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Page 11 of 18 Question # 2 (a) A random signal $m(t)$ with a highest frequency component of 30 kHz is required to be converted to a digital signal using an Analog-to-Digital Converter (ADC). The amplitude probability density function of the random input signal is uniform in [-2, +2]. The bits from the ADC are required to be stored on a digital computer for further processing. Design an ADC system that meets the following specifications: i) Signal-to- Quantization Noise Ratio (SQNR), of 42 dB or better; (ii) Sampling rate equal to 3 times that of the Nyquist rate of sampling of $m(t)$; and (iii) NRZ signaling is used to transmit binary data over the channel to the computer [Bit '0' \rightarrow +1V and Bit '1' \rightarrow -1V, $0 \leq t \leq T_b$], where $T_b$ is the bit duration. Specifically, determine the number of bits, $b$, required to represent each sample and determine the bit rate, $f_b$, of the system. What is the memory requirement of the digital computer if we are required to store the digital signal for a period of 1 minute? Draw the block diagram of the ADC system and specify characteristics of each subblock of the system. Sketch the output of the ADC if the binary output sequence is 01010101.... [10 Marks] b=____ bits $f_b$= bits/sec Memory Requirement: bits Block diagram of ADC Output waveform of ADC

          Page 11 of 18
Question # 2
(a) A random signal $m(t)$ with a highest frequency component of 30 kHz is
required to be converted to a digital signal using an Analog-to-Digital
Converter (ADC). The amplitude probability density function of the random
input signal is uniform in [-2, +2]. The bits from the ADC are required to be
stored on a digital computer for further processing.
Design an ADC system that meets the following specifications: i) Signal-to-
Quantization Noise Ratio (SQNR), of 42 dB or better; (ii) Sampling rate equal
to 3 times that of the Nyquist rate of sampling of $m(t)$; and (iii) NRZ signaling
is used to transmit binary data over the channel to the computer [Bit '0' \rightarrow
+1V and Bit '1' \rightarrow -1V, $0 \leq t \leq T_b$], where $T_b$ is the bit duration.
Specifically, determine the number of bits, $b$, required to represent each
sample and determine the bit rate, $f_b$, of the system. What is the memory
requirement of the digital computer if we are required to store the digital
signal for a period of 1 minute?
Draw the block diagram of the ADC system and specify characteristics of
each subblock of the system. Sketch the output of the ADC if the binary output
sequence is 01010101....
[10 Marks]
b=____ bits
$f_b$=____ bits/sec
Memory Requirement:____ bits
Block diagram of ADC
Output waveform of ADC

Page 11 of 18
Question # 2
(a) A random signal m(t) with a highest frequency component of 30 kHz is
required to be converted to a digital signal using an Analog-to-Digital
Converter (ADC). The amplitude probability density function of the random
input signal is uniform in [-2, +2]. The bits from the ADC are required to be
stored on a digital computer for further processing.
Design an ADC system that meets the following specifications: i) Signal-to-
Quantization Noise Ratio (SQNR), of 42 dB or better; (ii) Sampling rate equal
to 3 times that of the Nyquist rate of sampling of m(t); and (iii) NRZ signaling
is used to transmit binary data over the channel to the computer [Bit '0' →+1V and Bit '1' →-1V, 0 ≤ t ≤ Tb], where Tb is the bit duration.
Specifically, determine the number of bits, b, required to represent each
sample and determine the bit rate, fb, of the system. What is the memory
requirement of the digital computer if we are required to store the digital
signal for a period of 1 minute?
Draw the block diagram of the ADC system and specify characteristics of
each subblock of the system. Sketch the output of the ADC if the binary output
sequence is 01010101....
[10 Marks]
b= bits
fb= bits/sec
Memory Requirement: bits
Block diagram of ADC
Output waveform of ADC

Added by Jeremy M.

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