Q4. The signal x(t) given by x(t) = 1+ 2 sin(80nt) + 1.5 cos(300nt) + 0.5 cos(375nt) + 0.7sin (815at) is applied to the following system LPF ADC Digital x(t). Fc=400 Hz FSAM? Processor

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Q4. The signal x(t) given by,
x(t) = 1+2 sin(80nt) + 1.5 cos(300nt) + 0.5 cos(375t) + 0.7sin (815at)
is applied to the following system
LPF
ADC
Digital
x(t)
Fc=400 Hz
FSAM?
Processor
a. Find the minimum sampling frequency that can be used by the Analog to
Digital Converter, ADC, given that the Low Pass Filter, LPF, is ideal. Justify
your answer.
b. Each sample is then quantized (“measured") by comparing the amplitude of
each sample to a standard set of 1024 levels. Determine the total number of
bits generated in a six-minute interval.
c. If the range of the ADC is ± 5 V, detrmine its resolution, A, and it's
quantization error.
Transcribed Image Text:Q4. The signal x(t) given by, x(t) = 1+2 sin(80nt) + 1.5 cos(300nt) + 0.5 cos(375t) + 0.7sin (815at) is applied to the following system LPF ADC Digital x(t) Fc=400 Hz FSAM? Processor a. Find the minimum sampling frequency that can be used by the Analog to Digital Converter, ADC, given that the Low Pass Filter, LPF, is ideal. Justify your answer. b. Each sample is then quantized (“measured") by comparing the amplitude of each sample to a standard set of 1024 levels. Determine the total number of bits generated in a six-minute interval. c. If the range of the ADC is ± 5 V, detrmine its resolution, A, and it's quantization error.
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