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Chen am 2 Aug. 2018
Bearbeitet: KALYAN ACHARJYA am 4 Aug. 2018
I want to simulate a received signal which has three sins-wave signals at different frequencies with difference amplitudes and phases, say: (f(i), a(i), p(i)), i=1,2,3. The receiver has certain noise. The Rx noise compares with the received signal powers, we have SNR(i).
How do I model this signal in time-domain?
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KALYAN ACHARJYA am 3 Aug. 2018
Bearbeitet: KALYAN ACHARJYA am 3 Aug. 2018
%Here Sine signals, what you are expecting next?

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KALYAN ACHARJYA am 3 Aug. 2018
%Change the paramerts as per requirements
t=0:.01:13;
noiseAmplitude=randi(5);
noise=noiseAmplitude* rand(1, length(t));
w1=3;w2=4;w3=5;
amp=6;
phase=30;
y1=amp*sin(w1*t+phase)+ noise;
plot(y1,'r','linewidth',1.5);
hold on;
y2=1.3*amp*sin(w2*t+phase+10)+noise;
plot(y2,'linewidth',1.5);
y3=1.5*amp*sin(w3*t+phase+20)+noise;
plot(y3,'g','linewidth',1.5);
hold off;
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Chen am 3 Aug. 2018
Many thanks Kalyan for your example, can you let me know how can add the noise to each signal with specific SNRs, for example, in your example, we assume SNR for three signal are 10, -5, -15 dB, respectively. Cheers chen
KALYAN ACHARJYA am 4 Aug. 2018
Bearbeitet: KALYAN ACHARJYA am 4 Aug. 2018
For that you have to use some fixed value, I have used the random value
rand(1, length(t))
• Just assign data (Not random)
• find the SNR of the signal
• Do the back calculation, how much data assign required to find the required SNR

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