Quadrature sampling waveform plot - HW10 - Revision history

Max.Woesner at 06:31, 2 December 2009

2009-12-02T06:31:14Z

← Older revision		Revision as of 23:31, 1 December 2009
Line 35:		Line 35:
	Running the MATLAB script above gives us the following plot.<br>		Running the MATLAB script above gives us the following plot.<br>

	[[Image:Quadrature sampling.jpg]]		[[Image:Quadrature sampling.jpg]]<br>

			Summing over a smaller range of <math> n \!</math> would look like the following.<br>
			<pre>
			clear all;
			close all;
			sum = 0;
			T = 1;
			t = -T:0.001:T;
			N = 100;
			for n = 1:N;
			if n==0
			h = 0;
			else
			h = 2/T;
			end
			sum = sum+hsin(2pint/T);
			end
			plot(t,sum)
			title('Quadrature Sampling Waveform')
			xlabel('time(T)')
			ylabel('Sampling Waveform')
			</pre><br>

			[[Image:Quadrature sampling2.jpg]]

Max.Woesner at 06:17, 13 November 2009

2009-11-13T06:17:04Z

← Older revision		Revision as of 23:17, 12 November 2009
Line 7:		Line 7:
	Plot <math> \ \frac{2}{T} \sum_{n=1}^\infty sin\bigg(\frac{2 \pi nt}{T}\bigg) \!</math><br><br>		Plot <math> \ \frac{2}{T} \sum_{n=1}^\infty sin\bigg(\frac{2 \pi nt}{T}\bigg) \!</math><br><br>
	<b>Solution</b><br>		<b>Solution</b><br>

			While we can't sum to infinity in the computer, we can get a close approximation summing over a large enough range of <math> n \!</math><br>

			I found summing over <math> n = 1:1000 \!</math> was about the most the computer could handle reasonably.<br>

			The following script was written in MATLAB to produce the desired plot. <br>
			<pre>
			clear all;
			close all;
			sum = 0;
			T = 1;
			t = -T:0.0001:T;
			N = 1000;
			for n = 1:N;
			if n==0
			h = 0;
			else
			h = 2/T;
			end
			sum = sum+hsin(2pint/T);
			end
			plot(t,sum)
			title('Quadrature Sampling Waveform')
			xlabel('time(T)')
			ylabel('Sampling Waveform')
			</pre><br>
			Running the MATLAB script above gives us the following plot.<br>

			[[Image:Quadrature sampling.jpg]]

Max.Woesner: New page: == Max Woesner == Back to my Home Page === Homework #10 - Quadrature sampling waveform plot ===
Problem Statement

Plot $\ \frac{2}{T} \sum_{n=1}^...$

2009-11-13T01:49:24Z

New page: == Max Woesner == Back to my Home Page === Homework #10 - Quadrature sampling waveform plot === Problem Statement Plot <math> \ \frac{2}{T} \sum_{n=1}^...

New page

== Max Woesner ==
[[Max Woesner|Back to my Home Page]]

=== Homework #10 - Quadrature sampling waveform plot ===

 Problem Statement 
Plot <math> \ \frac{2}{T} \sum_{n=1}^\infty sin\bigg(\frac{2 \pi nt}{T}\bigg) \!</math> 
Solution

Quadrature sampling waveform plot - HW10 - Revision history

Max.Woesner at 06:31, 2 December 2009

Max.Woesner at 06:17, 13 November 2009

Max.Woesner: New page: == Max Woesner == Back to my Home Page === Homework #10 - Quadrature sampling waveform plot === Problem Statement Plot \ \frac{2}{T} \sum_{n=1}^...

Max.Woesner: New page: == Max Woesner == Back to my Home Page === Homework #10 - Quadrature sampling waveform plot ===
Problem Statement

Plot $\ \frac{2}{T} \sum_{n=1}^...$