that will be required for successful completion of the Communications Labs. The tools include MatLab, LabVIEW, PSpice (a simulation software), and the Lab test equipment. Prelab In this lab you will examine the time and frequency domain representation of a signal using Matlab. Lab 8 Fourier Transform I. Pre-lab 1. Consider an ideal band pass filter with the transfer function.

Physics - Lab 8 11/5/04 2 The Fourier transform is the extension of the Fourier series to a non-periodic function. The Fourier transform of a function of time in terms of frequency (ω=2πν) is given by € Φ(υ)= F(t)exp(−2πiυt)dt −∞ ∫∞ Interestingly, the original function is related to its Fourier transform by the function €. Fast Fourier Transform(FFT) • The Fast Fourier Transform does not refer to a new or different type of Fourier transform. It refers to a very efficient algorithm for computingtheDFT • The time taken to evaluate a DFT on a computer depends principally on the number of multiplications involved. DFT needs N2 www.doorway.ru onlyneeds Nlog 2 (N). Signals Systems Lab.-Manual(2) MATLAB - 11 - The formula used for calculating the discrete-time fourier series coefficient is: Where: N is the period of the signal x[n] and o N π ω 2. We will start by calculating the fourier series coefficient using a function that we will develop based on the definition of the fourier series.

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. together to make a continuous line: the Fourier transform. This is very cool. This show that the Fourier Transform results comes from the Fourier series in the limit that the periodic waveform never repeats. -8 -6 -4 -2 0 2 4 6 8 0 1. Fourier Transform. • A secondary purpose of this lab is to introduce you to the tools and procedures that will be required for successful completion of the Communications Labs. The tools include MatLab, LabVIEW, PSpice (a simulation software), and the Lab test equipment. Prelab In this lab you will examine the time and frequency domain representation of a signal using Matlab.