Question

Im trying to create a function in MATLAB that will calculate a function its exponential weights. Then I am supposed to plot it. Can I get help completing this code?

function f = fssyn(Dn, w0, dt, dur)
    t = 0:dt:dur;
    n = (length(Dn)-1)/2;

    for i = 1:length(t)
        f(i) = Dn*exp(j*[-n:n]'*w0*t)
    end;
  
    f = real(f)
    plot(f)
%FSSYN Function to synthesize a sum of cosine waves
% usage:
% fssyn(Dn, w0, dt, dur)
% Dn = vector of FS coeffs Dn=[D_{-N}, ... , D_{-1}, D_0, D_1, ..., D_N]
% w0 = fundamental frequency
% dt = time interval for plotting
% dur = total time duration of the signal to plot

Answer 1

Answer: here Main.m function is define to take input from user and call "fssyn.m" function

Main.m file is given below

clear all
close all ;
clc

% Dn = vector of FS coeffs Dn=[D_{-N}, ... , D_{-1}, D_0, D_1, ..., D_N]
% w0 = fundamental frequency
% dt = time interval for plotting
% dur = total time duration of the signal to plot

Dn = input('vector of FS coeffs Dn = [D_{-N}, ... , D_{-1}, D_0, D_1, ..., D_N] ');
dur = length(Dn);
dt = input('put the value of dt ') ;
w0 = input('put the value of w0 ') ;

%call the fssyn function
fssyn(Dn,w0,dt,dur)

fssyn.m file is given below

function f = fssyn(Dn, w0, dt, dur)
t = 0:dt:dur;
n = (length(Dn)-1)/2;

for j = 1:length(t)
f(j) = Dn*exp(i*[-n:n]'*w0*j)
end;
  
f = real(f)
plot(f)
%FSSYN Function to synthesize a sum of cosine waves

Result:

my input are given below:

vector of FS coeffs Dn = [D_{-N}, ... , D_{-1}, D_0, D_1, ..., D_N] [2 1 5 4 8 7 2]

put the value of dt 0.1

put the value of w0 2

result of the input are given below