Using MATLAB, plot the magnitude frequency response and the phase response for the filter of Problem 9.54. | Numerade (2024)

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Make an ajax call to the server and get the search database. let databaseUrl = `/search/whiletype_database/`; let resp = single_whiletyping_ajax_promise; if (resp === null) { whiletyping_database_initial_burst = whiletyping_database_initial_burst + 1; single_whiletyping_ajax_promise = resp = new Promise((resolve, reject) => { $.ajax({ url: databaseUrl, type: 'POST', data:{csrfmiddlewaretoken: "9GdRP5PdopJGwUtsQMUp9rUo5JwcvJFuay9FnIEHSdjcXuckD7pdygzZU36fWYK5"}, success: function (data) { // 3. verify that the elements of the database exist and are arrays if ( ('books' in data) && ('curriculum' in data) && ('topics' in data) && Array.isArray(data.books) && Array.isArray(data.curriculum) && Array.isArray(data.topics)) { localforage.setItem('whiletyping_last_success', (new Date()).getTime()); localforage.setItem('whiletyping_database', data); resolve(data); } }, error: function (error) { console.log(error); resolve(null); }, complete: function (data) { single_whiletyping_ajax_promise = null; } }) }); } return resp; } return Promise.resolve(null); }).catch(function(err) { console.log(err); return Promise.resolve(null); }); } function get_whiletyping_search_object() { // gets the fuse objects that will be in charge of the search if (whiletyping_search_object){ return Promise.resolve(whiletyping_search_object); } database_promise = localforage.getItem('whiletyping_database').then(function(database) { return localforage.getItem('whiletyping_last_success').then(function(last_success) { if (database==null || (new Date()) - (new Date(last_success)) > 1000*60*60*24*30 || (new Date('2023-04-25T00:00:00')) - (new Date(last_success)) > 0) { // New database update return get_whiletyping_database().then(function(new_database) { if (new_database) { database = new_database; } return database; }); } else { return Promise.resolve(database); } }); }); return database_promise.then(function(database) { if (database) { const options = { isCaseSensitive: false, includeScore: true, shouldSort: true, // includeMatches: false, // findAllMatches: false, // minMatchCharLength: 1, // location: 0, threshold: 0.2, // distance: 100, // useExtendedSearch: false, ignoreLocation: true, // ignoreFieldNorm: false, // fieldNormWeight: 1, keys: [ "title" ] }; let curriculum_index={}; let topics_index={}; database.curriculum.forEach(c => curriculum_index[c.id]=c); database.topics.forEach(t => topics_index[t.id]=t); for (j=0; j

    Solutions
  • Textbooks
  • `); } function build_solutions() { if (Array.isArray(solution_search_result)) { const viewAllHTML = userSubscribed ? `View All` : ''; var solutions_section = $(`
  • Solutions ${viewAllHTML}
  • `); let questionUrl = "/questions/xxx/"; let askUrl = "/ask/question/xxx/"; solution_search_result.forEach((elem) => { let url = ('course' in elem)?askUrl:questionUrl; let solution_type = ('course' in elem)?'ask':'question'; let subtitle = ('course' in elem)?(elem.course??""):(elem.book ?? "")+"    "+(elem.chapter?"Chapter "+elem.chapter:""); solutions_section.find('#whiletyping-solutions').append(` ${elem.text} ${subtitle} `); }); $('#search-solution-options').empty(); if (Array.isArray(solution_search_result) && solution_search_result.length>0){ $('#search-solution-options').append(solutions_section); } MathJax.typesetPromise([document.getElementById('search-solution-options')]); } } function build_textbooks() { $('#search-pretype-options').empty(); $('#search-pretype-options').append($('#search-solution-options').html()); if (Array.isArray(textbook_search_result)) { var books_section = $(`
  • Textbooks View All
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    Using MATLAB, plot the magnitude frequency response and the phase response for the filter of Problem 9.54. | Numerade (2024)

    FAQs

    How to plot magnitude and phase response of filter in Matlab? ›

    plot(f,mag2db(abs(h1)));
    1. title('Frequency response of the filter using MATLAB function')
    2. xlabel('Frequency');
    3. ylabel ('Magnitude in db' );
    4. title('Phase response of the filter using MATLAB function')
    5. xlabel('Frequency');
    6. ylabel ('phase in radians' );
    Sep 2, 2020

    How to plot the frequency response of a filter in Matlab? ›

    [ H , f ] = freqz( obj , ind ) returns the frequency response of filters with indices corresponding to the elements in vector ind . [ H , f ] = freqz(___,N= n ) returns the N-point complex frequency response. freqz(___) with no output arguments plots the frequency response of the filter bank.

    How do you plot magnitude frequency response? ›

    It is customary to plot the magnitude of the frequency response function on the log scale as |G(jω)|dB=20log10|G(jω)|.

    How do you find the frequency response of a signal in Matlab? ›

    [ h , f ] = freqz(___, n , fs ) returns the frequency response vector h and the corresponding physical frequency vector f for a digital filter designed to filter signals sampled at a rate fs . [ h , f ] = freqz(___, n ,'whole', fs ) returns the frequency vector at n points ranging between 0 and fs .

    How do you find the magnitude and phase response? ›

    A geometric way to obtain approximate magnitude and phase frequency responses is using the effects of zeros and poles on the frequency response of an LTI system. G ( s ) | s = j Ω 0 = K j Ω 0 − z j Ω 0 − p = K Z → ( Ω 0 ) P → ( Ω 0 ) .

    How do you combine magnitude and phase in Matlab? ›

    The magnitude and phase of the 2D Fourier spectrum can be expressed as the phase and absolute value of a complex number. For images in Matlab, it consist of a 2D complex array. You can create a 2D complex array merging the magnitude and phase like this: FreqDomain = abs(Y).

    What is frequency response model in MATLAB? ›

    A frequency-response model is the frequency response of a linear system evaluated over a range of frequency values. The model is represented by an idfrd model object that stores the frequency response, sample time, and input-output channel information.

    How do you calculate filter frequency response? ›

    Frequency Response of the Running Average Filter

    H(ω) = (1/L) (1 − e L)/(1 − e ). where we have let a = e , N = 0, and M = L − 1. We may be interested in the magnitude of this function in order to determine which frequencies get through the filter unattenuated and which are attenuated.

    How does the filter function work in MATLAB? ›

    In MATLAB®, the filter function filters a vector of data x according to the following difference equation, which describes a tapped delay-line filter. In this equation, a and b are vectors of coefficients of the filter, Na is the feedback filter order, and Nb is the feedforward filter order.

    What is the magnitude plot and phase plot? ›

    Single/multiple pole/zero at origin

    In general, for the case of the multiple pole at origin (i.e., HNp0(ωj) = (1/jω)N), the magnitude plot becomes a line of −N·20 dB/decade slope and the phase is a horizontal line of −N·90°. Fig. 3C, shows the representation for a double pole at origin (i.e., N = 2).

    What is the difference between magnitude response and phase response? ›

    The magnitude describes the strength of each frequency in the signal. The phase describes the sine/cosine phase of each frequency. The phase can also be thought of as the relative proportion of sines and cosines in the signal (i.e., a phase of zero contains only cosines and a phase of 90 degrees contains only sines).

    What is the phase response of a filter? ›

    In signal processing, phase response is the relationship between the phase of a sinusoidal input and the output signal passing through any device that accepts input and produces an output signal, such as an amplifier or a filter.

    How to plot frequency response in MATLAB Simulink? ›

    If you have a linear representation of the system in the form of a transfer function or state-space model, you can plot the frequency response using one of the three plots: a Bode plot, Nyquist plot, or a Nichols chart.

    What MATLAB command plots the frequency domain response of a system? ›

    Bode plots, Nyquist plots, and Nichols charts are three standard ways to plot and analyze the frequency response of a linear system. You can create these plots using the bode , nichols , and nyquist commands.

    How to use freqresp in MATLAB? ›

    Use freqresp to evaluate the system response over a grid of frequencies. To obtain the magnitude and phase data as well as plots of the frequency response, use bode . [ H , wout ] = freqresp( sys ) returns the frequency response of the dynamic system model sys at frequencies wout .

    How to plot a phase plot in Matlab? ›

    Please refer to the below code snippet.
    1. function dydx = diff_eq(x,y)
    2. dydx = [y(2); (exp(-x)-2*(x-1)*y(2)-(x-2)*y(1))/x];
    3. end.
    Mar 31, 2023

    How to find magnitude and phase of complex number in matlab? ›

    [ mag , angle , validOut ] = magAngle( X , validIn ) converts a scalar or vector of complex values X into their component magnitude and phase angles.

    How to plot response surface in matlab? ›

    To create a response surface plot, you have to provide Z as a matrix. Specifically, if two vector arguments X & Y defined such that length(X) = n and length(Y) = m then, size(Z) should be [m,n]. In order to plot the vertices of the surface patches as the triples (X(j), Y(i), Z(i,j)).

    What is magnitude and phase plot? ›

    the magnitude plot is a straight line with a slope of 20 d B per decade, passing through the abscissa axis at ω = 1 rad/s, and the phase plot is a constant equal to 90 ∘ (Fig. 5.9): Figure 5.9. Bode plots of the monomial term j ω . | j ω | d B = 20 log 10 ω , 1 j ω = − 90 ∘ .

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