- Added utilities for frequency planning
- Changed freq plane to: Fs 4096, int/dec 8X, Mixers 768
This commit is contained in:
canisio
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<?xml version="1.0" encoding="UTF-8"?>
|
||||
<Info>
|
||||
<Category UUID="FileClassCategory">
|
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<Label UUID="design"/>
|
||||
</Category>
|
||||
</Info>
|
||||
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<?xml version="1.0" encoding="UTF-8"?>
|
||||
<Info location="txspectrum.m" type="File"/>
|
||||
@@ -0,0 +1,6 @@
|
||||
<?xml version="1.0" encoding="UTF-8"?>
|
||||
<Info>
|
||||
<Category UUID="FileClassCategory">
|
||||
<Label UUID="design"/>
|
||||
</Category>
|
||||
</Info>
|
||||
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||||
<?xml version="1.0" encoding="UTF-8"?>
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<Info location="plotspectrum.m" type="File"/>
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<?xml version="1.0" encoding="UTF-8"?>
|
||||
<Info>
|
||||
<Category UUID="FileClassCategory">
|
||||
<Label UUID="design"/>
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||||
</Category>
|
||||
</Info>
|
||||
@@ -0,0 +1,2 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<Info location="rxadcfs.m" type="File"/>
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@@ -0,0 +1,6 @@
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<?xml version="1.0" encoding="UTF-8"?>
|
||||
<Info>
|
||||
<Category UUID="FileClassCategory">
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||||
<Label UUID="design"/>
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||||
</Category>
|
||||
</Info>
|
||||
@@ -0,0 +1,2 @@
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<?xml version="1.0" encoding="UTF-8"?>
|
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<Info location="ntext4.m" type="File"/>
|
||||
@@ -0,0 +1,6 @@
|
||||
<?xml version="1.0" encoding="UTF-8"?>
|
||||
<Info>
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<Category UUID="FileClassCategory">
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<Label UUID="design"/>
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</Category>
|
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</Info>
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@@ -0,0 +1,2 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<Info location="programBoard.m" type="File"/>
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@@ -0,0 +1,6 @@
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<?xml version="1.0" encoding="UTF-8"?>
|
||||
<Info>
|
||||
<Category UUID="FileClassCategory">
|
||||
<Label UUID="design"/>
|
||||
</Category>
|
||||
</Info>
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@@ -0,0 +1,2 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<Info location="rxspectrum.m" type="File"/>
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81
utilities/ntext4.m
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81
utilities/ntext4.m
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function t=ntext4(x,y,txt,NVargs)
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arguments
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x (1,1) double
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y (1,1) double
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txt string = ""
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end
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arguments
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NVargs.?matlab.graphics.primitive.Text
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end
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varargin = namedargs2cell(NVargs);
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t=text(x,y,txt,varargin{:});
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% A variable to distinguish if the User changed the font size or these
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% functions.
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addprop(t,"ResizingText_changingFontSize");
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%The original sizes needed for the calculation
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addprop(t,"ResizingText_rFontSize");
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addprop(t,"ResizingText_rFontUnits");
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addprop(t,"ResizingText_origAxisSize");
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% A listener to listen for changes in the axes size
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addprop(t,"ResizingText_axisL");
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t.ResizingText_changingFontSize = false; % Since we are building it we
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% aren't yet changing the size
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t.CreateFcn = @(S,~) initializeListeners(S);
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initializeListeners(t)
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end
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function initializeListeners(t)
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fontSizeListenerCB(t); % Stores values since we aren't change size.
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a = t.Parent;
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axisL = listener(a,"SizeChanged", @(~,~) axesListenerCB(t));
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t.ResizingText_axisL=axisL;
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addlistener(t,"FontSize","PostSet", @(~,~) fontSizeListenerCB(t));
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addlistener(t,"Parent","PostSet", @(~,~) parentListenerCB(t));
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end
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function axesListenerCB(t)
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a = t.Parent;
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axesUnits = a.Units;
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fontUnits = t.FontUnits;
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a.Units = "pixels";
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t.FontUnits = t.ResizingText_rFontUnits;
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rFontSize = t.ResizingText_rFontSize;
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axSize = t.ResizingText_origAxisSize;
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curhsize = axSize(3);
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curvsize = axSize(4);
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t.ResizingText_changingFontSize=true;
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t.FontSize = min(rFontSize*a.Position(3)/curhsize,rFontSize*a.Position(4)/curvsize);
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t.ResizingText_changingFontSize=false;
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t.FontUnits = fontUnits;
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a.Units = axesUnits;
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end
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function fontSizeListenerCB(t)
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if ~t.ResizingText_changingFontSize
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t.ResizingText_rFontSize = t.FontSize;
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t.ResizingText_rFontUnits = t.FontUnits;
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if ~isempty(t.Parent)
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a = t.Parent;
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aUnits = a.Units;
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a.Units = "pixels";
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t.ResizingText_origAxisSize = t.Parent.Position;
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a.Units = aUnits;
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end
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end
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end
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function parentListenerCB(t)
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a = t.Parent;
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aUnits = a.Units;
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a.Units = "pixels";
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t.ResizingText_origAxisSize = t.Parent.Position;
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a.Units = aUnits;
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end
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58
utilities/plotspectrum.m
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58
utilities/plotspectrum.m
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function h = plotspectrum(type, centers, bandwidth, color, unit, varargin)
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for n = 1:numel(centers)
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center = centers(n);
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switch type
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case 'sym'
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x = [-1, -1, 0, 1, 1] * (bandwidth/2) + center;
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y = [ 0, 0.5, 1, 0.5, 0];
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case 'asym'
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x = [-1, -1, 1, 1] * (bandwidth/2) + center;
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y = [0, 0.5, 1, 0];
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case 'asymflip'
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x = [-1, -1, 1, 1] * (bandwidth/2) + center;
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y = [0, 1, 0.5, 0];
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otherwise
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error('Invalid type.');
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end
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switch unit
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case 'Hz'
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factor = 1;
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case 'kHz'
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factor = 1e3;
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case 'MHz'
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factor = 1e6;
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case 'GHz'
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factor = 1e9;
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otherwise
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error('Invalid unit');
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end
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tmp = patch(x/factor, y, color, varargin{:});
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if n == 1
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h = tmp;
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else
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h = [h, tmp]; %#ok<AGROW>
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end
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end
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switch unit
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case 'Hz'
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xlabel('Frequency (Hz)', 'FontWeight', 'bold')
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case 'kHz'
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xlabel('Frequency (kHz)', 'FontWeight', 'bold')
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case 'MHz'
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xlabel('Frequency (MHz)', 'FontWeight', 'bold')
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case 'GHz'
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xlabel('Frequency (GHz)', 'FontWeight', 'bold')
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otherwise
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error('Invalid unit');
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end
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a = gca;
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a.XAxis.FontWeight = 'bold';
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end
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15
utilities/programBoard.m
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15
utilities/programBoard.m
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%% Manual Board Solution Files Download
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h = zynq('linux','192.168.1.101');
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h.putFile('design_1_wrapper.bit','/mnt');
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h.putFile('soc_prj.output.dtb','/mnt');
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h.putFile('RF_Init.cfg','/mnt');
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h.putFile('init.sh','/mnt');
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%%
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h.system('fw_setbitstream /mnt/design_1_wrapper.bit');
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h.system('fw_setdevicetree /mnt/soc_prj.output.dtb');
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pause(0.1)
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h.system('cp /mnt/RF_Init.cfg /mnt/hdlcoder_rd/RF_Init.cfg');
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h.system('reboot');
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91
utilities/rxadcfs.m
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91
utilities/rxadcfs.m
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function T = rxadcfs(fl, fh, mts)
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%Use this function to find allowable frequencies
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%
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%%
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% SYNTAX: T = rxadcfs(fl, fh, mts(optional));
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%
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% DESCRIPTION: Apply the bandpass sampling theorem and Nyquist sampling theorem
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% to calculate all good sampling rates to avoid spectral overlap.
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%
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% INPUT: - fl (real double)
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% Lowest frequency of the real-valued bandpass signal. Unit =
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% Hz.
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%
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% - fh (real double)
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% Highest frequency of the real-valued bandpass signal. Unit =
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% Hz.
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% - mts set to 1 to limit results for use with multi tile
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% sync enables
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%
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% OUTPUT: - T (table)
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% Table of all good sampling rates. Valid columns are:
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%
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% T.theory = either 'Bandpass' (for Bandpass sampling theorem)
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% or 'Nyquist' (for Nyquist sampling theorem).
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%
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% T.n = n is variable in the Bandpass sampling theorem and n
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% is an integer. n is NaN for Nyquist sampling theorem.
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%
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% T.Fs_LO_Hz = lowest sampling rate in Hz.
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%
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% T.Fs_HI_Hz = highest sampling rate in Hz.
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%
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%% Initialize s.
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s = struct;
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s.Theory = categorical({});
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s.n = [];
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s.Fs_LO_Hz = [];
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s.Fs_HI_Hz = [];
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if (nargin == 3) && mts == 1
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mtsList = [737.28, 1474.56, 1966.08, 2457.6, 2949.12, 3072, 3932.16, 4669.44, 4915.2, 5898.24, 6144];
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%% Bandpass Sampling Theorem. Calculate all good sampling rates.
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for n = floor(fh / (fh - fl)) : -1 : 2
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% look for valid mts frequencies only if selected
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for mtsIndex = 1:length(mtsList)
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if mtsList(mtsIndex)*1e6 >= 2 * fh / n && mtsList(mtsIndex)*1e6 <= 2 * fl / (n - 1)
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s.Theory(end+1, 1) = 'Bandpass';
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s.n(end+1, 1) = n;
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s.Fs_LO_Hz(end+1, 1) = mtsList(mtsIndex);%2 * fh / n;
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s.Fs_HI_Hz(end+1, 1) = mtsList(mtsIndex);%2 * fl / (n - 1);
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end %if mtsList...
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end %for mtsIndex...
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end %for n = floor...
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else
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%% Bandpass Sampling Theorem. Calculate all good sampling rates.
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for n = floor(fh / (fh - fl)) : -1 : 2
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s.Theory(end+1, 1) = 'Bandpass';
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s.n(end+1, 1) = n;
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s.Fs_LO_Hz(end+1, 1) = 2 * fh / n;
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s.Fs_HI_Hz(end+1, 1) = 2 * fl / (n - 1);
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end
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end
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if (nargin == 3) && mts == 1
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mtsList = [737.28, 1474.56, 1966.08, 2457.6, 2949.12, 3072, 3932.16, 4669.44, 4915.2, 5898.24, 6144];
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%% Nyquist Sampling Theorem. Calculate all good sampling rates.
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for mtsIndex = 1:length(mtsList)
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if mtsList(mtsIndex)*1e6 >= 2 * fh && mtsList(mtsIndex)*1e6 <= inf
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||||
s.Theory(end+1, 1) = 'Nyquist';
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s.n(end+1, 1) = NaN;
|
||||
s.Fs_LO_Hz(end+1, 1) = mtsList(mtsIndex);%2 * fh;
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||||
s.Fs_HI_Hz(end+1, 1) = mtsList(mtsIndex);%Inf;
|
||||
end
|
||||
end
|
||||
else
|
||||
%% Nyquist Sampling Theorem. Calculate all good sampling rates.
|
||||
s.Theory(end+1, 1) = 'Nyquist';
|
||||
s.n(end+1, 1) = NaN;
|
||||
s.Fs_LO_Hz(end+1, 1) = 2 * fh;
|
||||
s.Fs_HI_Hz(end+1, 1) = Inf;
|
||||
end
|
||||
|
||||
%% Convert s to T.
|
||||
T = struct2table(s);
|
||||
|
||||
|
||||
end
|
||||
|
||||
301
utilities/rxspectrum.m
Normal file
301
utilities/rxspectrum.m
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|
||||
function rxspectrum(scenario, fc, bw, fs, fshift, L)
|
||||
|
||||
if( nargin == 0)
|
||||
fprintf('Use this function to plot your Receive spectrum\n');
|
||||
fprintf('\n');
|
||||
fprintf('First argument is to run 8 example scenarios.\n');
|
||||
fprintf('rxpsectrum(1) or rxspectrum(2)...to plot and study various scenarios\n');
|
||||
fprintf('\n');
|
||||
fprintf('For custom numbers function can be called as follows\n');
|
||||
fprintf('rxspectrum([], center frequency, data bandwidth, sampling frequency,shift or carrier frequency, x-axis plotting limit(optional arugment)\n');
|
||||
elseif (nargin == 1)
|
||||
%% System Parameters
|
||||
sys = [];
|
||||
sys.scenario = scenario;
|
||||
switch sys.scenario
|
||||
case 1
|
||||
% Good Scenario. Nyquist sampling theorem.
|
||||
%
|
||||
% The sampling rate of 4 GHz is high enough to satisfy Nyquist sampling
|
||||
% theorem.
|
||||
%
|
||||
% Use Nyquist Zone 1.
|
||||
sys.fc = 1e9;
|
||||
sys.bw = 300e6;
|
||||
sys.fs = 4e9;
|
||||
sys.fshift = -1e9;
|
||||
L = 7;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
case 2
|
||||
% Good Scenario. Bandpass sampling theorem.
|
||||
%
|
||||
% The sampling rate of 3 GHz is not high enough to satisfy Nyquist sampling
|
||||
% theorem but it is one of the good sampling rates from bandpass sampling
|
||||
% theorem.
|
||||
%
|
||||
% Use Nyquist Zone 2.
|
||||
sys.fc = 3e9;
|
||||
sys.bw = 300e6;
|
||||
sys.fs = 4e9;
|
||||
sys.fshift = 1e9;
|
||||
L = 7;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
case 3
|
||||
% Bad Scenario.
|
||||
%
|
||||
% Sampling rate does not satisfy Nyquist nor bandpass sampling theorem.
|
||||
%
|
||||
% Spectrum overlaps (completely or partially).
|
||||
sys.fc = 3e9;
|
||||
sys.bw = 300e6;
|
||||
sys.fs = 2.4e9; % Complete Overlap
|
||||
% sys.fs = 5.8e9; % Partial Overlap
|
||||
sys.fshift = -0.6e9;
|
||||
L = 10;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
case 4
|
||||
% Bad Scenario.
|
||||
%
|
||||
% Sampling rate satisifies bandpass sampling theorem but spectra touch each
|
||||
% other.
|
||||
%
|
||||
% Unless we have an ideal brick wall lowpass filter, we cannot recover the
|
||||
% signal at 3 GHz.
|
||||
sys.fc = 3e9;
|
||||
sys.bw = 300e6;
|
||||
sys.fs = 5.7e9;
|
||||
sys.fshift = 2.7e9;
|
||||
L = 10;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
case 5
|
||||
% Solution to scenario 4. Spectra no longer touch either other.
|
||||
%
|
||||
% But we cannot use Xilinx hard IP decimate-by-2.
|
||||
sys.fc = 3e9;
|
||||
sys.bw = 300e6;
|
||||
sys.fs = 3.4e9;
|
||||
sys.fshift = 0.4e9;
|
||||
L = 8;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
case 6
|
||||
% Solution to scenario 5. Spectra no longer touch either other and we can
|
||||
% use Xilinx hard IP decimate-by-2.
|
||||
sys.fc = 3e9;
|
||||
sys.bw = 300e6;
|
||||
sys.fs = 4e9;
|
||||
sys.fshift = 1e9;
|
||||
L = 8;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
case 7
|
||||
% Same problem even with Nyquist sampling theorem.
|
||||
sys.fc = 1.5e9;
|
||||
sys.bw = 300e6;
|
||||
sys.fs = 4e9;
|
||||
sys.fshift = -1.5e9;
|
||||
L = 7;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
case 8
|
||||
sys.fc = 1.5e9;
|
||||
sys.bw = 300e6;
|
||||
sys.fs = 2e9;
|
||||
sys.fshift = -0.5e9;
|
||||
L = 7;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
otherwise
|
||||
error('Invalid sys.scenario');
|
||||
end % switch
|
||||
end %if(nargin == 1)
|
||||
if (nargin == 5)
|
||||
%% System Parameters
|
||||
sys = [];
|
||||
sys.scenario = scenario;
|
||||
sys.fc = fc;
|
||||
sys.bw = bw;
|
||||
sys.fs = fs;
|
||||
sys.fshift = fshift;
|
||||
L = 7;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
end
|
||||
if (nargin == 6)
|
||||
%% System Parameters
|
||||
sys = [];
|
||||
sys.scenario = scenario;
|
||||
sys.fc = fc;
|
||||
sys.bw = bw;
|
||||
sys.fs = fs;
|
||||
sys.fshift = fshift;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
end
|
||||
sys.xunit = 'GHz';
|
||||
|
||||
|
||||
%%
|
||||
if isempty(findobj('Number', sys.scenario))
|
||||
figure(sys.scenario)
|
||||
set(gcf, 'Position', [27 82 1180 638])
|
||||
else
|
||||
figure(sys.scenario)
|
||||
clf
|
||||
end
|
||||
|
||||
|
||||
%%
|
||||
Nsubplots = 5;
|
||||
subplot(Nsubplots, 1, 1);
|
||||
xlim(sys.xlim);
|
||||
xticks(sys.xticks);
|
||||
set(gca, 'Position', [0.04 0.8720 0.9277 0.09])
|
||||
plotspectrum('asym', sys.fc, sys.bw, 'r', sys.xunit);
|
||||
plotspectrum('asymflip', -sys.fc, sys.bw, 'r', sys.xunit);
|
||||
title(sprintf('Analog Bandpass Signal (Center = %.2f GHz. BW = %d MHz.)', ...
|
||||
sys.fc/1e9, sys.bw/1e6), 'FontSize', 12);
|
||||
plotannotations(sys.fs, 1);
|
||||
set(get(gca, 'XAxis'), 'FontSize', 11);
|
||||
|
||||
|
||||
%%
|
||||
subplot(Nsubplots, 1, 2);
|
||||
xlim(sys.xlim);
|
||||
xticks(sys.xticks);
|
||||
set(gca, 'Position', [0.04 0.6720 0.9277 0.09])
|
||||
title(sprintf('Sampling Images (Towards +ve Frequencies). Fs = %.2f GHz.', ...
|
||||
sys.fs/1e9), 'FontSize', 12);
|
||||
for n = 1:8
|
||||
f1 = sys.fc + n*sys.fs;
|
||||
f2 = -sys.fc + (n*sys.fs);
|
||||
plotspectrum('asym', f1, sys.bw, 'b', sys.xunit);
|
||||
plotspectrum('asymflip', f2, sys.bw, 'b', sys.xunit);
|
||||
end
|
||||
set(get(gca, 'XAxis'), 'FontSize', 11);
|
||||
|
||||
|
||||
%%
|
||||
subplot(Nsubplots, 1, 3);
|
||||
xlim(sys.xlim);
|
||||
xticks(sys.xticks);
|
||||
set(gca, 'Position', [0.04 0.4720 0.9277 0.09])
|
||||
title(sprintf('Sampling Images (Towards -ve Frequencies). Fs = %.2f GHz.', ...
|
||||
sys.fs/1e9), 'FontSize', 12);
|
||||
for n = -1:-1:-8
|
||||
f1 = sys.fc + n*sys.fs;
|
||||
f2 = -sys.fc + (n*sys.fs);
|
||||
plotspectrum('asym', f1, sys.bw, 'c', sys.xunit);
|
||||
plotspectrum('asymflip', f2, sys.bw, 'c', sys.xunit);
|
||||
end
|
||||
set(get(gca, 'XAxis'), 'FontSize', 11);
|
||||
|
||||
|
||||
%%
|
||||
subplot(Nsubplots, 1, 4);
|
||||
xlim(sys.xlim);
|
||||
xticks(sys.xticks);
|
||||
set(gca, 'Position', [0.04 0.2720 0.9277 0.09])
|
||||
title(sprintf('Real Digital Signal (Fs = %.2f GHz. BW %d MHz.)', ...
|
||||
sys.fs/1e9, sys.bw/1e6), 'FontSize', 12)
|
||||
n = -8:8;
|
||||
f1 = sys.fc + n*sys.fs;
|
||||
f2 = -sys.fc + (n*sys.fs);
|
||||
plotspectrum('asym', f1, sys.bw, 'r', sys.xunit);
|
||||
plotspectrum('asymflip', f2, sys.bw, 'r', sys.xunit);
|
||||
plotannotations(sys.fs, 0);
|
||||
set(get(gca, 'XAxis'), 'FontSize', 11);
|
||||
|
||||
|
||||
%%
|
||||
subplot(Nsubplots, 1, 5);
|
||||
xlim(sys.xlim);
|
||||
xticks(sys.xticks);
|
||||
set(gca, 'Position', [0.04 0.0720 0.9277 0.09])
|
||||
title(sprintf(['Complex Baseband Signal (Fs = %.2f GHz. BW %d MHz. ', ...
|
||||
'fshift = %.2f GHz)'], sys.fs/1e9, sys.bw/1e6, sys.fshift/1e9), ...
|
||||
'FontSize', 12);
|
||||
f1 = f1 + sys.fshift;
|
||||
f2 = f2 + sys.fshift;
|
||||
plotspectrum('asym', f1, sys.bw, 'r', sys.xunit);
|
||||
plotspectrum('asymflip', f2, sys.bw, 'r', sys.xunit);
|
||||
plotannotations(sys.fs, 0);
|
||||
set(get(gca, 'XAxis'), 'FontSize', 11);
|
||||
Fs = sys.fs / 1e9;
|
||||
x = [-Fs/2, -Fs/4, -Fs/4, Fs/4, Fs/4, Fs/2];
|
||||
y = [0.25, 0.25, 0.75, 0.75, 0.25, 0.25];
|
||||
hold on
|
||||
plot(x, y, 'k--', 'LineWidth', 2)
|
||||
|
||||
|
||||
end
|
||||
|
||||
|
||||
% ------------------------------------------------------------------------------
|
||||
% Helper Functions
|
||||
% ------------------------------------------------------------------------------
|
||||
|
||||
|
||||
function plotannotations(fs, zone)
|
||||
|
||||
%% Plot DC.
|
||||
xline(0, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
y = 0.9;
|
||||
addtext1(0, y, '0')
|
||||
|
||||
%% Plot fs/2.
|
||||
xline(fs/2/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
xline(-fs/2/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
addtext1(0 + fs/2/1e9, y, 'Fs/2')
|
||||
addtext1(0 - fs/2/1e9, y, '-Fs/2')
|
||||
|
||||
%% Plot fs.
|
||||
xline(fs/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
xline(-fs/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
addtext1(0 + fs/1e9, y, 'Fs')
|
||||
addtext1(0 - fs/1e9, y, '-Fs')
|
||||
|
||||
%% Plot 3*fs/2.
|
||||
xline(fs*1.5/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
xline(-fs*1.5/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
addtext1(0 + 1.5*fs/1e9, y, '3*Fs/2')
|
||||
addtext1(0 - 1.5*fs/1e9, y, '-3*Fs/2')
|
||||
|
||||
% %% Plot ...
|
||||
% ntext4(0 + 1.6*fs/1e9, 0.6, '...', 'FontSize', 30, 'FontWeight', 'bold');
|
||||
% ntext4(0 - 1.7*fs/1e9, 0.6, '...', 'FontSize', 30, 'FontWeight', 'bold');
|
||||
|
||||
% %%
|
||||
% if zone == 1
|
||||
% addtext2(0.7, 0.65, {'Nyquist', 'Zone 1'})
|
||||
% addtext2(0.7 + fs/2/1e9, 0.65, {'Nyquist', 'Zone 2'})
|
||||
% % addtext2(0.7 + fs/1e9, 0.65, {'Nyquist', 'Zone 3'})
|
||||
% end
|
||||
|
||||
end
|
||||
|
||||
|
||||
function addtext1(x, y, t)
|
||||
|
||||
h = ntext4(x, y, t);
|
||||
h.FontSize = 15;
|
||||
h.FontWeight = 'bold';
|
||||
h.HorizontalAlignment = 'center';
|
||||
|
||||
end
|
||||
|
||||
|
||||
function addtext2(x, y, t)
|
||||
|
||||
h = ntext4(x, y, t);
|
||||
h.FontSize = 15;
|
||||
h.FontWeight = 'bold';
|
||||
h.Color = [0 0.4470 0.7410];
|
||||
h.HorizontalAlignment = 'center';
|
||||
|
||||
end
|
||||
|
||||
244
utilities/txspectrum.m
Normal file
244
utilities/txspectrum.m
Normal file
@@ -0,0 +1,244 @@
|
||||
function txspectrum(scenario, bw, fs, fshift, L)
|
||||
if nargin == 0
|
||||
fprintf('Use this function to plot your Transmit spectrum\n');
|
||||
fprintf('\n');
|
||||
fprintf('First argument is to run 5 example scenarios. \n');
|
||||
fprintf('txpsectrum(1) or txspectrum(2)...to plot and study various scenarios\n');
|
||||
fprintf('\n');
|
||||
fprintf('For custom numbers function can be called as follows\n');
|
||||
fprintf('txspectrum([], data bandwidth, sampling frequency,shift or carrier frequency, x-axis plotting limit(optional arugment)\n');
|
||||
elseif (nargin == 1)
|
||||
%% System Parameters
|
||||
sys = [];
|
||||
sys.scenario = scenario;
|
||||
switch sys.scenario
|
||||
case 1
|
||||
% Use Nyquist Zone 1 to tx signal at center frequency = 1 GHz with Fs = 4
|
||||
% GHz.
|
||||
sys.fs = 4e9;
|
||||
sys.bw = 400e6;
|
||||
sys.fshift = 1e9;
|
||||
L = 7;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
case 2
|
||||
% Use Nyquist Zone 2 to tx signal at center frequency = 3 GHz with Fs = 4
|
||||
% GHz.
|
||||
sys.fs = 4e9;
|
||||
sys.bw = 400e6;
|
||||
sys.fshift = -1e9;
|
||||
L = 7;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
case 3
|
||||
% This is a difficult scenario. We want to tx the signal at center frequency
|
||||
% = 1.8 GHz. But with Fs = 4 GHz, there is also a copy of the spectrum
|
||||
% centered at 2.2 GHz touching the spectrum at 1.8 GHz. Unless we have a
|
||||
% ideal brick-wall analog lowpass filter, we cannot remove the spectrum at
|
||||
% 2.2 GHz.
|
||||
%
|
||||
sys.fs = 4e9;
|
||||
sys.bw = 400e6;
|
||||
sys.fshift = 1.8e9;
|
||||
L = 7;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = sort([-L : -3, -1 : 1, 3:L, 1.8, -1.8, 2.2, -2.2]);
|
||||
case 4
|
||||
% This scenario is a solution to scenario 3. There are two key ideas:
|
||||
%
|
||||
% (1) When converting complex baseband signal to real bandpass signal, use
|
||||
% a value of fshift that is large enough to avoid overlap between the
|
||||
% spectra at +ve frequency and -ve frequency. In our example, the
|
||||
% complex baseband signal has frequency content from -200 MHz to 200
|
||||
% MHz, so we can pick fshift = -400 MHz and the spectrum at -400 MHz
|
||||
% does not overlap with the spectrum at 400 MHz.
|
||||
%
|
||||
% (2) Digital signal's spectrum repeats every Fs. Use this fact to create
|
||||
% spectrum at higher frequency. We have the desired spectrum at -0.4
|
||||
% GHz and so use Fs = 2.2 GHz to create the spectrum at -0.4 GHz + 2.2
|
||||
% GHz = 1.8 GHz.
|
||||
%
|
||||
% In this scenario, we use a lower sampling rate of 2.2 GHz and use Nyquist
|
||||
% zone 2 to transmit our signal at 1.8 GHz. Now there is a resonable gap
|
||||
% between the spectrum at 1.8 GHz and the spectrum at 2.6 GHz and we can
|
||||
% rely on a bandpass filter to filter everything except the the spectrum at
|
||||
% 1.8 GHz.
|
||||
%
|
||||
sys.fs = 2.2e9;
|
||||
sys.bw = 400e6;
|
||||
sys.fshift = -0.4e9;
|
||||
L = 5;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = sort([-L : L, 1.8, -1.8, 2.2, -2.2, 0.4, -0.4, 2.6, -2.6]);
|
||||
case 5
|
||||
% Better solution than scenario 4.
|
||||
sys.fs = 2.6e9;
|
||||
sys.bw = 400e6;
|
||||
sys.fshift = -0.8e9;
|
||||
L = 5;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = sort([-L : L, 1.8, -1.8, 2.2, -2.2, 0.4, -0.4, 2.6, -2.6]);
|
||||
otherwise
|
||||
error('Invalid sys.scenario');
|
||||
end
|
||||
elseif (nargin == 4) %if(nargin == 1)
|
||||
|
||||
%% System Parameters
|
||||
sys = [];
|
||||
sys.scenario = scenario;
|
||||
sys.bw = bw;
|
||||
sys.fs = fs;
|
||||
sys.fshift = fshift;
|
||||
L = 7;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
elseif (nargin == 5)
|
||||
%% System Parameters
|
||||
sys = [];
|
||||
sys.scenario = scenario;
|
||||
sys.bw = bw;
|
||||
sys.fs = fs;
|
||||
sys.fshift = fshift;
|
||||
sys.xlim = [-L L];
|
||||
sys.xticks = -L : L;
|
||||
end
|
||||
sys.xunit = 'GHz';
|
||||
|
||||
|
||||
%%
|
||||
if nargin > 0
|
||||
if isempty(findobj('Number', sys.scenario))
|
||||
figure(sys.scenario)
|
||||
set(gcf, 'Position', [227 140 1231 617])
|
||||
else
|
||||
figure(sys.scenario)
|
||||
clf
|
||||
end
|
||||
|
||||
|
||||
%%
|
||||
subplot(311)
|
||||
xlim(sys.xlim);
|
||||
xticks(sys.xticks);
|
||||
set(gca, 'Position', [0.0463 0.7521 0.9277 0.18])
|
||||
f1 = 0 + (-4:4)*sys.fs;
|
||||
plotspectrum('asym', f1, sys.bw, 'r', sys.xunit);
|
||||
s = sprintf('Complex Baseband (Fs = %.2f GHz. BW = %d MHz)', ...
|
||||
sys.fs/1e9, sys.bw/1e6);
|
||||
plotannotations(sys.fs, s)
|
||||
addtext3(-4.5, 1.15, '|Z(f)|')
|
||||
|
||||
|
||||
%%
|
||||
subplot(312)
|
||||
xlim(sys.xlim);
|
||||
xticks(sys.xticks);
|
||||
set(gca, 'Position', [0.0463 0.4221 0.9277 0.18])
|
||||
f1 = f1 + sys.fshift;
|
||||
plotspectrum('asym', f1, sys.bw, 'r', sys.xunit);
|
||||
s = sprintf('Complex Bandpass (Fs = %.2f GHz. ', sys.fs/1e9);
|
||||
if abs(sys.fshift) >= 1e9
|
||||
s = [s, sprintf('fshift = %.2f GHz)', sys.fshift/1e9)];
|
||||
else
|
||||
s = [s, sprintf('fshift = %d MHz)', sys.fshift/1e6)];
|
||||
end
|
||||
plotannotations(sys.fs, s)
|
||||
addtext3(-4.5, 1.15, '|U(f)|')
|
||||
|
||||
|
||||
%%
|
||||
subplot(313)
|
||||
xlim(sys.xlim);
|
||||
xticks(sys.xticks);
|
||||
set(gca, 'Position', [0.0463 0.0921 0.9277 0.18])
|
||||
f2 = -f1;
|
||||
plotspectrum('asym', f1, sys.bw, 'r', sys.xunit);
|
||||
plotspectrum('asymflip', f2, sys.bw, 'r', sys.xunit);
|
||||
s = sprintf('Real Bandpass (Fs = %.2f GHz)', sys.fs/1e9);
|
||||
plotannotations(sys.fs, s)
|
||||
addtext3(-4.5, 1.15, '|S(f)| = |Y(f)|')
|
||||
|
||||
|
||||
end
|
||||
end
|
||||
|
||||
|
||||
% ------------------------------------------------------------------------------
|
||||
% Helper Functions
|
||||
% ------------------------------------------------------------------------------
|
||||
|
||||
|
||||
function plotannotations(fs, titlestr)
|
||||
|
||||
%% Plot DC.
|
||||
xline(0, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
y = 0.9;
|
||||
addtext1(0, y, '0')
|
||||
|
||||
%% Plot fs/2.
|
||||
xline(fs/2/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
xline(-fs/2/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
addtext1(0 + fs/2/1e9, y, 'fs/2')
|
||||
addtext1(0 - fs/2/1e9, y, '-fs/2')
|
||||
|
||||
%% Plot fs.
|
||||
xline(fs/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
xline(-fs/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
addtext1(0 + fs/1e9, y, 'fs')
|
||||
addtext1(0 - fs/1e9, y, '-fs')
|
||||
|
||||
%% Plot 3*fs/2.
|
||||
xline(fs*1.5/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
xline(-fs*1.5/1e9, 'LineWidth', 3, 'Color', 'g', 'LineStyle', '--')
|
||||
addtext1(0 + 1.5*fs/1e9, y, '3*fs/2')
|
||||
addtext1(0 - 1.5*fs/1e9, y, '-3*fs/2')
|
||||
|
||||
%% Plot ...
|
||||
ntext4(0 + 1.6*fs/1e9, 0.6, '...', 'FontSize', 30, 'FontWeight', 'bold');
|
||||
ntext4(0 - 1.7*fs/1e9, 0.6, '...', 'FontSize', 30, 'FontWeight', 'bold');
|
||||
|
||||
%%
|
||||
addtext2(fs/4/1e9, 0.7, {'Nyquist', 'Zone 1'})
|
||||
addtext2(fs/4/1e9 + fs/2/1e9, 0.7, {'Nyquist', 'Zone 2'})
|
||||
% addtext2(fs/4/1e9 + fs/1e9, 0.7, {'Nyquist', 'Zone 3'})
|
||||
|
||||
%% Title.
|
||||
title(titlestr, 'FontSize', 12);
|
||||
|
||||
%%
|
||||
h = gca;
|
||||
h.XAxis.FontSize = 11;
|
||||
|
||||
end
|
||||
|
||||
|
||||
function addtext1(x, y, t)
|
||||
|
||||
h = ntext4(x, y, t);
|
||||
h.FontSize = 15;
|
||||
h.FontWeight = 'bold';
|
||||
h.HorizontalAlignment = 'center';
|
||||
|
||||
end
|
||||
|
||||
|
||||
function addtext2(x, y, t)
|
||||
|
||||
h = ntext4(x, y, t);
|
||||
h.FontSize = 15;
|
||||
h.FontWeight = 'bold';
|
||||
h.Color = [0 0.4470 0.7410];
|
||||
h.HorizontalAlignment = 'center';
|
||||
|
||||
end
|
||||
|
||||
|
||||
function addtext3(x, y, t)
|
||||
|
||||
h = ntext4(x, y, t);
|
||||
h.FontSize = 20;
|
||||
h.FontWeight = 'bold';
|
||||
h.Color = 'r';
|
||||
h.HorizontalAlignment = 'center';
|
||||
|
||||
end
|
||||
Reference in New Issue
Block a user