%?Matlab?Program?to?demonstrate?the?concpet?of?“Signal?Smoothing“?
%?Signal?Smoothing?or?Averaging?is?the?Fundamental?Noise?Reduction?Tool?in
%?1-D?Signal?Processing?Such?as?a?Monotonic?Signal?Speech?or?Voice.
clc;
clear?all;
close?all;
%?Initialise?the?Time?
t?=?0:0.001:1;???%?0?--?Starting?Time?0.001--?Sampling?Time?1?--?Ending?Time
%?reading?the?size?of?the?time
[mn]?=?size（t）;
%?Generation?of?sine?wave
%?amplitude
a?=?2;
%?frequency
f?=?4;
%?sine?wave?argument?according?to?the?definition
y?=?a*sin（2*pi*f*t）;
%?Generation?of?Random?signal?using?“rand“?command?in?the?matlab?
%?Please?see?the?sintax?of?“rand“?command?by?typing?help?rand?in?the?matlab
%?command?window
r?=?rand（mn）;
%?Note:?Observer?that?we?generated?the?random?signal?in?the?matlab?using
%?rand?function?such?that?size?of?the?signal?and?random?signal?both?are
%?similar.?
%?Adding?both?signal?and?noise
y1?=?（y?+?r）;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%Implementation?of?Moving?Average?Filter?or?Smoothing?Filter%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%?Algorithm:
%???????????????X（n-1）?+?X（n）?+?X（n+1）
%????Y（n）?=?????----------------------???
%?????????????????????????3
%???????????????
%??????????????here?X（n）?=?noise?effected?signal
%????????????????????Y（n）?=?Smoothed?or?averaged?signal
%?therefore
%?Let‘s?Initiliaze?the?for?loop?from?2:n-1?in?order?to?validate?the?real
%?meaning?of?（n-1）?and?（n+1）
%?let?the?ouput?smoothed?signal?is?y2（n）
%?Let‘s?create?an?empty?array?y2（n）?size?equal?to?the?size?of?the?input
%?signal
y2?=?zeros（mn）;

for?i?=?2:（n-1）
????y2（i）?=?（y1（i-1）?+?y1（i）?+?y1（i+1））/3;
end

%?therefore?y2（i）?will?be?the?smoothed?signal
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%?Lets?plot?the?signals?and?see?the?output

subplot（411）;
plot（ty）;?title（‘input?signal‘）;
subplot（412）;
plot（tr）;?title（‘random?signal‘）;
subplot（413）;
plot（ty1）;?title（‘noise?added?signal‘）;
subplot（414）;
plot（ty2）;?title（‘smoothed?signal‘）;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%?Please?try?this?implementation?an?extension
%?initiate?a?for?loop?for?2-4?times?and?make?y2?=?y1?i.e.?we?are?making
%?a?feed?back?it?becomes?a?recursive?filter?this?will?be?the?first?step
%?towards?the?implementation?of?Recursive?filter
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%?For?any?questions?please?send?a?mail?to?samudrala.naren@gmail.com
%?Implemented?by?:?Jagadeesh?Samudrala?Asst.?Prof.?Dept.?of?ECE?Aditya
%?Engineering?College.?
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
????

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件????????2779??2015-09-26?04:10??signal_smoothing.m
?????文件????????1549??2015-09-26?04:10??license.txt