EE451
Fall 2008
_
EE 451 HW7
4.11
Ya(j)
1/2T
-/3=-m/3
4.14
| Ga( j ) |=
/3=m/3
+ a2
2
As =0 then |Ga(j0)|=0
= then |Ga(j)|=1
At 3-db |Ga(j0)|2=1/2, therefore c=a
4.25
The order of a Type 1 Chebyshev filter can be found from the equation:
N=
cosh 1 (1 / k
EE451
Fall 2008
_
EE 451 HW6
10.5
n odd
h [ n] = 2 / n
hHT [n] = HT
n even
hHT [n] = 0
The plot of the frequency response of the truncated Hilbert Transformer
10.17 A Hanning window gives the smallest length.
The plot of the magnitude response of the ba
EE451
Fall 2008
_
EE 451 HW5
9.4
The specs on the lowpass filter are:
Passband ripple 1p
Passband frequency p and -p
Stopband frequency s and -s
The specs on the highpass filter are:
Passband ripple 1p
Passband frequency -p and (-p)
Stopband frequency -s
EE451
Fall 2008
_
EE 451 HW4
8.3
Y(Z)/X(Z) = 2/(1+3z-1+2K)
The transfer function of the closed-loop discrete-time feedback system has one single
pole at zp = -3/(1+2K). For stability (|z|<1) the gain K should assume values: K > 1
or K < -2
8.9
By using au