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Introduction
The objective of this lab is to use computers to analyze the spectra of real-world signals. The Discrete Fourier Transform (DFT), which is the discrete-time version of the Fourier series, is the main tool we will be using. Once a signal is sampled, the spectrum can be analyzed by applying the DFT to the samples. The DFT can be rapidly computed using an algorithm known as the Fast Fourier Transform (FFT). Mat lab has a built-in function, FFT, that implements this algorithm. The FFT algorithm was discovered by Gauss and later rediscovered and popularized by Cooley and Tukey in the late 1960's. The ability to perform spectrum analysis on a computer revolutionized science and engineering, and the FFT is one of the most important tools in signal processing and computational science. In fact, you have all encountered the FFT before; every time you listen to an MP3 file or view a JPEG image you are using an FFT-based algorithm.
What is the frequency of the sinusoid that was sampled? Was it adequately sampled, at or above the Nyquist rate?
How many samples were acquired per cycle of the sinusoid?
Lab Exercise
Mathematically explain why the spectrum of the 150Hz sinusoid in the warm-up did not consist of two perfect peaks. This effect is often called "spectral leakage".
Evaluate the median and convolution filters to reduce noise while preserving edges. Study the behavior of various 3x3 convolution filter kernels for smoothing, edge detection, and sharpening
Find the spherical coordinates for point P and find an equation for the surface of the sphere.
Compute the power spectral density vector. Plot the spectrogram using the same parameters as in lecture.
Write a MATLAB function that takes a matrix, a row number and a column number. Beginning with the row number passed to the function, scan down the column passed to the function and return the row number that contains the largest absolute value in ..
For the following system, use Matlab to: Calculate the coefficients A' of ?? after two finite barriers via transfer matrix approach. Calculate transmission probability (T=|A'|2/|A|2) in case of E>V. Choose E = 4 eV, V = 2 eV, a = 0.1 nm, b = 0.3 nm
create a function that will use the secant method to tryt to find out the root
Develop your own Matlab function for the Fixed-point method. Use the approximate relative error as your stopping criterion. The first line of your function should be function [root,froot,ea,iter] = fixedpoint(func,xr,es,maxit)
In this simulation we are going to explore the design of a recursive digital filter which might be usedvin a digital radio station. The sampling frequency used in digital radio (DAB) is either 48 kHz or 24 kHz and for the purposes of this simulation,
when a fast-breeder reactor is shut down quickly the temperature of the surface of a number of components drops from
Lagrange interpolating polynomial of degree
A typical industrial robot has degrees of freedom. A unity feedback position control system for a force -sensing joint has the following transfer function. Discuss how you will obtain the Bode Plot for the above mentioned control system.
Matlab code that will calculate the bending moment and shearforce diagrams for the attached file. It must be possible to input lengths,udl values fro each element and the programme must calculate the reaction forces at A,B,C
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