Question: Signals and systems. It is a computer exercise; please solve it by using MATLAB and explain each step in the problem. Thanks in advance! 1

Signals and systems. It is a computer exercise; please solve it by using MATLAB and explain each step in the problem.

Thanks in advance! image text in transcribed

1 The Discrete Fourier Transform 1.1 Implementation Implement the function [ak]=myDFT(x) that calculates the discrete Fourier transform (also known as Fourier series for discrete signals) of the signal r[n] which is stored in the vector x that has the length N. Let's assume that xnl is periodic with the period N and that the vector x stores one period 1.2 Testing Generate two signals. A sine wave xn-sin to test your implementation [ak]=myDFT (x) n) and a box signal boxsignal . Justify your choice of N (for the sine wave) and your choice of N1 and N2 (for the box signal, see CE 1, part 2.) . Is the outcome ak what you expected? Compare this outcome to what you get from the inbuilt fft in Matlab (or numPy Remember that the coefficients ak are complex numbers so you need to use real() and imag() or (more interesting) abs) and angle () to compare the coefficients

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

s sf Define the terms opaque type and concrete type. [5 marks] The following is a shortened version of one of the definition modules described in the Modula-2 user manual: Provide a suitable...

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

A discrete sequence {xn} can be converted into a continuous representation x(t) = ts X n= (t n ts) xn, where ts is the sampling period. (a) State two characteristic properties of Dirac's function. [2...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

(a) How does the use of condition codes complicate the implementation of a superscalar processor that supports out-of-order execution? [4 marks] (b) A branch predictor with a high prediction accuracy...

A machine manufactures cubes with a side length which varies uniformly over the interval [0.2, 0.3] in millimeters. For the following problems, make sure you use the correct units. (Assume the sides...

Write a perfect som_div_function that takes a positive integer p as input and returns nothing. The function finds the sum of the divisors of p, tests, and displays a message about whether the integer...

Next year's expected annual dividend divided by today's stock price is called the stock's: Group of answer choices required return. dividend yield. maturity yield. capital gains yield. capital return.

The first scenario will be a Verbal Judo scenario in which your scenario follows the standard Verbal Judo interaction: You need to ask somebody to modify their behavior either to do something or to...

3 How does celebrity culture relate to public speaking? Is a movie star more capable of drawing support for a cause than an ordinary citizen?

2 How does the clicker change the nature of the lecture? Does it change the relationship between speaker and audience? Or does it simply change the interaction between them?

6-14 Explain why distributed architectures are flexible. The Lego Group, which is headquartered in Billund, Denmark, is one of the largest toy manufacturers in the world. Legos main products have...