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 January 22nd, 2017, 07:56 AM #1 Member   Joined: Nov 2014 From: SG Posts: 55 Thanks: 1 Sampled signal - Z transform I managed to solve Q1(a) but how do I solve for Q1(b)? Last edited by KaiL; January 22nd, 2017 at 08:13 AM. January 22nd, 2017, 05:00 PM #2 Senior Member   Joined: Sep 2015 From: USA Posts: 2,531 Thanks: 1390 what is $1(k)$ and $1(t)$ ? January 22nd, 2017, 06:37 PM   #3
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 Originally Posted by romsek what is $1(k)$ and $1(t)$ ?
Unit step.

$\displaystyle \mathscr{Z} \{ 1(t) \} = \dfrac{1}{1 - z^{-1}}$ January 22nd, 2017, 07:32 PM #4 Senior Member   Joined: Sep 2015 From: USA Posts: 2,531 Thanks: 1390 sampled at rate $f_s = \dfrac 1 T$ $f(n) = \alpha t 1(t)= \alpha n T,~n=0,1,\dots$ $F(z) = \displaystyle{\sum_{n=0}^\infty}~\alpha n T z^{-n}$ $F(z) = \alpha T \displaystyle{\sum_{n=0}^\infty}~\ n z^{-n}$ $F(z) = \alpha T \dfrac{z}{(z-1)^2}$ January 23rd, 2017, 03:11 AM   #5
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 Originally Posted by romsek sampled at rate $f_s = \dfrac 1 T$ $f(n) = \alpha t 1(t)= \alpha n T,~n=0,1,\dots$ $F(z) = \displaystyle{\sum_{n=0}^\infty}~\alpha n T z^{-n}$ $F(z) = \alpha T \displaystyle{\sum_{n=0}^\infty}~\ n z^{-n}$ $F(z) = \alpha T \dfrac{z}{(z-1)^2}$
Hi Thank you very much for your help but could I check with you what does the alpha α means in the equation ? I can't really find any information online with regard to the α alpha January 23rd, 2017, 04:39 AM   #6
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Quote:
 Originally Posted by romsek what is $1(k)$ and $1(t)$ ?
Both are unit step if I am correct January 23rd, 2017, 05:20 AM   #7
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 Originally Posted by KaiL Hi Thank you very much for your help but could I check with you what does the alpha α means in the equation ? I can't really find any information online with regard to the α alpha
it's just some constant January 23rd, 2017, 07:14 AM   #8
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 Originally Posted by romsek it's just some constant
I see. Thank you very much for your explanation  Tags sampled, signal, transform Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post szz Applied Math 0 December 16th, 2015 01:03 PM Rian Applied Math 1 January 7th, 2015 03:57 PM azizlwl Advanced Statistics 3 March 22nd, 2012 04:22 PM SysInv Applied Math 3 October 15th, 2010 07:38 PM jokker Algebra 1 June 29th, 2008 03:40 AM

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