plot convolution of two signals in matlabdivinity 2 respec talents

Em 15 de setembro de 2022

Seleccione un pas/idioma para obtener contenido traducido, si est disponible, y ver eventos y ofertas de productos y servicios locales. % "time" values for x-axis of plot 8+3-1=10 --> means from 0 to 9, % Make a 2x1 array of graphs and make the first graph the "current" one. MATLAB functions such as conv and filter allow you to perform convolution and build filters from scratch. Discrete time convolution is an operation on two discrete time signals defined by the integral. Thank you. Thanks again for your time. inorder to get the same vector size, you need to do this. Reload the page to see its updated state. can someone help. Thank you. Here is the code that I wrote: t=-3:0.1:10; t_c=-3:0.05:10; h_t=heaviside(t-1)-heaviside(t-7); x_t1=5. Seleccione un pas/idioma para obtener contenido traducido, si est disponible, y ver eventos y ofertas de productos y servicios locales. Operation Definition. madhan ravi on 20 Dec 2018. syms t. y1=3*t+5; y2=4*t^2+1; fplot (y1*y2) %edit after Brunos suggestion it's not possible to represent the convolution for these functions. *(mod(t,1/fc) < 1/2/fc)); As you can see, the approximating convolution sum isn't quite accurate and becomes less so as t increases. Me too amnclear as to why the dt is needed though and why t_c needed to be extended to -6 to 20. In the USA, is it legal for parents to take children to strip clubs? As a response to your question, let me explain the equation, which is discrete convolution: y [ n] = x [ n] h [ n] = k = x [ k] h [ n k] This equation comes from the fact that we are working with LTI systems but maybe a simple example clarifies more. Unable to complete the action because of changes made to the page. MathWorks is the leading developer of mathematical computing software for engineers and scientists. I am agree with the fact that there will be more elements and the output length will be sum of the length of the two signal. In the first assignment students are introduced to a set of basis functions that can be used to compose any piece-wise polynomial signal. Me too amnclear as to why the dt is needed though and why t_c needed to be extended to -6 to 20. *(heaviside(t+1)-heaviside(t-1)); c_x_h=conv(x_t1,h_t); figure(1) plot(t_c,c_x_h). Please accept an answer once your problem has been solved. Besides, 'same' removes the first elements to get a list with the same length as x.. so you lose SO MUCH information which can give you complete false result. I am unclear as to why the dt is needed though and why t_c needed to be extended to -6 to 20. In CP/M, how did a program know when to load a particular overlay? You probably need to interpolate the y data with a constant step, THEN apply conv. Here is the code that I wrote: t=-3:0. https://www.mathworks.com/matlabcentral/answers/189804-simple-question-about-plotting-a-convolution, https://www.mathworks.com/matlabcentral/answers/189804-simple-question-about-plotting-a-convolution#answer_172740, https://www.mathworks.com/matlabcentral/answers/189804-simple-question-about-plotting-a-convolution#comment_274512, https://www.mathworks.com/matlabcentral/answers/189804-simple-question-about-plotting-a-convolution#answer_393449, https://www.mathworks.com/matlabcentral/answers/189804-simple-question-about-plotting-a-convolution#comment_749765, https://www.mathworks.com/matlabcentral/answers/189804-simple-question-about-plotting-a-convolution#comment_749904. but how to represent the x and y values as signal 1 and signal 2. two times? https://in.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals, https://in.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_156280, https://in.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_245066, https://in.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_583799, https://in.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_622126, https://in.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_622127, https://in.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_261185, https://in.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_494985. Thanks for your help. My code so far is this: >> t = -10:.1:10 >> f = heaviside (t)-heaviside (t-3) >> g = heaviside (t)-heaviside (t-1) >> y = conv (f,g) which produces 3 variables of "value" 1x201 double, (t, f, g) and the . Reload the page to see its updated state. Thanks! (f g)[n] = k = f[k]g[n k] for all signals f, g defined on Z. Making statements based on opinion; back them up with references or personal experience. but in conv function i have to input the two signals(signal 1 and signal 2) i suppose. Call y [ n] the output, x [ n] the input and h [ n] the impulse . Given signalsxk(t) with Fouriertransforms Xk(f) and complex constants ak, k= 1;2; : : :K, then KK Xakxk(t) ,akXk(f): k=1k=1 Based on your location, we recommend that you select: . Copy. I tried that and it worked. Here is my code: Theme Copy clear; clc; Accelerating the pace of engineering and science, MathWorks es el lder en el desarrollo de software de clculo matemtico para ingenieros. Thank you. *heaviside (n-3); L = length (f); M = length (h (n)); out=L+M-1; y=zeros (1,out); for i = 1:L for k = 1:M y (i+k-1) = y (i+k-1) + h (k)*f; end end However, I get an error: Segn su ubicacin geogrfica, recomendamos que seleccione: . Linear Convolution of 2 signals Addition Addition can be carried out using the ' + ' symbol and plotting will give you the result. Accepted Answer: Michael Ndungi I'm trying to convolve audio signal with impulse response but every time it's giving error as "A & A must be in vector forms" Theme Copy [sig1, fs] = audioread ('mysong1.wav'); % import the song t = [1:length (sig1)]/fs; subplot (3,1,1) plot (t, sig1) % plot the song xlabel ('t (second)') Find the treasures in MATLAB Central and discover how the community can help you! Nyquist Sampling Theorem If a continuous time signal has no frequency . Accelerating the pace of engineering and science. And show the verification for your class work (if it is required). Other MathWorks country sites are not optimized for visits from your location. Similar quotes to "Eat the fish, spit the bones", '90s space prison escape movie with freezing trap scene. Asking for help, clarification, or responding to other answers. Toplotxk fork=2to = 7, which will include some zeros, we use these commands. skinny inner tube for 650b (38-584) tire? Your code will give you a vector of length, , so you'll get an error if you plot it against, which gives you the central part of the convolution of the same size as. *(heaviside(t+1)-heaviside(t-1)); c_x_h=conv(x_t1,h_t); figure(1) plot(t_c,c_x_h). Can you make an attack with a crossbow and then prepare a reaction attack using action surge without the crossbow expert feat? * (0<=n<=9); h (n)= ( (8/9)^n). Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide, The future of collective knowledge sharing. https://es.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals, https://es.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_156280, https://es.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_245066, https://es.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_583799, https://es.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_622126, https://es.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_622127, https://es.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_261185, https://es.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_494985. Segn su ubicacin geogrfica, recomendamos que seleccione: . Thank you. Microsoft PowerPoint - Convolution of Signals in MATLAB Author: dlm Created Date: 9/12/2011 6:03:40 PM . Thank you. For example: . I am given two functions x(t) =5[u(t+1)-u(t-1)] and h(t)=u(t-1)-u(t-7). in the Symbolic Math Toolbox to implement the continuous convolution integrals symbolically. But you can do it on paper as the signals are just shifted deltas. I am asked to convolve these two signals and plot the result in the range -3 to 10. Temporary policy: Generative AI (e.g., ChatGPT) is banned, Compute the convolution of two arrays in MATLAB. function. inorder to get the same vector size, you need to do this. Follow 19 views (last 30 days) Show older comments cikalekli on 4 Dec 2021 Vote Edited: Jaya on 4 Dec 2021 Accepted Answer: Jaya Ran in: Hi, I have a question about convolution of 2 signals. Impulse Response: An impulse response is what you usually get if the system in consideration is subjected to a short-duration time-domain signal. Why can't I get convolution to work properly in MATLAB? What are these planes and what are they doing? . *(heaviside(t+1)-heaviside(t-1)); c_x_h=conv(x_t1,h_t); figure(1) plot(t_c,c_x_h). Los sitios web de otros pases no estn optimizados para ser accedidos desde su ubicacin geogrfica. Please help. I didn't do by hand as I didn't have time. https://www.mathworks.com/matlabcentral/answers/1602950-convolving-two-signals-using-matlab, https://www.mathworks.com/matlabcentral/answers/1602950-convolving-two-signals-using-matlab#answer_847545, https://www.mathworks.com/matlabcentral/answers/1602950-convolving-two-signals-using-matlab#comment_1868350. It cannot be plotted. Eg : x= [1 2 3 4]; subplot (3,1,1); stem (x); title ('X'); y= [1 1 1 1]; subplot (3,1,2); stem (y); title ('Y'); z=x+y; subplot (3,1,3); stem (z); title ('Z=X+Y'); OUTPUT : Plot of Signal Addition With Same time Index *(heaviside(t+1)-heaviside(t-1)); c_x_h=conv(x_t1,h_t); figure(1) plot(t_c,c_x_h). Reload the page to see its updated state. Find the treasures in MATLAB Central and discover how the community can help you! I'had the same problem. example how to convolve without command conv. Thank you for the tip Rick. Me too amnclear as to why the dt is needed though and why t_c needed to be extended to -6 to 20. MathWorks is the leading developer of mathematical computing software for engineers and scientists. http://www.mathworks.com/matlabcentral/fileexchange/29832-n-dimensional-sparse-arrays, http://www.mathworks.in/matlabcentral/fileexchange/23402-convolution-in-matlab-without-using-convxh, this is for (n ) but what would I do if I need continuous convolution, That would be a symbolic operation. N:B: here g10 means the width of rectangular is 10(eg: -5 . Multiple boolean arguments - why is it bad? The max value should be 10 but in MATLAB i get 100. Reload the page to see its updated state. Thanks for contributing an answer to Stack Overflow! If I have x[n] = [n] + 2 [n-1]- 3 [n-4] and h[n] = 3 [n]+2 [n-1]. Thanks Bruno for making it loud and clear. https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#comment_652892, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#comment_652894, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#comment_769315, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#answer_353335, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#comment_652898, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#comment_652899, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#comment_652902, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#comment_652904, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#comment_652905, https://www.mathworks.com/matlabcentral/answers/436689-how-to-plot-convolution-of-2-functions#comment_652909. rev2023.6.27.43513. I am attaching the graph plotted from the two signals. What does it mean? Reload the page to see its updated state. Because the length of the convolution of two matrices of ,length m and n will be m+n-1. Learn more about convolution . I am given two functions x(t) =5[u(t+1)-u(t-1)] and h(t)=u(t-1)-u(t-7). 24 I have generated three identical waves with a phase shift in each. In some sense one is looking at a sum of the overlaps of one of the functions and all of the shifted versions of the other function. You can also select a web site from the following list. thanks for your help after importing the data i have four sets of values. I have two sets of data (x,y1) and (x,y2).I need to calculate the convolution between y1 and y2 and plot it vs x. MathWorks is the leading developer of mathematical computing software for engineers and scientists. I am given two functions x(t) =5[u(t+1)-u(t-1)] and h(t)=u(t-1)-u(t-7). since this is a simple convolution I verified it by hand and it does not look like the plot i get in MATLAB. What does it mean? Before we state the convolution properties, we rst introduce the notion of the signal duration. Unable to complete the action because of changes made to the page. Also, the duration of the function should be 8 but i get 4 with MATLAB. Accelerating the pace of engineering and science. Here is the code, extending the time vector furher out. Unable to complete the action because of changes made to the page. 1 Answer Sorted by: 1 Try replacing the conv line with this: N = length (vs); M = length (h); lout=N+M-1; vc=zeros (1,lout); for i = 1:N for k = 1:M vc (i+k-1) = vc (i+k-1) + h (k)*vs (i); end end It is a basic matlab implementation of the convolution formula Share Follow edited Sep 4, 2019 at 3:52 answered Sep 4, 2019 at 0:14 Jeremy Dorner Choose a web site to get translated content where available and see local events and offers. I shared my code at the end of the question. I tried that and it worked. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Find the treasures in MATLAB Central and discover how the community can help you! Other MathWorks country sites are not optimized for visits from your location. I'had the same problem. I need to do that in order to show on a plot the process. i want to plot the convolution of x=cos (wt) with frequency=10^6 and c=0.5 (1+square (wt)) with freequency=10^5 i tried with the code below but convolution signal graph wasn't appear >> fs=10^6; >> T=1/fs; >> tt=0:T/100:30*T; >> m=cos (2*pi*fs*tt); >> plot (tt,m) >> fc=10^5; >> c=0.5* (1+square (2*pi*fc*tt)); >> y=conv (m,c); >> plot (tt,y) You may receive emails, depending on your. You may receive emails, depending on your. w = conv (u,v) returns the convolution of vectors u and v. If u and v are vectors of polynomial coefficients, convolving them is equivalent to multiplying the two polynomials. There is any answer please. x=input('Enter x: ') h=input('Enter h: ') m=length(x); n=length(h); X=[x,zeros(1,n)]; H=[h,zeros(1,m)]; for i=1:n+m-1 Y(i)=0; for j=1:m if(i-j+1>0) Y(i)=Y(i)+X(j)*H(i-j+1); else end end end Y stem(Y); ylabel('Y[n]'); xlabel('----->n'); title('Convolution of Two Signals without conv function'); You may receive emails, depending on your. Los sitios web de otros pases no estn optimizados para ser accedidos desde su ubicacin geogrfica. 2023-05-09 05:11:27 Try This: I tried that and it worked. Convolution is the relation between the input and output of an LTI system. Find the treasures in MATLAB Central and discover how the community can help you! Accelerating the pace of engineering and science. Choose a web site to get translated content where available and see local events and offers. The max value should be 10 but in MATLAB i get 100. The duration of a signal is dened by the time instants and What is dt = t(2)-t(1)? Accelerating the pace of engineering and science. i have to import the data from excel. Because the length of the convolution of two matrices of ,length m and n will be m+n-1. Other MathWorks country sites are not optimized for visits from your location. https://it.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals, https://it.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_156280, https://it.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_245066, https://it.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_583799, https://it.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_622126, https://it.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_622127, https://it.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_261185, https://it.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_494985. yes completely agree with Bruno , so how can it be plotted? You can also select a web site from the following list. You could use the command. Accelerating the pace of engineering and science. Just to make sure its clear what others are saying: this is a numerical problem, therefore do not use symbolic variables. I'had the same problem. Choose a web site to get translated content where available and see local events and offers. I am unclear as to why the dt is needed though and why t_c needed to be extended to -6 to 20. Hello! Please help. Learn more about #convolution #matlab #signal_convolution . Tambin puede seleccionar uno de estos pases/idiomas: Seleccione China (en idioma chino o ingls) para obtener el mejor rendimiento. 1.1.7 Plotting discrete-time signals in MATLAB. I use it but i don't know why? Viewed 111 times 0 without using conv () command, I want to convolve two signals: This is the code I write: syms n k i f= @ (n) 2. I am unclear as to why the dt is needed though and why t_c needed to be extended to -6 to 20. I have to find the convolution between the two signals. Select the China site (in Chinese or English) for best site performance. Adjust Magnitude and Replot 9/12/2011. Select the China site (in Chinese or English) for best site performance. Examples of Convolution Matlab Following are the examples are given below: Example #1 Calculating convolution of two function in matlab. convolution analyt. I am asked to convolve these two signals and plot the result in the range -3 to 10. Convolving Two Signals Using Matlab. Choose a web site to get translated content where available and see local events and offers. Other MathWorks country sites are not optimized for visits from your location. Geometry nodes - Material Existing boolean value. https://www.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals, https://www.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_156280, https://www.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_245066, https://www.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_583799, https://www.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_622126, https://www.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_622127, https://www.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#answer_261185, https://www.mathworks.com/matlabcentral/answers/159760-plotting-the-convolution-of-two-signals#comment_494985. Plotting the convolution of two signals. However, since this is a simple convolution I verified it by hand and it does not look like the plot i get in MATLAB. Be careful, the amplitude given by conv is not correct, it should be multiplied by the step difference in x since conv is an summation approximation of the integral in Matlab. Because the length of the convolution of two matrices of ,length m and n will be m+n-1. What does it mean? Signal Processing Toolbox and DSP System Toolbox have several functions and Simulink blocks for direct . I siti MathWorks per gli altri paesi non sono ottimizzati per essere visitati dalla tua area geografica. I am sorry but I don't understand. Here is the code that I wrote: t=-3:0.1:10; t_c=-3:0.05:10; h_t=heaviside(t-1)-heaviside(t-7); x_t1=5. What is dt = t(2)-t(1)? Select the China site (in Chinese or English) for best site performance. The length of the result of convolving two vectors is the sum of the vector lengths. f g = g f. Find the treasures in MATLAB Central and discover how the community can help you! Skip to content. Learn more about convolution . Please help. You can also select a web site from the following list. I've never used the command conv and I'm not sure about it. Obtenga MATLAB; Productos; Soluciones; Educacin; Soporte; Comunidad; Eventos; Obtenga MATLAB; Inicie sesin . Unable to complete the action because of changes made to the page. The simplest is the stem plot.We let the discrete signal be =( 0 123 2010 ); (1) where the rst non-zero entry corresponds tok=0andthelasttok=5.For values of klarger than 5 or less than 0, xk=0. Why do microcontrollers always need external CAN tranceiver? I must use convolution in matlab. Did Roger Zelazny ever read The Lord of the Rings? You can also select a web site from the following list. Based on your location, we recommend that you select: . What does it mean? To learn more, see our tips on writing great answers. Not the answer you're looking for? (guide' code are just ready); Theme Copy option = get (handles.popupmenu1,'value'); option2 = get (handles.popupmenu2,'value'); Connect and share knowledge within a single location that is structured and easy to search. Reload the page to see its updated state. Thanks. Plot x[n], h[n], and then plot the convolution x[n]*h[n]. Learn more about convolution . Decide for yourself what the range of n should be. Signal Generation, Manipulation, and Analysis, You may receive emails, depending on your. In base alla tua area geografica, ti consigliamo di selezionare: . I am unclear as to why the dt is needed though and why t_c needed to be extended to -6 to 20. Is it correct to do simply like this? This paper presents several analytical and MATLAB based assignments that help students develop a better understanding of continuous-time convolution. Navigazione principale in modalit Toggle . The max value should be 10 but in MATLAB i get 100. Thank you for the tip Rick. I shared my code at the end of the question. inorder to get the same vector size, you need to do this. Plotting the convolution of two signals. Product Updates Correlation and Convolution Cross-correlation, autocorrelation, cross-covariance, autocovariance, linear and circular convolution Signal Processing Toolbox provides a family of correlation and convolution functions that let you detect signal similarities. Based on your location, we recommend that you select: . I am asked to convolve these two signals and plot the result in the range -3 to 10. Please help. Accelerating the pace of engineering and science. Choose a web site to get translated content where available and see local events and offers. The max value should be 10 but in MATLAB i get 100. It seems to do exactly what you want. Signal Generation, Manipulation, and Analysis, You may receive emails, depending on your. I have four columns of data with x and y values of two signals. General collection with the current state of complexity bounds of well-known unsolved problems? Hello! I also used an online convolution calculator to verify this. Use stem to plot the discrete-time impulse function: n = -10:10; f = (n == 0); stem(n,f) Use stem to plot the discrete-time step function: f = (n >= 0); stem(n,f) Make stem plots of the following signals. You can also select a web site from the following list. Accelerating the pace of engineering and science, MathWorks leader nello sviluppo di software per il calcolo matematico per ingegneri e ricercatori, Navigazione principale in modalit Toggle. (t-1)] and h(t)=u(t-1)-u(t-7). I'had the same problem. u (t)=sin (2*pi*f*t) g (t)=exp (-t/tau) Analytically or with con (,) ? There is any answer please. 6.1 Convolution of Continuous-Time Signals The continuous-timeconvolution of two signals and is dened by In this integral is a dummy variable of integration, and is a parameter. Step 1: Take an input signal and also define its length Step 2: Take an impulse response signal and define its length Step 3: Perform a convolution using a conv function on Matlab Step 4: If we want to plot three signals, we use a subplot and stem functions. Seleziona un sito web per visualizzare contenuto tradotto dove disponibile e vedere eventi e offerte locali. Here is the code that I wrote: t=-3:0.1:10; t_c=-3:0.05:10; h_t=heaviside(t-1)-heaviside(t-7); x_t1=5. Based on your location, we recommend that you select: . By clicking Post Your Answer, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct. inorder to get the same vector size, you need to do this. https://www.mathworks.com/matlabcentral/answers/57286-how-to-make-convolution-between-two-signals, https://www.mathworks.com/matlabcentral/answers/57286-how-to-make-convolution-between-two-signals#answer_69300, https://www.mathworks.com/matlabcentral/answers/57286-how-to-make-convolution-between-two-signals#answer_69295, https://www.mathworks.com/matlabcentral/answers/57286-how-to-make-convolution-between-two-signals#answer_69317, https://www.mathworks.com/matlabcentral/answers/57286-how-to-make-convolution-between-two-signals#comment_445087, https://www.mathworks.com/matlabcentral/answers/57286-how-to-make-convolution-between-two-signals#comment_445288. it should be multiplied by the step difference in x since conv is an summation approximation of the integral in Matlab. I am asked to convolve these two signals and plot the result in the range -3 to 10.

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plot convolution of two signals in matlab