Problem 1. A signal x(t) with frequency as given below is passed through an ADC (Analog to Digital Converter) running at sampling rate Fs1 and a DAC (Digital to Analog Converter) operating at Fs2, What is the frequency of the reconstructed signal x'(t)? (note the values of Fs1 and Fs2 are different between them and different for the different parts of the question) a. f1 in = 600 Hz; Fs1 = b. f2 in = 750 Hz; Fs1 = 1kHz; Fs2 = 2 kHz; 1kHz; Fs2 = 4 kHz; f1 out =? f2 out = ? c. f3 in = 400 Hz; Fs1 = 1kHz; Fs2 = 500 Hz; f3 out = ? d. f4 in = 200 Hz; Fs1 = 1kHz; Fs2 = 1 kHz; f4 out = ? x(t) fin ADC Fs1 DAC FS2 x' (t) fout .b

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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: