Problem generating a randomized signal

I want to create a zero baseline signal that extends for some time t. Throughout the duration of this signal, I would like to have 3000 randomized sinusoidal excitations. By randomized, I mean in terms of frequency, amplitude, width, and location of the event.

I'm not exactly sure how to create this. I created three randomized vectors using the rand function, one for abnormal amplitude, frequency, and width. However, I'm not sure how to specify the randomized location of each excitation. I have the following code so far:

clear all; clc;
addpath(genpath(pwd));

Fsam = 1000; %Sampling Frequency
YNo = 10;    %Number of years
ENo = 3000;  %Number of abnormal excitations                    

%Abnormal Signal Parameters
%%%%%%%%%%
This generates a randomized vector for Amplitude, Frequency, and Width of the abnormal excitations. The randomized values are rounded to the nearest integer
%%%%%%%%%%

a = 0;
b = 10;
Rand.AbAmp = a + (b-a).*rand(1,ENo);
Rand.AbFreq = a + (b-a).*rand(1,ENo);
Rand.AbWid = a + (b-a).*rand(1,ENo);

Rand.AbAmp = round(Rand.AbAmp);
Rand.AbFreq = round(Rand.AbFreq);
Rand.AbWid = round(Rand.AbWid);

%Time Parameters
T.Start = 0;                                %Time Start
T.End =   365*YNo;                          %Time End (years)
T.Step = 1/Fsam; %Sampling rate

Time.Ref = T.Start:T.Step:T.End;    %Time         

%Abnormal Signal Creation
Sig1 = Ab.Amp*sin(Ab.Freq*2*pi*Ab.Time + Ab.Phase);

Thanks for your help!

[Sarah]

Here is an example of the signal I would like to create:

http://i.imgur.com/zEFpMcb.png

Here, I created three sinusoidal excitations. I specified the amplitude, frequency, location, and width of each excitation. However, I would like the amplitude, frequency, and width of the sinusoidal excitations to be random. Also, I would like the location to be random. I would like 3000 events. I'm not sure how to create the entire signal...so that is what I need help with. I hope this makes things more clear.

Answer 1

[Sarah]

Here is an example of the signal I would like to create:

http://i.imgur.com/zEFpMcb.png

Here, I created three sinusoidal excitations. I specified the amplitude, frequency, location, and width of each excitation. However, I would like the amplitude, frequency, and width of the sinusoidal excitations to be random. Also, I would like the location to be random. I would like 3000 events. I'm not sure how to create the entire signal...so that is what I need help with. I hope this makes things more clear.