Fourier Series Example Script - Revision history

Frohro: /* Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter */

2011-10-13T18:24:57Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

2011-10-13T18:23:53Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

← Older revision		Revision as of 11:23, 13 October 2011
Line 34:		Line 34:
	current =0;		current =0;
	for n=1:2:M,		for n=1:2:M,
	vin = vin+1./(n.pi).(3.sin(pi.n./2)-sin(3.n.pi. /2)).cos(2.pi.n.t./T);		vin = vin+1./(n.pi).(3.sin(pi.n./2)...
			-sin(3.n.pi. /2)).cos(2.pi.n.t./T);
	current = current+1./(sqrt(R.^2+1./...		current = current+1./(sqrt(R.^2+1./...
	((2.pi.n./T).^2C.^2))).1./(n.pi).(3.sin(pi.n./2)...		((2.pi.n./T).^2C.^2))).1./(n.pi).(3.sin(pi.n./2)...

2011-10-13T18:22:35Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

← Older revision		Revision as of 11:22, 13 October 2011
Line 36:		Line 36:
	vin = vin+1./(n.pi).(3.sin(pi.n./2)-sin(3.n.pi. /2)).cos(2.pi.n.t./T);		vin = vin+1./(n.pi).(3.sin(pi.n./2)-sin(3.n.pi. /2)).cos(2.pi.n.t./T);
	current = current+1./(sqrt(R.^2+1./...		current = current+1./(sqrt(R.^2+1./...
	((2.pi.n./T).^2C.^2))).1./(n.pi).(3.sin(pi.n./2)...		((2.pi.n./T).^2C.^2))).1./(n.pi).(3.sin(pi.n./2)...
	-sin(3.n.pi./2)).cos(2.pi.n.t./T-atan2(-1,2pin/TRC));		-sin(3.n.pi./2)).cos(2.pi.n.t./T-atan2(-1,2pin/TRC));
	end		end

2011-10-13T18:21:03Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

← Older revision		Revision as of 11:21, 13 October 2011
Line 34:		Line 34:
	current =0;		current =0;
	for n=1:2:M,		for n=1:2:M,
	vin = vin+1./(n.pi).(3.sin(pi.n./2)-sin(3.n.pi./2)).cos(2.pi.n.t./T);		vin = vin+1./(n.pi).(3.sin(pi.n./2)-sin(3.n.pi. /2)).cos(2.pi.n.t./T);
	current = current+1./(sqrt(R.^2+1./...		current = current+1./(sqrt(R.^2+1./...
	((2.pi.n./T).^2C.^2))).1./(n.pi).(3.sin(pi.n./2)...		((2.pi.n./T).^2C.^2))).1./(n.pi).(3.sin(pi.n./2)...
	-sin(3.n.pi./2)).cos(2.pi.n.t./T-atan2(-1,2pin/TRC));		-sin(3.n.pi./2)).cos(2.pi.n.t./T-atan2(-1,2pin/TRC));
	end		end
	vout=vin-R.*current;		vout=vin-R.*current;

2011-10-13T18:20:04Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

← Older revision		Revision as of 11:20, 13 October 2011
Line 35:		Line 35:
	for n=1:2:M,		for n=1:2:M,
	vin = vin+1./(n.pi).(3.sin(pi.n./2)-sin(3.n.pi./2)).cos(2.pi.n.t./T);		vin = vin+1./(n.pi).(3.sin(pi.n./2)-sin(3.n.pi./2)).cos(2.pi.n.t./T);
	current = current+1./(sqrt(R.^2+1./((2.pi.n./T).^2C.^2))).1./(n.pi).(3.sin(pi.n./2)-sin(3.n.pi./2)).cos(2.pi.n.t. /T-atan2(-1,2pin/TRC));		current = current+1./(sqrt(R.^2+1./...
			((2.pi.n./T).^2C.^2))).1./(n.pi).(3.sin(pi.n./2)...
			-sin(3.n.pi./2)).cos(2.pi.n.t./T-atan2(-1,2pin/TRC));
	end		end
	vout=vin-R.*current;		vout=vin-R.*current;

2010-10-07T00:58:34Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

← Older revision		Revision as of 17:58, 6 October 2010
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	The output produces a nice plot.		The output produces a nice plot.
	[[File:LowPass.png\|~~600px~~]]
			[[File:LowPass.png\|800px]]

2010-10-07T00:58:10Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

← Older revision		Revision as of 17:58, 6 October 2010
Line 48:		Line 48:

	The output produces a nice plot.		The output produces a nice plot.
	[[File:LowPass.png\|~~600pix~~]]		[[File:LowPass.png\|600px]]

2010-10-07T00:57:44Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

← Older revision		Revision as of 17:57, 6 October 2010
Line 21:		Line 21:

	===Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter===		===Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter===
	This goes with the [http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/ENGR351/2010f/Background/index.php class notes for October 1, 2010.] [[File:LowPassFilter.png]]		This goes with the [http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/ENGR351/2010f/Background/index.php class notes for October 1, 2010.]

			[[File:LowPassFilter.png]]

	clf;		clf;
Line 46:		Line 48:

	The output produces a nice plot.		The output produces a nice plot.
	[[File:LowPass.png\|~~800pix~~]]		[[File:LowPass.png\|600pix]]

2010-10-07T00:57:10Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

← Older revision		Revision as of 17:57, 6 October 2010
Line 46:		Line 46:

	The output produces a nice plot.		The output produces a nice plot.
	[[File:LowPass.png]]		[[File:LowPass.png\|800pix]]

2010-10-07T00:55:58Z

Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter

← Older revision		Revision as of 17:55, 6 October 2010
Line 21:		Line 21:

	===Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter===		===Fourier Series Solution for Sinusoidal Steady State Response of a Low Pass Filter===
	This goes with the [http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/ENGR351/2010f/Background/index.php class notes for October 1, 2010.]		This goes with the [http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/ENGR351/2010f/Background/index.php class notes for October 1, 2010.] [[File:LowPassFilter.png]]

	clf;		clf;