Generating time vector and sinusoids

Question

Nick 2015-10-23

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/250564-generating-time-vector-and-sinusoids

回答： Sahdev Patel 2020-9-10

I have an assignment to plot 2 sinusoids and i got stuck. My task is: Generate a time vector (tt) to cover a range of t that will exhibit approximately two cycles of the 4000 Hz sinusoids defined in the next part. If we use T to denote the period of the sinusoids, define the starting time of the vector tt to be equal to −T, and the ending time as +T. Then the two cycles will include t = 0. Finally, make sure that you have at least 25 samples per period of the sinusoidal wave. In other words, when you use the colon operator to define the time vector, make the increment small enough to generate 25 samples per period. Afterwards Generate two 4000 Hz sinusoids with arbitrary amplitude and time-shift. x1(t) = A1 cos(2π(4000)(t − tm1)) and x2(t) = A2 cos(2π(4000)(t − tm2))

A1 being 18, A2 being 1.2A1. tm1 being (37.2/11)T and tm2 being -(-41.3/27)T where T is period and t is time vector

My code is:

if true
  % code
end
A1=18;
A2=1.2*18;
f = 4000;            % sinusoid freq
T = 1/f;            % period 
fs = T/25;       % time step
tt = -T:fs:T;     % time vector
tm1=(37.2/11)*T;
tm2=-(41.3/27)*T;
X1=A1*cos(2*pi*(4000))*(tt-tm1);
subplot(3,1,1);
plot(tt,X1),grid on
title('Sinusoid #1') 
hold on
X2=A2*cos(2*pi*(4000))*(tt-tm2);
subplot(3,1,2)
plot(tt,X2),grid on