a) Determine the sampling rate for an analog telephone signal transmitted across a single channel of a T1 line with a data rate of 1.8 Mbps (megabits per second), assuming that a single sample is converted to a 16-bit integer.
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
This topic is widely taught in many undergraduate and postgraduate degree courses of:
![Question 2
a) Determine the sampling rate for an analog telephone signal
transmitted across a single channel of a T1 line with a data
rate of 1.8 Mbps (megabits per second), assuming that a
single sample is converted to a 16-bit integer.
b) A digital sound recorder captures sound from the real-
world, processes the audio and stores it in binary form.
Using the principles of digital signal processing, practically
explain how this phenomenon occurs.
c) Using the IEEE Standard 754 single precision for floating
point numbers, represent the number
-1.101110011011 x 223 as a 32 bit floating point
X
number.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc73028d3-e832-4ece-994f-bde95f474311%2F40c06772-cc45-4819-bf6e-748c6e138025%2Fgcgqdsk_processed.jpeg&w=3840&q=75)
![Question 1
a) A 9-bit binary number is used to represent an analog value
in the range from 120 ounces to 600 ounces, determine the
resolution of the system and interprete your
result.
b) Represent each of the following integers as 10-bit two's
complement binary numbers.
i) -18510
ii) 15610
iii) -20510
iv) 16910
e) Explain the term duty cycle and determine the pulse
duration of a periodic pulse train whose duty cycle is 30%
and frequency is 2.5Mhz. Interprete your results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc73028d3-e832-4ece-994f-bde95f474311%2F40c06772-cc45-4819-bf6e-748c6e138025%2Fispof8q_processed.jpeg&w=3840&q=75)
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