【滤波器】基于FIR+IIR滤波器实现音频信号去噪含Matlab源码
【滤波器】基于FIR+IIR滤波器实现音频信号去噪含Matlab源码
TT_Matlab
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1 简介
针对传统的滤波器设计方法效率低,方法复杂,不能满足高效高精度的需要等缺点,基于 MATLAB 研究了分别使用窗函数法和双线性变换法的 FIR 和 IIR 滤波器.将加入噪声的信号分别通过两种滤波器,滤除加入的噪声,对滤波前后的信号进行对比分析.通过仿真实验表明, FIR 滤波器与 IIR 的 Butterworth 滤波器都能很好地克服传统滤波器的不足,通过语谱图直观地对比发现基于窗函数法设计 FIR 滤波器比双线性法设计的 Butterworth 滤波器能更好地达到预定的去噪效果.
2 部分代码
function varargout = filter_2(varargin)
% FILTER_2 MATLAB code
for
filter_2.fig
% FILTER_2, by itself, creates a new FILTER_2
or
raises the existing
% singleton*.
%
% H = FILTER_2 returns the handle to a new FILTER_2
or
the handle to
% the existing singleton*.
%
% FILTER_2(
’CALLBACK’
,hObject,eventData,handles,...) calls the local
% function named CALLBACK
in
FILTER_2.M with the given input arguments.
%
% FILTER_2(
’Property’
,
’Value’
,...) creates a new FILTER_2
or
raises the
% existing singleton*. Starting from the left, property value pairs are
% applied to the GUI before filter_2_OpeningFcn gets called. An
% unrecognized property name
or
invalid value makes property application
% stop. All inputs are passed to filter_2_OpeningFcn via varargin.
%
% *See GUI Options on GUIDE
’s Tools menu. Choose "GUI allows only one
% instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES
% Edit the above text to modify the response to help filter_2
% Last Modified by GUIDE v2.5 16-May-2013 12:02:23
% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct(’
gui_Name
’, mfilename, ...
’
gui_Singleton
’, gui_Singleton, ...
’
gui_OpeningFcn
’, @filter_2_OpeningFcn, ...
’
gui_OutputFcn
’, @filter_2_OutputFcn, ...
’
gui_LayoutFcn
’, [] , ...
’
gui_Callback
’, []);
if nargin && ischar(varargin{1})
gui_State.gui_Callback = str2func(varargin{1});
end
if nargout
[varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
else
gui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT
% --- Executes just before filter_2 is made visible.
function filter_2_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject handle to figure
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% varargin command line arguments to filter_2 (see VARARGIN)
global response;
global analog;
global window1;
global digital;
global analog_choose;
response=1;
analog=1;
analog_choose=1;
window1=1;
digital=1;
%set(handles.function_value,’
String
’,’
Butterworth
’);
%set(handles.method_value,’
String
’,’
direct form
’);
set(handles.order,’
Enable
’,’
off
’);
% Choose default command line output for filter_2
handles.output = hObject;
% Update handles structure
guidata(hObject, handles);
% UIWAIT makes filter_2 wait for user response (see UIRESUME)
% uiwait(handles.figure1);
% --- Outputs from this function are returned to the command line.
function varargout = filter_2_OutputFcn(hObject, eventdata, handles)
% varargout cell array for returning output args (see VARARGOUT);
% hObject handle to figure
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Get default command line output from handles structure
varargout{1} = handles.output;
% --- Executes on button press in IIR_button.
function IIR_button_Callback(hObject, eventdata, handles)
% hObject handle to IIR_button (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
global analog_choose;
global response;
global analog;
if(get(hObject,’
Value
’)==1) %当选中IIR时屏蔽FIR模块
set(handles.order_information,’
String
’,’
order
’);
set(handles.FIR_button,’
Value
’,0);
set(handles.filter_information,’
String
’,’
IIR
’);
set(handles.window_function,’
Enable
’,’
off
’);
set(handles.order,’
Enable
’,’
off
’);
set(handles.view_window,’
Enable
’,’
off
’);
set(handles.analog_filter,’
Enable
’,’
on
’);
set(handles.Apass,’
Enable
’,’
on
’);
set(handles.Astop,’
Enable
’,’
on
’);
set(handles.order,’
Enable
’,’
off
’);
set(handles.specify_order,’
Enable
’,’
on
’); set(handles.specify_order,’
Value
’,0);%对阶数的处理
set(handles.custom_order,’
Enable
’,’
on
’);set(handles.custom_order,’
String
’,’
’);
set(handles.min_order,’
Enable
’,’
on
’);set(handles.min_order,’
Value
’,0);
%get(handles.analog_method,’
Value
’);
if( analog_choose==1)
set(handles.method_value,’
String
’,’
direct form
’);
else
set(handles.method_value,’
String
’,’
bilinear
’);
end
switch(analog)
case 1
set(handles.function_value,’
String
’,’
Butterworth
’);
case 2
set(handles.function_value,’
String
’,’
chebyshev1
’);
case 3
set(handles.function_value,’
String
’,’
chebyshev2
’);
end
switch(response)
case 1
set(handles.type_information,’
String
’,’
Lowpass
’);
case 2
set(handles.type_information,’
String
’,’
Highpass
’);
case 3
set(handles.type_information,’
String
’,’
Bandpass
’);
case 4
set(handles.type_information,’
String
’,’
Bandstop
’);
end
else
set(handles.window_function,’
Enable
’,’
on
’);
set(handles.order,’
Enable
’,’
on
’);
set(handles.view_window,’
Enable
’,’
on
’);
set(handles.order,’
Enable
’,’
on
’);
end
% Hint: get(hObject,’
Value
’) returns toggle state of IIR_button
% --- Executes on button press in FIR_button.
function FIR_button_Callback(hObject, eventdata, handles)
% hObject handle to FIR_button (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
global digital;
global response;
global window1;
if(get(hObject,’
Value
’)==1) %当选中FIR时屏蔽IIR模块
set(handles.IIR_button,’
Value
’,0);
set(handles.filter_information,’
String
’,’
FIR
’);
set(handles.window_function,’
Enable
’,’
on
’);
% set(handles.order,’
Enable
’,’
on
’);
set(handles.view_window,’
Enable
’,’
on
’);
set(handles.analog_filter,’
Enable
’,’
off
’);
set(handles.Apass,’
Enable
’,’
off
’);
set(handles.Astop,’
Enable
’,’
off
’);
%set(handles.order,’
Enable
’,’
on
’);
if(digital==2)%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%处理阶数
set(handles.specify_order,’
Enable
’,’
off
’);
set(handles.custom_order,’
Enable
’,’
off
’);
set(handles.min_order,’
Enable
’,’
off
’);
set(handles.window_function,’
Enable
’,’
off
’);
set(handles.view_window,’
Enable
’,’
off
’);
set(handles.order_information,’
String
’,’
sample
’)
set(handles.order,’
Enable
’,’
on
’);
end
switch(response)
case 1
set(handles.type_information,’
String
’,’
Lowpass
’);
case 2
set(handles.type_information,’
String
’,’
Highpass
’);
case 3
set(handles.type_information,’
String
’,’
Bandpass
’);
case 4
set(handles.type_information,’
String
’,’
Bandstop
’);
end
if(digital==1)
set(handles.method_value,’
String
’,’
window
’);
else
set(handles.method_value,’
String
’,’
FSI
’);
end
switch(window1)
case 1
set(handles.function_value,’
String
’,’
Hamming
’);
case 2
set(handles.function_value,’
String
’,’
Blackman
’);
case 3
set(handles.function_value,’
String
’,’
Hann
’);
case 4
set(handles.function_value,’
String
’,’
Rectangular
’);
end
else
set(handles.analog_filter,’
Enable
’,’
on
’);
set(handles.Apass,’
Enable
’,’
on
’);
set(handles.Astop,’
Enable
’,’
on
’);
set(handles.order,’
Enable
’,’
off
’);
end
% Hint: get(hObject,’
Value
’) returns toggle state of FIR_button
% --- If Enable == ’
on
’, executes on mouse press in 5 pixel border.
% --- Otherwise, executes on mouse press in 5 pixel border or over filter_information.
function filter_information_ButtonDownFcn(hObject, eventdata, handles)
% hObject handle to filter_information (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
function Fs_edit_Callback(hObject, eventdata, handles)
% hObject handle to Fs_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Hints: get(hObject,’
String
’) returns contents of Fs_edit as text
% str2double(get(hObject,’
String
’)) returns contents of Fs_edit as a double
% --- Executes during object creation, after setting all properties.
function Fs_edit_CreateFcn(hObject, eventdata, handles)
% hObject handle to Fs_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: edit controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
function Fstop1_edit_Callback(hObject, eventdata, handles)
% hObject handle to Fstop1_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Hints: get(hObject,’
String
’) returns contents of Fstop1_edit as text
% str2double(get(hObject,’
String
’)) returns contents of Fstop1_edit as a double
% --- Executes during object creation, after setting all properties.
function Fstop1_edit_CreateFcn(hObject, eventdata, handles)
% hObject handle to Fstop1_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: edit controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
function Fpass1_edit_Callback(hObject, eventdata, handles)
% hObject handle to Fpass1_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Hints: get(hObject,’
String
’) returns contents of Fpass1_edit as text
% str2double(get(hObject,’
String
’)) returns contents of Fpass1_edit as a double
% --- Executes during object creation, after setting all properties.
function Fpass1_edit_CreateFcn(hObject, eventdata, handles)
% hObject handle to Fpass1_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: edit controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
function Fpass2_edit_Callback(hObject, eventdata, handles)
% hObject handle to Fpass2_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Hints: get(hObject,’
String
’) returns contents of Fpass2_edit as text
% str2double(get(hObject,’
String
’)) returns contents of Fpass2_edit as a double
% --- Executes during object creation, after setting all properties.
function Fpass2_edit_CreateFcn(hObject, eventdata, handles)
% hObject handle to Fpass2_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: edit controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
function Fstop2_edit_Callback(hObject, eventdata, handles)
% hObject handle to Fstop2_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Hints: get(hObject,’
String
’) returns contents of Fstop2_edit as text
% str2double(get(hObject,’
String
’)) returns contents of Fstop2_edit as a double
% --- Executes during object creation, after setting all properties.
function Fstop2_edit_CreateFcn(hObject, eventdata, handles)
% hObject handle to Fstop2_edit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: edit controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
% --- Executes on selection change in filter_type.
function filter_type_Callback(hObject, eventdata, handles)
% hObject handle to filter_type (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
global response;
val=get(hObject,’
Value
’);
switch val
case 1
set(handles.type_information,’
String
’,’
Lowpass
’);
set(handles.Fstop1,’
String
’,’
Fstop
’);
set(handles.Fpass1,’
String
’,’
Fpass
’);
set(handles.Fpass2,’
Visible
’,’
off
’);%当为低通滤波器时屏蔽Fpass2 Fstop2并把Fstop1 Fpass1设为Fstop Fpass
set(handles.Fstop2,’
Visible
’,’
off
’);
set(handles.Fpass2_edit,’
Visible
’,’
off
’);
set(handles.Fstop2_edit,’
Visible
’,’
off
’);
response=1;
case 2
set(handles.type_information,’
String
’,’
Highpass
’);
set(handles.Fstop1,’
String
’,’
Fstop
’);
set(handles.Fpass1,’
String
’,’
Fpass
’);
set(handles.Fpass2,’
Visible
’,’
off
’);%当为高通滤波器时屏蔽Fpass2 Fstop2并把Fstop1 Fpass1设为Fstop Fpass
set(handles.Fstop2,’
Visible
’,’
off
’);
set(handles.Fpass2_edit,’
Visible
’,’
off
’);
set(handles.Fstop2_edit,’
Visible
’,’
off
’);
response=2;
case 3
set(handles.type_information,’
String
’,’
Bandpass
’);
set(handles.Fstop1,’
String
’,’
Fstop1
’);
set(handles.Fpass1,’
String
’,’
Fpass1
’);
set(handles.Fpass2,’
Visible
’,’
on
’);%当为高通滤波器时屏蔽Fpass2 Fstop2并把Fstop1 Fpass1设为Fstop Fpass
set(handles.Fstop2,’
Visible
’,’
on
’);
set(handles.Fpass2_edit,’
Visible
’,’
on
’);
set(handles.Fstop2_edit,’
Visible
’,’
on
’);
response=3;
case 4
set(handles.type_information,’
String
’,’
Bandstop
’);
set(handles.Fstop1,’
String
’,’
Fstop1
’);
set(handles.Fpass1,’
String
’,’
Fpass1
’);
set(handles.Fpass2,’
Visible
’,’
on
’);%当为高通滤波器时屏蔽Fpass2 Fstop2并把Fstop1 Fpass1设为Fstop Fpass
set(handles.Fstop2,’
Visible
’,’
on
’);
set(handles.Fpass2_edit,’
Visible
’,’
on
’);
set(handles.Fstop2_edit,’
Visible
’,’
on
’);
response=4;
otherwise
set(handles.type_information,’
String
’,’
Lowpass
’);
set(handles.Fstop1,’
String
’,’
Fstop
’);
set(handles.Fpass1,’
String
’,’
Fpass
’);
set(handles.Fpass2,’
Visible
’,’
off
’);%当为低通滤波器时屏蔽Fpass2 Fstop2并把Fstop1 Fpass1设为Fstop Fpass
set(handles.Fstop2,’
Visible
’,’
off
’);
set(handles.Fpass2_edit,’
Visible
’,’
off
’);
set(handles.Fstop2_edit,’
Visible
’,’
off
’);
response=1;
end
guidata(hObject, handles);
% Hints: contents = cellstr(get(hObject,’
String
’)) returns filter_type contents as cell array
% contents{get(hObject,’
Value
’)} returns selected item from filter_type
% --- Executes during object creation, after setting all properties.
function filter_type_CreateFcn(hObject, eventdata, handles)
% hObject handle to filter_type (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: popupmenu controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
% --- Executes on selection change in analog_filter.
function analog_filter_Callback(hObject, eventdata, handles)
% hObject handle to analog_filter (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
global analog;
val_1=get(hObject,’
Value
’);
switch val_1
case 1
%set(handles.analog_filter,’
String
’,’
Butterworth
’);
analog=1;set(handles.function_value,’
String
’,’
Butterworth
’);%反馈IIR滤波器设计所用到的函数
case 2
set(handles.function_value,’
String
’,’
ChebyshevI
’);
analog=2;
case 3
set(handles.function_value,’
String
’,’
ChebyshevII
’);
analog=3;
otherwise
set(handles.function_value,’
String
’,’
Butterworth
’);
analog=1;
end
guidata(hObject, handles);
% Hints: contents = cellstr(get(hObject,’
String
’)) returns analog_filter contents as cell array
% contents{get(hObject,’
Value
’)} returns selected item from analog_filter
% --- Executes during object creation, after setting all properties.
function analog_filter_CreateFcn(hObject, eventdata, handles)
% hObject handle to analog_filter (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: popupmenu controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
% --- Executes on selection change in digital_filter.
function digital_filter_Callback(hObject, eventdata, handles)
% hObject handle to digital_filter (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
global digital;
val_2=get(hObject,’
Value
’);
set(handles.order_information,’
String
’,’
order
’);
switch val_2
case 1
% set(handles.digital_filter,’
String
’,’
window
’);
digital=1; set(handles.method_value,’
String
’,’
window function
’);%反馈IIR滤波器的方法
set(handles.view_window,’
Enable
’,’
on
’);
set(handles.window_function,’
Enable
’,’
on
’);
set(handles.specify_order,’
Enable
’,’
on
’); set(handles.specify_order,’
Value
’,0);
set(handles.custom_order,’
Enable
’,’
on
’);set(handles.custom_order,’
String
’,’
’);
set(handles.min_order,’
Enable
’,’
on
’);set(handles.min_order,’
Value
’,0);
if(get(handles.FIR_button,’
Value
’))
set(handles.order,’
Enable
’,’
off
’);end;
case 2
% set(handles.digital_filter,’
String
’,’
frequency response invariance
’);
digital=2; set(handles.method_value,’
String
’,’
FSI
’);
set(handles.view_window,’
Enable
’,’
off
’);
set(handles.window_function,’
Enable
’,’
off
’);
set(handles.order,’
Enable
’,’
on
’);
if(get(handles.FIR_button,’
Value
’)==1)
set(handles.specify_order,’
Enable
’,’
off
’);
set(handles.custom_order,’
Enable
’,’
off
’);
set(handles.min_order,’
Enable
’,’
off
’);
set(handles.window_function,’
Enable
’,’
off
’);
set(handles.view_window,’
Enable
’,’
off
’);
set(handles.order_information,’
String
’,’
sample
’);
end
otherwise
% set(handles.digital_filter,’
String
’,’
window
’);
digital=1;set(handles.method_value,’
String
’,’
window function
’);
end
guidata(hObject, handles);
% Hints: contents = cellstr(get(hObject,’
String
’)) returns digital_filter contents as cell array
% contents{get(hObject,’
Value
’)} returns selected item from digital_filter
% --- Executes during object creation, after setting all properties.
function digital_filter_CreateFcn(hObject, eventdata, handles)
% hObject handle to digital_filter (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: popupmenu controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
% --- Executes on selection change in window_function.
function window_function_Callback(hObject, eventdata, handles)
global window1;
val_4=get(hObject,’
Value
’);
switch val_4
case 1
window1=1;set(handles.function_value,’
String
’,’
Hamming
’);%反馈函数信息
case 2
window1=2; set(handles.function_value,’
String
’,’
Blackman
’);
case 3
window1=3;set(handles.function_value,’
String
’,’
Hann
’);
case 4
window1=4; set(handles.function_value,’
String
’,’
Rectangular
’);
otherwise
% set(handles.digital_filter,’
String
’,’
window
’);
window1=1;
end
guidata(hObject, handles);
% hObject handle to window_function (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Hints: contents = cellstr(get(hObject,’
String
’)) returns window_function contents as cell array
% contents{get(hObject,’
Value
’)} returns selected item from window_function
% --- Executes during object creation, after setting all properties.
function window_function_CreateFcn(hObject, eventdata, handles)
% hObject handle to window_function (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: popupmenu controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
% --- Executes on button press in view_window.
function Apass_Callback(hObject, eventdata, handles)
% hObject handle to Apass (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Hints: get(hObject,’
String
’) returns contents of Apass as text
% str2double(get(hObject,’
String
’)) returns contents of Apass as a double
% --- Executes during object creation, after setting all properties.
function Apass_CreateFcn(hObject, eventdata, handles)
% hObject handle to Apass (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: edit controls usually have a white background on Windows.
% See ISPC and COMPUTER.
if ispc && isequal(get(hObject,’
BackgroundColor
’), get(0,’
defaultUicontrolBackgroundColor
’))
set(hObject,’
BackgroundColor
’,’
white
’);
end
function Astop_Callback(hObject, eventdata, handles)
% hObject handle to Astop (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
3 仿真结果
4 参考文献
[1]洪灿梅, 刘爱莲, 刘名扬,等. FIR滤波器与IIR滤波器去噪效果对比研究[J]. 微型机与应用, 2015, 34(21):4.
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