5. Given the spectrum of a continuous-time signal as shown below -20π X(w) 10 20πt Sketch the spectrum of the sampled signal if this signal is sampled at the following sampling frequency fs = 15Hz i) ii) fs = 20Hz Label the frequency and peak amplitude values on the spectrum. At each of the above sampling frequencies, is it possible to reconstruct the original signal exactly from the sampled signal using a low-pass filter?
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
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![5. Given the spectrum of a continuous-time signal as shown below
-20π
X(w)
10
20πt
Sketch the spectrum of the sampled signal if this signal is sampled at the following
sampling frequency
fs = 15Hz
i)
ii) fs = 20Hz
Label the frequency and peak amplitude values on the spectrum.
At each of the above sampling frequencies, is it possible to reconstruct the original signal
exactly from the sampled signal using a low-pass filter?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f6c81c7-9a41-4014-8916-60df888d5014%2F85057fc3-746a-43e3-8389-b05e970368d2%2Fj3hsugea_processed.png&w=3840&q=75)
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