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by: Maudie Quitzon

37

0

5

# ADTPIntro Wireless Sensor Ntw EE 591V

Marketplace > West Virginia University > Electrical Engineering > EE 591V > ADTPIntro Wireless Sensor Ntw
Maudie Quitzon
WVU
GPA 3.98

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
5
WORDS
KARMA
25 ?

## Popular in Electrical Engineering

This 5 page Class Notes was uploaded by Maudie Quitzon on Saturday September 12, 2015. The Class Notes belongs to EE 591V at West Virginia University taught by Staff in Fall. Since its upload, it has received 37 views. For similar materials see /class/202862/ee-591v-west-virginia-university in Electrical Engineering at West Virginia University.

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Date Created: 09/12/15
Course 18327 and 1130 Wavelets and Filter Banks Discretetime filters convolution Fourier transform lowpass and highpass filters Discrete Time Filters Input Output xn yn n denotes the time variable 2 1 0 1 2 xn denotes the sequence of input values quot5 xl39zla x391 xo x1 x2 yn denotes the sequence of output values Assume that a the principle of superposition holds cgt system is linear ie combining any two inputs in the form Axan Blenl results in an output of the form Ay1lnl Byzlnl b the behavior of the system does not change with time Le a delayed version of any input xdn xn d produces an output with a corresponding delay ydlnl Vln d Under these conditions the system can be characterized by its response hn to a unit impulse 8n which is applied at time n 0 1 Le the particular input Unit xn 5W Impulse 2 1 0 1 2 n h 1 thm produces the output h2 hm Impulse Vln hn Response 21012n The general input 00 xn Z xk 8n k k 00 will thus produce the output 00 yn k2wxkhnk Convolution sum Fourier Transform Discrete time Fourier transform o0 Xn Z xn e401quot n 00 Inverse TC xn 3 f Xoaei quot do 3971 Frequency Response Suppose that we have the particular input xn eioan eimn Heimn What Is the output gt Vin 2 MM X n k k eioanz hlk eioak k W Hw Frequency Response Convolution Theorem A general input 1 1t xn g fXo3 elmn d0 will thus produce the output yn erun Hon eiwn dm gt You XmHm Ym Convolution Convolution of sequences xn and hn is denoted by hn xn xlkl hln kl Vlnl say Matrix form h0 hl1 hlZl ill2 39h1h0 h1 hlZl ill1 h2h1 h0 hl1lhlZl lilo hm hm h0 h1 Vl1 hm hm h0 viz Toeplitz matrix

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