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2012数字信号处理英文实验书
The Course Experiment
of Digital Signal
Processing
Third Edition
Editor: Li Jun
Zhou Yaxun
2012. 9
Experiment 1
Discrete-Time Signals and Systems
Project 1 Illustration of Ensemble Averaging
s n n n , the Matlab
We assume for simplicity the original uncorrupted data is given by [ ] 2[ (0.9) ]
program to generate the ensemble average is given in Program 2_1, some statements have been
deleted, but needed to be added when running the program.
% Program 2_1
% Generation of the ensemble average complex
R = 50;
m = 0:R-1;
s = 2*m.*(0.9.^m); % Generate the uncorrupted signal
d = rand(R,1)-0.5; % Generate the random noise
for n = 1:R;
d = rand(R,1)-0.5;
... ...
... ...
end
x1 = x1/R;
stem(m,x1);
xlabel(Time index n);ylabel(Amplitude); title(Ensemble average);
Question:
(1) Using program2_1, generate and plot the above data s[n ] and the noise d [n] shown in Figure
2.6 of Page 48 in the textbook
(2) Using program2_1, generate and plot one sample of the noise-corrupted data s[n ]+ d [n] and the
i
ensemble average obtain after 50 measurements shown in Figure 2.7 of Page 48 in the textbook
Project 2 Complex exponential sequence generation
MATLAB includes a number of functions that can be used for signal generation. The complete
code to generate a length-N complex exponential sequence with an exponent a + jb is given in
program 2_2 below.
% Program 2_2
% Generation of comple
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