5. For a lowpass signal with a bandwidth of 6000HZ, what is the minimum sampling frequency for perfect reconstruction of the signal? What is the minimum required sampling frequency if a guard band of...

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Extracted text: 5. For a lowpass signal with a bandwidth of 6000HZ, what is the minimum sampling frequency for perfect reconstruction of the signal? What is the minimum required sampling frequency if a guard band of 2000 Hz is required? If the reconstruction filter has the frequency response ´K Ifl < 7000="" h(f)="Ifl" –="" 7000="" к="" —="" к="" 7000="">< |f|="">< 10,000="" 3000="" otherwise="" answer:="" -="" for="" no="" aliasing="" to="" occur="" we="" must="" sample="" at="" the="" nyquist="" rate="" fs="2" ·="" 6000="" samples/sec="12000" samples/sec="" with="" a="" guard="" band="" of="" 2000="" fs="" –="" 2w="2000" =="fs" =="" 14000="" the="" reconstruction="" filter="" should="" not="" pick-up="" frequencies="" of="" the="" images="" of="" the="" spectrum="" x(f).="" the="" nearest="" image="" spectrum="" is="" centered="" at="" fs="" and="" occupies="" the="" frequency="" band="" [fs="" –="" w,="" fs="" +="" w="" 1.="" thus="" the="" highest="" frequency="" of="" the="" reconstruction="" filter="" (="10000)" should="" satisfy="" 10000="">16000 For the value fs = 16000, K should be such that K · fs = 1 ==K = 1/(16000)