7/21/2019 Esp Sheet Semtest 2 Final

http://slidepdf.com/reader/full/esp-sheet-semtest-2-final 1/4

Convolution

Deconvolution

 

FIR flter design

 F s

=2(BW )

∆ f norm=f stop−f 3dB

 F s

f ' 

 Lcnorm= fc

fs −∆ f norm/2

f ' 

 H cnorm=fc

fs +∆ f norm /2

h (n )=hd (n )w (n)

Choice o window unction

(passband ripple and stopband

attenuation)

δ 

min (¿¿s ,δ  p)¿

 A s=−20 log  ¿

 A p=20log  (1+δ  p)

IIR Filter design:

1. ole and !ero place"ent

"ethod:

f rel, notch=  2

 F s× F unwanted × π 

f rel, BW =  2

 F s× F BW  ×π 

3dB points:

f 

(¿¿ rel ,BW /2)f rel ,notch± ¿

for r > 0.9 is given by: r ≈ 1 –

(BW3dB/Fs)π

 H  (  )=  ( −e

− !"1)( −e+ !" 1)

( −r e− !"2)( −r e

+ !"2)   (1!)

"1=f rel,notch

"2=f upper pass

#. $!% "ethod

#s

 p=#'  p

#' s ("ig# $%ss)

#s

 p= #' s

#'  p (&o' $%ss)

2π ×# $

2×F s#'  $= tan  ¿

 (   # $= foran% w )

(&andpass ) :#0=#centre=2π ×f center  

#s

 p=#&p

2 −#0

2

W #&p

(stop&and ): #s

 p=  W ' #&s

#0

2

−#&s

2  

oles o protot&pe flter:

7/21/2019 Esp Sheet Semtest 2 Final

http://slidepdf.com/reader/full/esp-sheet-semtest-2-final 2/4

bst for s %**ording to type of

+,ter (Fig1)

&et s - (1)/(1)

bstitte v%,es %nd *#%ngefor to 1

Figure 1 - Filter conversion

$andpass and bandstopped

Wor2 ot pries for :

(   # p1  %nd # p2  for b%nd b%ss %nd

(   #s1  %nd #s2 )

Realisation structure

Figure 2 - Transversal

7/21/2019 Esp Sheet Semtest 2 Final

http://slidepdf.com/reader/full/esp-sheet-semtest-2-final 3/4

Figure 3 - Linear 

'. I"pulse Invariant "ethod

∝=2π × f cutoff 

 

$%rti%, fr%*tion: if >- 45 ,ong

division

6nit ip,se: "()-7()/8()

%s*%de: *%,* *oon f%*tor

ross orre,%tion: r1; s#ift ,eft -

tive -1 1

7/21/2019 Esp Sheet Semtest 2 Final

http://slidepdf.com/reader/full/esp-sheet-semtest-2-final 4/4