.MCAD 304020000 1 74 64 0
.CMD PLOTFORMAT
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 21 15 0 0 3 
.CMD FORMAT  rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge temperature tr=0 vm=0
.CMD SET ORIGIN 0
.CMD SET TOL 0.001000000000000
.CMD SET PRNCOLWIDTH 8
.CMD SET PRNPRECISION 4
.CMD PRINT_SETUP 1.200000 1.218750 1.200000 1.200000 0
.CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty*
.CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFAULT_TEXT_PARPROPS 0 0 0
.CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables
.CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants
.CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text
.CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1
.CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2
.CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3
.CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4
.CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5
.CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6
.CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7
.CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=2 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD UNITS U=1
.CMD DIMENSIONS_ANALYSIS 0 0
.CMD COLORTAB_ENTRY 0 0 0
.CMD COLORTAB_ENTRY 128 0 0
.CMD COLORTAB_ENTRY 0 128 0
.CMD COLORTAB_ENTRY 128 128 0
.CMD COLORTAB_ENTRY 0 0 128
.CMD COLORTAB_ENTRY 128 0 128
.CMD COLORTAB_ENTRY 0 128 128
.CMD COLORTAB_ENTRY 128 128 128
.CMD COLORTAB_ENTRY 192 192 192
.CMD COLORTAB_ENTRY 255 0 0
.CMD COLORTAB_ENTRY 0 255 0
.CMD COLORTAB_ENTRY 255 255 0
.CMD COLORTAB_ENTRY 0 0 255
.CMD COLORTAB_ENTRY 255 0 255
.CMD COLORTAB_ENTRY 0 255 255
.CMD COLORTAB_ENTRY 255 255 255
.TXT 2 1 1 0 0
Cg a73.000000,73.000000,213
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue255;\red0\green0\blue0;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 File 
Name:408_ca6.mcd\tab \tab Dr. James S. Kang, Professor, Cal Poly 
Pomona\par Given the locations of poles and zeros, plot the poles and 
the zeros, and unit circle.\par Also, plot the magnitude response and 
the phase response.}}
.EQN 9 0 35 0 0
{0:x}NAME:-1,-0.99;1
.EQN 0 14 36 0 0
{0:ty}NAME({0:x}NAME):\(1-({0:x}NAME)^(2))
.EQN 0 20 37 0 0
{0:by}NAME({0:x}NAME):-{0:ty}NAME({0:x}NAME)
.EQN 3 -34 44 0 0
{0:N}NAME:4
.EQN 0 8 45 0 0
{0:m}NAME:0;{0:N}NAME-1
.TXT 0 15 46 0 0
Cg a50.000000,50.000000,35
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue255;\red0\green0\blue0;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 N is 
the number of poles and zeros.}}
.EQN 5 -23 39 0 0
({0:p}NAME)[({0:m}NAME):0.5+1j*0.5,0.5-1j*0.5,-0.5+1j*0.5,-0.5-1j*0.5
.EQN 0 15 40 0 0
({0:z}NAME)[({0:m}NAME):0.8,1j*0.8,-0.8,-1j*0.8
.EQN 15 -15 41 0 0
2&-2&(_n_u_l_l_&_n_u_l_l_)&{0:Im}NAME(({0:p}NAME)[({0:m}NAME)),{0:Im}NAME(({0:z}NAME)[({0:m}NAME)),{0:ty}NAME({0:x}NAME),{0:by}NAME({0:x}NAME)@2&-2&(_n_u_l_l_&_n_u_l_l_)&{0:Re}NAME(({0:p}NAME)[({0:m}NAME)),{0:Re}NAME(({0:z}NAME)[({0:m}NAME)),{0:x}NAME
0 1 1 1 1 0 0 1 1 
0 1 1 1 1 0 0 1 1 
1 0 0 0 1 1 NO-TRACE-STRING
5 0 1 0 1 1 NO-TRACE-STRING
0 1 3 0 1 1 NO-TRACE-STRING
0 1 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 21 19 10 0 3 Digital Pole-Zero Diagram
.EQN 38 0 47 0 0
{0:H}NAME({0:\q}NAME):(((0,{0:N}NAME-1,{0:m}NAME,(({0:e}NAME)^(1j*{0:\q}NAME)-({0:z}NAME)[({0:m}NAME))){65}))/(((0,{0:N}NAME-1,{0:m}NAME,(({0:e}NAME)^(1j*{0:\q}NAME)-({0:p}NAME)[({0:m}NAME))){65}))
.EQN 0 25 50 0 0
{0:pha}NAME({0:\q}NAME):{0:if}NAME({0:H}NAME({0:\q}NAME)÷0,0,{0:arg}NAME({0:H}NAME({0:\q}NAME)))
.EQN 12 -25 57 0 0
{0:dB}NAME({0:\q}NAME):20*{0:log}NAME(|({0:H}NAME({0:\q}NAME)))
.EQN 5 0 58 0 0
{0:\q}NAME:0,0.01;2*{0:\p}NAME
.EQN 20 0 59 0 0
&&(_n_u_l_l_&_n_u_l_l_)&|({0:H}NAME({0:\q}NAME))@&&(_n_u_l_l_&_n_u_l_l_)&({0:\q}NAME)/(2*{0:\p}NAME)
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 54 17 10 0 3 
.EQN 27 0 61 0 0
&&(_n_u_l_l_&_n_u_l_l_)&{0:dB}NAME({0:\q}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:\q}NAME)/(2*{0:\p}NAME)
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 54 17 10 0 3 
.EQN 29 0 64 0 0
&&(_n_u_l_l_&_n_u_l_l_)&{0:pha}NAME({0:\q}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:\q}NAME)/(2*{0:\p}NAME)
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 54 17 10 0 3