microelectronics
Member level 1
1. An analogue signal is give as follow :
x(t)=cos(2*pi*f_1 n⁄f_(s ) + pi)-1.5 cos(2*pi*f_(2 ) n⁄f_(s ) + pi⁄3)- 4cos(2*pi*f_(3 ) n⁄f_(s ) )
Where f_(3 )=4Khz ,f_2=2Khz and f_(1 )=1kHz;x(t) is a signal which is fed into a linear phase filter. The time-domain output signal is given as follow:
y(t)=3cos(2*pi*f_(1 ) n⁄f_(s ) + C1)+6 cos(2*pi*f_(3 ) n⁄f_(s ) + C3)
Where C1 and C3 are constants.
a) What type of filter is this e.g low pass filter or high pass filter or etc ?
b) Sketch an ideal case of this an 8-tap filter |H(k)| that could do the job as describe above.
c) Instead of an ideal filter, design an 16-tap linear phase FIR filter by using frequency sampling method with the sampling frequency of 16Khz.
Show calculations of h
.
Hey guys , first i am not asking u all to do my homework , its just that i am stuck at this question. i have no clue how to do it.. if its okay with u guys , please show my some guidance to solving this problem. =)
x(t)=cos(2*pi*f_1 n⁄f_(s ) + pi)-1.5 cos(2*pi*f_(2 ) n⁄f_(s ) + pi⁄3)- 4cos(2*pi*f_(3 ) n⁄f_(s ) )
Where f_(3 )=4Khz ,f_2=2Khz and f_(1 )=1kHz;x(t) is a signal which is fed into a linear phase filter. The time-domain output signal is given as follow:
y(t)=3cos(2*pi*f_(1 ) n⁄f_(s ) + C1)+6 cos(2*pi*f_(3 ) n⁄f_(s ) + C3)
Where C1 and C3 are constants.
a) What type of filter is this e.g low pass filter or high pass filter or etc ?
b) Sketch an ideal case of this an 8-tap filter |H(k)| that could do the job as describe above.
c) Instead of an ideal filter, design an 16-tap linear phase FIR filter by using frequency sampling method with the sampling frequency of 16Khz.
Show calculations of h
.Hey guys , first i am not asking u all to do my homework , its just that i am stuck at this question. i have no clue how to do it.. if its okay with u guys , please show my some guidance to solving this problem. =)