One of the hall marks of a good engineer is to design systems that can meet practical constraints or design requirement. Suppose you want to design a SSB filter that can generate SSB signal by modulating the low pass signal z(t) (with BW W << fi and W << f₂) in two steps. However you don't have an ideal band pass filter with zero transition bandwidth. The desired carrier frequency is 500 kHz and you can afford a transition bandwidth of upto 3000 Hz. Practical band pass filters typically transition bandwidth 28 0.01 fe. Suppose you have BPFs that have a transition bandwidth 26= 0.01 fe. Since you cannot directly go to the desired frequency and still achieve a transition bandwidth of less than 2500 Hz, you decided that you will generate SSB signal using two step process given below.

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One of the hall marks of a good engineer is to design systems
that can meet practical constraints or design requirement. Suppose you want to design
a SSB filter that can generate SSB signal by modulating the low pass signal z(t) (with
BW W << fi and W << f₂) in two steps. However you don't have an ideal band pass
filter with zero transition bandwidth. The desired carrier frequency is 500 kHz and you
can afford a transition bandwidth of upto 3000 Hz. Practical band pass filters typically
transition bandwidth 282 0.01 fe. Suppose you have BPFs that have a transition
bandwidth 2,0 = 0.01 fe. Since you cannot directly go to the desired frequency and still
achieve a transition bandwidth of less than 2500 Hz, you decided that you will generate
SSB signal using two step process given below.
z(t)
Za(t)
X
сos(2πf₁t)
BPF1
1
Zb (t)
X
cos(2πf₂t)
Figure 4: Caption
BPF2
ZSSB (t)
1)
Design the system i.e., suggest frequency of local oscillator 1 (LO1) before
BPF1 and the frequency of the local oscillator 2 (LO2) before the BPF2 such that
you we have a signal at 300 KHz and the filter has a transition bandwidth less
than or equal to 2000 Hz.
2)
Is your design unique or we can have multiple designs that can fulfil the
design requirements. If yes, give one alternate design.
3)
If the carrier frequency is changed to 1 MHz, can you design the system
with the same requirement of transition bandwidth (3000 Hz) in two steps
4)
Determine the minimum number of steps that will be required to generate
SSB signal at 1 MHz.
Transcribed Image Text:One of the hall marks of a good engineer is to design systems that can meet practical constraints or design requirement. Suppose you want to design a SSB filter that can generate SSB signal by modulating the low pass signal z(t) (with BW W << fi and W << f₂) in two steps. However you don't have an ideal band pass filter with zero transition bandwidth. The desired carrier frequency is 500 kHz and you can afford a transition bandwidth of upto 3000 Hz. Practical band pass filters typically transition bandwidth 282 0.01 fe. Suppose you have BPFs that have a transition bandwidth 2,0 = 0.01 fe. Since you cannot directly go to the desired frequency and still achieve a transition bandwidth of less than 2500 Hz, you decided that you will generate SSB signal using two step process given below. z(t) Za(t) X сos(2πf₁t) BPF1 1 Zb (t) X cos(2πf₂t) Figure 4: Caption BPF2 ZSSB (t) 1) Design the system i.e., suggest frequency of local oscillator 1 (LO1) before BPF1 and the frequency of the local oscillator 2 (LO2) before the BPF2 such that you we have a signal at 300 KHz and the filter has a transition bandwidth less than or equal to 2000 Hz. 2) Is your design unique or we can have multiple designs that can fulfil the design requirements. If yes, give one alternate design. 3) If the carrier frequency is changed to 1 MHz, can you design the system with the same requirement of transition bandwidth (3000 Hz) in two steps 4) Determine the minimum number of steps that will be required to generate SSB signal at 1 MHz.
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